{"text":"Question: -411255532 (base 6) to base 8\nAnswer: -32755320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -63 + 60. Let y be (90\/(-20))\/(u\/2). Solve -y*n = -2*h - 7, 0*h + 5*n - 21 = h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 56 + -53. Let i = 33 + -24. Suppose -2*o = -b*q + 8, 5*o + 4 + i = 4*q. Solve k - q - 7 = -3*a, 5*a - 26 = 2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -267 - (-57 + -177) - (-2 - 85).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -90*n. Let c(k) = 599*k**2. Give a(c(i)).\nAnswer: -53910*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 minutes before 12:56 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1\/9 - 4\/9. Let z = -4.85 - -1.85. Let v = -8 - -8. What is the closest to i in 1\/2, v, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1267301567 is divided by 2496?\nAnswer: 2495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is ((63\/3304)\/3)\/(414\/(-276))*-8?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of r**4 - 6*r**3 + 18*r**2 + 2*r?\nAnswer: 24*r - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -303 - -757. What are the prime factors of l?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 2.2, 227 in decreasing order.\nAnswer: 227, 2.2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of r**4*t - 2*r**4 - 2*r*t + 6*t - 1 wrt r.\nAnswer: 4*r**3*t - 8*r**3 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-368)\/(-60) - (-4)\/(-30). Suppose -5*u + 20 = -a*b + 2*b, 5*u - 3*b - 20 = 0. Suppose u = -3*p + 5*p. Solve -7 = h + p*j, -3*h + 2*j = 3*j + 16 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 - -14. What is the lowest common multiple of 28 and i?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2.05 + 2. Let n = 0.84 - -3.11. Let y = l - n. Which is the closest to -0.1?  (a) y  (b) -1  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (165\/165)\/(1 + -4). Let y = 0.016 + 0.304. Which is the biggest value?  (a) -2  (b) x  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, 17\/2, -382, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -184272\/17 - -10840. Is a at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 120 = 4*n, -45 = 5*n - 3*u - 178. Suppose -4*x + 127 + n = 0. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.04 + -0.11. Let m = -7.85 + f. Let k = 7.951 + m. Round k to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 15*i - 13754. Let b(o) = -11*o + 13757. Give 4*b(x) + 3*w(x).\nAnswer: x + 13766","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.02275*1.024.\nAnswer: 0.023296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -112 = -2*c + 32. What is the remainder when c is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 5, s: 4, u: 2}. What is prob of picking 1 q and 3 s?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 25393\nAnswer: 4\/25393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5296 = -2*x - 2*x. Is (x\/6)\/((-4)\/(-6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12887 - 9800. Is j a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in -7.4, 8, -34, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p = 5*y - 20, -5*y + 391 = p + 386 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 10631 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: Which is the third smallest value?  (a) 3\/11  (b) 5  (c) 5.345\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 minutes before 6:09 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -7920 divided by -1320?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -3*v. Let u(k) = 22881*k. Give d(u(t)).\nAnswer: -68643*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sum -17615477476 and -1.7.\nAnswer: -17615477477.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80*r = -313*r - 984 + 7042 for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -7*t. Suppose -2*s + 1 = y - 0, 5*y + 17 = s. Let r(m) = -64*m. Calculate y*r(g) + 28*i(g).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that 10*h**4 - 35*h**3\/2 - 5*h**2 = 0.\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 580 divided by -5\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*d**3 + d**2 - d**2)*(0*d**2 - 2*d**2 + 0*d**2) + 7*d**5 - 263*d**3 + 263*d**3 + (0*d - d**3 + 0*d)*(2*d**2 - 6*d**2 + 3*d**2).\nAnswer: 4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 157205 (base 9) to base 12\nAnswer: 48258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the third derivative of -h**5\/140 - 91*h**4\/4 - 57967*h**3\/2 + 24*h**2 - 7*h. Let d(o) = 0. Calculate o.\nAnswer: -637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the first derivative of -s - 10 + s**2 + 5\/3*s**3. Give c(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(117) + (sqrt(117) - sqrt(117)*-2 - sqrt(117) - sqrt(117)) - sqrt(117))\/sqrt(3) - sqrt(39) - -4*sqrt(39)*3)\/(-3*4*sqrt(240)\/sqrt(5)).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.15 + -1.25. What is the third biggest value in k, -0.4, -5\/3, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (44\/66)\/(4\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 21 (base 3) to base 5\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 0, -5, 2, -8 in descending order.\nAnswer: 5, 2, 0, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 5\/4, 1\/11, 170, 1.4, -14 in descending order.\nAnswer: 170, 1.4, 5\/4, 1\/11, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the third derivative of 0 + 0*z + 1\/60*z**5 + 0*z**3 + 5*z**2 + 0*z**4. Let k(v) = -v**2. Determine n(k(r)).\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*u + 5*r - 16, 60*r = -3*u + 62*r - 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**2\/5 - 4*r.\nAnswer: 2*r*(r - 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56*z = 17*z + 39 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 43*h**3 + 3*h - 18*h**3 - 23*h**3 - h to j*h**3 + q + n*h + k*h**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 83\/6 and 8\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 18 = -9*c + 13*c, 4*f + 24 = 4*c. Let k(x) = 27*x + 194. Let h be k(f). Calculate the highest common factor of h and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 15690624*b*f + 7655685*f with respect to b.\nAnswer: 15690624*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k = -371 - 1093. Find the common denominator of ((-46)\/4)\/((-2)\/(-4)) and 1\/(2 + k\/144).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 321 (base 5) to base 14.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (563\/5630 - 9\/10)\/(28\/10)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 28 = -0. Let m be (-5)\/2*24\/(-15). Solve -x*n + m = -3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 48c0 + -396?\nAnswer: 4529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4651 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -b - 2*b**2 + 0 - 9 + 11 in the form s*b + a*b**2 + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*i - 26*i + 7 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 10\/75 - (-149)\/(-30) and ((-1)\/(-4)*33)\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 33236836 and 4216?\nAnswer: 66473672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z - 3*k = 9*z - 57, -2*k = 6. Suppose -18*r + z*r = 75. Let t(b) = -b + 6. Let y(d) = -4*d + 24. Let c(g) = 9*t(g) - 2*y(g). Determine c(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 41019 - 40945. Calculate the remainder when 80 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bvbbbbvbbbb. Give prob of sequence vb.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 415868234 to the power of 1\/2, to the nearest integer?\nAnswer: 20393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 364718.9 tonnes in kilograms?\nAnswer: 364718900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -46997 by -13487.\nAnswer: 46997\/13487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 e when two letters picked without replacement from {n: 4, c: 2, e: 6}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 184 minutes after 6:45 PM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 15 = 0, 4*l + 5*s - 27 = -10. Let z be (-2)\/(-4)*(2 - l). Let u(a) = a**2 + 3*a - 4. Determine u(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 301 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15, -1, -2\/13, -2\/5 in descending order.\nAnswer: -2\/13, -2\/5, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-428)\/(-10))\/(12*(-14)\/(-420)). Solve 113*x + 12 = d*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -57\/4880 and 79\/48.\nAnswer: 14640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**2 - 21*x + 56. Let h be w(18). Solve 3*l - 4 = h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 924307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 72 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 + -20 - (3 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -26*52\/1014*(-57)\/(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 247228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (170\/765)\/((-3)\/(18\/4)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, -6, 5, -1, 6, -2 in decreasing order.\nAnswer: 6, 5, -1, -2, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -85*p - 7*p - 552 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-27)\/12*(-140)\/105\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1071819 rounded to three decimal places?\nAnswer: 0.107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5398506 - 2*c**3 - 5398506.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -116*b - 254*b - 7157 - 1723 for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 12151 and 33263.\nAnswer: 13937197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hshkzpkhkkkpkkhhhzg. What is prob of sequence gsph?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**2 - 5*y - 1. Let x be v(-4). Let p(w) = -9*w - 2. Let m be p(-2). Solve 1 - m = x*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12251 + -3878. What is the thousands digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-158)\/(-6399))\/((-4)\/(-18))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -81*g**2 + 965*g + 28. Give u(12).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*w + 101 = -99. Calculate the greatest common divisor of 5095 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1926?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - m + 5 = 0, 6*m + 8 = 2*w + 2*m. Let q(t) be the first derivative of -1\/2*t**4 + 1 - 2*t**3 - 2*t - 3*t**w. Find b such that q(b) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 153521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 142 a factor of 832857706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 529918 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that -3*y**2\/8 + 1815885*y\/8 - 1815873\/2 = 0.\nAnswer: 4, 605291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + ((0 + sqrt(1088))*4 + sqrt(1088))*-1)**2*2.\nAnswer: -320*sqrt(17) + 54408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14363147 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 12*h**2 + 78*h + 425. What is the remainder when g(-6) is divided by 97?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 4 + 0 + (sqrt(77)\/(-3*sqrt(11)) - sqrt(70)\/(sqrt(60)\/sqrt(6))) + 0 + -2)**2.\nAnswer: -16*sqrt(7)\/3 + 148\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c - 5*y - 14, -2*c + 0*y + 8 = y. Suppose 0 = b - 5*x - 7, -2*x = 4*b + b - 35. Which is smaller: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(20)\/((3*sqrt(100))\/sqrt(10)) - (sqrt(108)\/sqrt(6) + 2))**2.\nAnswer: 160*sqrt(2)\/3 + 820\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/4*u**3 - 1\/8*u**5 + 0*u + 1\/8*u**4 + 0*u**2 + 0.\nAnswer: -u**3*(u - 2)*(u + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 6*h. Let l(t) = 648*t + 2. Give l(d) - 4*q(d).\nAnswer: 624*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -144848, -289672, -434496, -579320?\n\"Answer: -144824*l - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14 (base 5) to base 16.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5 - 7. Let z be (-210)\/4*r\/9. Calculate the greatest common divisor of 20 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -116*f + 117*f + 3 = -o, -3*f = 4*o + 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 5*l + 5*l + 6*l - 3*l.\nAnswer: 13*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*x**4 - 7 + x**4 - x**4 + x**3 + 4 to the form k + n*x**4 + v*x**3 + w*x**2 + c*x and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*c - 4*c + c)*(-13967 + 53 - 15926 - 2516 - 1568 + 2523) to the form d + k*c and give k.\nAnswer: 94203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 24\/445 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 9 (base 16) to base 12\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/5 of a kilogram in grams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -6*w**3 + 5*w**2 - 4*w - 5. Let b(y) = -y**3 + y**2 + y - 1. Let t(s) = -5*b(s) + k(s). Find the second derivative of t(h) wrt h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3 - -1*(-2 + 2). Find the second derivative of 285 - 285 + 7*d**2 + 5*d**p - d**2 + 93*d wrt d.\nAnswer: 30*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4195*k - 160613 = 112062 for k.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -343 - -395. What is the least common multiple of w and 50?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**2 - 4*g + 16. Determine u(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -494 divided by -5?\nAnswer: 494\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3 + -2.7. Let s be (26\/39)\/(14\/(-6)). Which is greater: h or s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -148 + 358. What are the prime factors of f?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 64 + -61. Differentiate 0*n**2 + 131 - 94 + 2*n**o + 0*n**2 wrt n.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1 - -1)*15\/(-6). Let u be (-2)\/(((-210)\/(-9))\/c). Sort u, 1\/4, 4\/3 in decreasing order.\nAnswer: 4\/3, u, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 249348784 and 6130.\nAnswer: 1226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -117885 divided by 3?\nAnswer: -39295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-3\/5)\/y)\/(y*(y\/(((y**2*y)\/y)\/y))\/y)*y**(-12)\/y**(2\/3) assuming y is positive.\nAnswer: y**(-214\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 2171\/(-65) + 702\/130\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = 4*w + 26, 8 = -m + 7. Let b be (7 + 5)\/w - (-1 + -3). Let s be (-4)\/(-6) - 26\/(-6). Solve -d + b*d + s = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 287785.6 to the nearest 100.\nAnswer: 287800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 1302?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*h - 8*h + 1 - 19*h + 102*h.\nAnswer: 59*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 29*v**2 - v - 2. Let g be (3\/6)\/((-5)\/(-20)). Let n be o(g). Let i = -110 + n. What is the least common multiple of 7 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 208055 is divided by 202?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/7, -0.3, 50367\/368?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 2*x = -20, -m - x - 6 + 13 = 0. Let a be (78\/(-2))\/(-3) + -3. Solve 5*i + 3*v = 2 + 10, -a = -m*i + v for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d**3 - 25*d**2 + 3*d + 64. Give n(-25).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 402*t + 16790 - 30458 = 0 for t.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20563, -20554, -20545?\nAnswer: -20536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-9)\/1*((-320)\/24)\/2. Let j = k + -61. Let l(a) be the first derivative of 10*a**3\/3 - a + 4. Give l(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.178 + 0.022. What is the nearest to 1 in i, 4, 21\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8 - 18. Let a = -14 - h. Let m(q) = -q - 21. Let u be m(-20). Sort -2, u, a.\nAnswer: a, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l - 1. Let a(g) = 8*g - 6. Let o(i) = a(i) - 6*s(i). Let n(w) = -8*w. Give o(n(t)).\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-5 + 3 + sqrt(1700) + -1).\nAnswer: -40*sqrt(17) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g**5\/2 + 165*g**4\/2 - 1481*g**3\/2 - 515865*g**2\/2 + 518175*g = 0 for g.\nAnswer: -47, 0, 2, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 84396 or 5?\nAnswer: 84396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 4 = -p, 0 = 5*k - 5*p - 45. Suppose -3*u = k - 16. Solve -2*c + 10 = -s, u*s - 2*c + 10 = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7758 or 2\/253?\nAnswer: -7758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8520.\nAnswer: 2, 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -24562*n - 21702. Let z(d) = 8187*d + 7233. Let x(v) = 4*l(v) + 11*z(v). Differentiate x(g) wrt g.\nAnswer: -8191","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 204.3018 months in years?\nAnswer: 17.02515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 751625.7 grams?\nAnswer: 751625700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together -10 and 9664884.\nAnswer: 9664874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1 + 1. Let x be ((-12)\/9)\/((-80)\/180). What is the nearest to z in 0.2, -0.5, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 334, -3, 0.5, 4, -0.2, 0.4.\nAnswer: -3, -0.2, 0.4, 0.5, 4, 334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 80 + -129. Let d = x - -58. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(3 + (1 + sqrt(847))*3) - 4*-1*4*sqrt(847)*2)**2.\nAnswer: -9108*sqrt(7) + 448387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 36 + 22 + -29 + (0 - -2)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 357460\/(-12306) - (-4)\/84\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = -5*u + 848, -2 = -u + 2. Suppose -f - 4*j + y = -3*f, f = 3*j - 208. Let d = f - -48. What is d rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**3 - a. Let w(y) be the third derivative of y**6\/60 - y**4\/3 - 13*y**2 + 2*y. Calculate -6*c(b) + w(b).\nAnswer: -4*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1  (b) 19  (c) -1\/10  (d) -0.05  (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from ztzzttzzztzwttwtwzz.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 98228 (base 10) in base 15?\nAnswer: 1e188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 3, d: 1, k: 7, t: 5, l: 2}. What is prob of picking 2 k?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6 - -9. Is c - 5 - 36\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = 2*p + 48, -5*q - 2*p = 1 + 107. Let s = 36 + -55. Are q and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -84*s**2 - 32*s**3 - 3240*s - 1063*s - 2041*s - 635*s wrt s.\nAnswer: -192*s - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.062 - 0.062. Let t(k) = -k**2 - 8*k - 5. Let f be t(-6). Put f, -0.5, n in increasing order.\nAnswer: -0.5, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the first derivative of 5*d**3\/3 - 11*d**2\/2 - 8*d + 39. Calculate the remainder when 81 is divided by b(4).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 minutes before 4:16 AM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 2297*n + 97 - 130 + 33 as i*n + p and give i.\nAnswer: 2297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -5*v**2 - 6*v. Let r(p) = -p**2. Let z(o) = h(o) - 6*r(o). Let k be z(6). Suppose k = -0*d - 4*d + 140. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -11*a - 41. Let s(t) = -3*t - 13. Let b(n) = 2*d(n) - 7*s(n). Determine b(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 21\/193451098 and -77\/4.\nAnswer: 386902196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**3 + 8*z**2 - 8*z + 11. Let v be r(-9). Suppose -4*j = v*u - 15 - 1, 4*j = -u + 16. Solve u = m + 6 - 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 197 - 320. Find the common denominator of -68\/9 and (8\/(-36))\/(4\/d).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the third derivative of -z**6\/120 + 7*z**5\/60 - 7*z**4\/24 + z**3\/6 + 110*z**2. Determine u(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -3*m - 6. Let j be f(-3). Suppose 3*v + 0*v = 3*z - 303, -376 = -4*z - j*v. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 5766, 11533, 17300?\n\"Answer: 5767*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -95\/44 and 119\/142836?\nAnswer: 1571196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((-50)\/(-120) + (-4)\/(-48))*-22\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11000111000 (base 2) in base 9?\nAnswer: 2158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the second derivative of -w**8\/2100 + w**7\/350 - w**6\/225 - w**3 + 7*w. Let j(o) be the second derivative of v(o). Factor j(f).\nAnswer: -4*f**2*(f - 2)*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3297 * 76238\nAnswer: 25135.6686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (560\/(-12))\/(-10) + 1\/3. Suppose 4*p - 2*n + 13 = f, 16 = 4*p + 4*n. Factor p - 4\/7*w - 2\/7*w**2.\nAnswer: -2*w*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 2 - 3 - 4*c**3 + (13*c**2 + 141*c - 141*c)*(-2*c - 3 + 3) + (3 - 3 - c**2)*(2 - 2 + 7*c).\nAnswer: -37*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -2*c**2 + 22*c - 6. Let p = 719 + -708. Calculate o(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1842 - -1799) + 49 + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -5 - 19*i - 17 + 11 - 28 - i**2. What is the remainder when 42 is divided by s(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4 + (4 - 3 - 3). Let b(k) = k**2 - 2*k + 2. Let x be b(g). Factor 126*q**3 - q**4 - 127*q**3 + 2*q**x + 1 - 1.\nAnswer: -q**2*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 12, h: 7}. What is prob of picking 2 h?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1 and 2.18672273.\nAnswer: 2.18672273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 3*o + 32. Calculate q(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 9882*s - 20 - 9868*s + 13 - 53 + 9. What is i(6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - (-13 - -5)) + -8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -5*o**3 - 3316*o**2 + 5984*o - 716. Determine h(-665).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -9*f**2 - 12*f + 6. Let g(v) = -v**2 - 2*v + 1. Let z(r) = -6*g(r) + l(r). Let x(p) = 11*p**2 - 4*p**2 - 2*p**2. What is x(z(o))?\nAnswer: 45*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 261 or 1360?\nAnswer: 1360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*p + 2*p + p)*(-157*p**2 + 319*p**2 - 104*p**2) + (-p - 2*p + p)*(-3*p**2 + 3*p**2 - p**2) as j*p + d + f*p**2 + x*p**3 and give x.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 38*d - 158 + 158 to s*d + h and give s.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aua when three letters picked without replacement from zuzizauauz.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 615169 is divided by 105.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 71091 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2*((-15)\/2)\/(-3). Suppose 5*u = a + 2 + 10, 4*u = 3*a + 80. Let g = -12 - a. What is the greatest common factor of n and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -57, -59 in ascending order.\nAnswer: -59, -57, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -809, -811, -815, -821?\nAnswer: -829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 30338830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0 + 15\/96*-1. Let l be 3 - 1 - 2536\/1792. Let y = l + n. Are 1 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u = 2*n, 4 = -39*u + 36*u + n for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.2 times -38?\nAnswer: -83.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 30 and 340435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -17*k - 429. Let y be t(-63). Calculate the greatest common factor of y and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 662 minutes after 8:31 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.3 and 150517584.\nAnswer: 150517583.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.024  (b) 5  (c) -0.5  (d) 24  (e) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 386.9999522 + -387. What is o rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 16) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -342130240 (base 5) in base 12?\nAnswer: -614047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -100 - -99.6. Let o = -0.34 - x. Let l = 0.06 + 0.34. Which is the biggest value?  (a) 1\/7  (b) l  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 58013946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2355749460.\nAnswer: 2, 3, 5, 29, 150431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1*(-1)\/3)\/((-21)\/693). Suppose -2*c + c = -3*o + t, -3*c - 9 = -o. Solve 3*q = -o*h + 12, -11 = -3*h - 2*q - 0*q for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -121\/7879626 and -4\/63.\nAnswer: 55157382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3085 is divided by 530.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 30.1, 2\/19, 0.4, 1\/4, -59, 5 in decreasing order.\nAnswer: 30.1, 5, 0.4, 1\/4, 2\/19, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1 - 350*g**2 + 1212*g**5 - 3*g**3 - 14*g + 14*g + 19*g**6 - 1212*g**5 wrt g.\nAnswer: 2280*g**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.04, 1\/9, -13\/4, -11, -0.5.\nAnswer: -11, -13\/4, -0.5, 0.04, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -137*m - 390. Let b be g(-3). Solve -b*k + 32*k = 55 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -17\/1565 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a and 1 o when three letters picked without replacement from {d: 2, l: 1, o: 4, a: 3, b: 9}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 17408865 and 3030?\nAnswer: 1515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 404 minutes after 9:27 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-12)\/(-12) + 9 + 0. Suppose 2*p = -0*p + f. Suppose 0 = p*d + 1700 + 950. What is d rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6879.9994567 + -6880. Round v to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/((-280)\/(-42)) - (-2)\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16931 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -14\/14471711?\nAnswer: -14\/14471711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 5*w - w**2 - 8 - w**3 + 5*w**2 + 5*w**2. Let s(g) = -g**3 + g**2 + g. Let x(y) = q(y) - 2*s(y). What is the units digit of x(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-18)\/(-4) - (-1)\/2. Suppose -5*q = -2*q - f - j, 3 = 3*q - 3*f. What is the units digit of 1\/(q*(-2)\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 6, j: 2, t: 6, s: 3, k: 2}. What is prob of picking 1 t, 2 r, and 1 k?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(1\/3)*a\/((a\/(a*a*a\/(a\/((a**(-4)\/a)\/a)*a)))\/a)*a*(a*a\/(a**(-2\/9)\/a))\/(((a*a*a**0)\/a)\/a))**(2\/83) assuming a is positive.\nAnswer: a**(10\/747)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2301327544?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 49?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 179\/44981244 and -25\/290884.\nAnswer: 494793684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -320 - -333. Put -3, 0, r in ascending order.\nAnswer: -3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1278*k - 1289*k + 176 = 0. Let a(v) = -v + 15. Calculate a(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1001*u = -352*u - 860 + 4919 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d**3 - 4*d**2 + 6*d - 7. Let g be (-88)\/14 + 2\/7. Let u be z(g). Let l = -16 + u. What is the remainder when l is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-3)\/4)\/(21\/(-112)). Suppose 5*x + 3*b = 13, -b + 5 = 3*x - 2*b. Suppose -28 = -x*s + 4*c, 2*s + 8 = c - 6*c. Is z not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 212*h**2 + 2*h + 1. Let l be o(-1). Let x = -147 + l. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10034510.\nAnswer: 2, 5, 281, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -3\/148210 and -119\/38979230.\nAnswer: 38979230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 715?\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-7 + 4)\/(1\/(-3)). Let h(m) = -m**3 + 9*m**2 + 12*m + 6. Let u be h(d). What is the units digit of (u\/15 + -1)*5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*d**3 - 5*d**3 - 207 - d + 205 as r*d + i*d**3 + o*d**2 + w and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 326.6 to the nearest ten.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 2*r = -124461 - 38091, 15 = -3*r. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 + 0.9. Let h = -0.2 + -0.3. Let u be ((-2)\/(-34))\/(44\/88). What is the biggest value in v, u, h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7 and 18263.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 164*a - 7. Let r be q(5). Suppose -5*u + 2365 = 4*k, 5*k - 5*u - 2177 = r. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express l**4 + l**4 - l**4 + (2 - 2 - 2*l)*(l**3 - 3*l + 3*l) + 3240 - 3240 - 1316*l**4 in the form f*l + t + i*l**4 + m*l**2 + j*l**3 and give i.\nAnswer: -1317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 255*o**4\/7 - 4863*o**3\/7 + 23292*o**2\/7 - 19980*o\/7 + 1296\/7 = 0.\nAnswer: 6\/85, 1, 6, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-16)\/1 + (178 - (-102 + 241)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -2*(-15)\/6 - 1. Let y = k + -2. Suppose -5*a + 5 = -5. What is the remainder when y is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (2 + 1 + -13 + 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(43\/5160*-45).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 52 and 18?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*c + 0 + 1\/4*c**5 - 1\/4*c**3 - 1\/2*c**2 + 1\/2*c**4.\nAnswer: c**2*(c - 1)*(c + 1)*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 8*n**2 - 2*n - 5. Let b(z) = -7*z**2 + 2*z + 4. Let g be 152 + 0 - (-16 + 6 + 9). Let l = -160 + g. Calculate l*b(a) - 6*p(a).\nAnswer: a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 2*f**3 - f**2 + f - 4. Let g(r) = 11*r**3 - 11*r**2 + 10*r - 25. Let q(w) = g(w) - 6*z(w). Determine q(-4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (-1 + 5 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(245) + 2*sqrt(245))*-2 + (-6*sqrt(245)*1 - sqrt(245)))**2 + (sqrt(2000)*1)\/((sqrt(216)\/sqrt(6))\/sqrt(9)).\nAnswer: -172*sqrt(5) + 41406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f + 5*m - 940, 0 = -3*f + 2*m + 549 + 133. Sort -5, f, -3 in decreasing order.\nAnswer: f, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -18 - 14*u**2 + 2*u + 28*u**2 - 13*u**2 + 15. Let a(o) be the second derivative of o**2\/2 + 2*o. Give 2*a(n) + t(n).\nAnswer: n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Is 741195 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/(-6)*(-63)\/14. Suppose -q + z*g + 42 = 0, 5*q + 5*g - 137 = -7. Is (-5)\/(q\/9)*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 minus -112064992.75?\nAnswer: 112064993.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-27*l + 27*l + 12*l**2)*(4 - 15 - 46) + 0 - 2*l**2 + 0 to r*l**2 + q*l + x and give r.\nAnswer: -686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -77 - -81. Find m such that h*m**5 + 20*m**2 - 10 + 12*m**3 + 4 - 10 - 32*m**3 - 4*m**4 + 16*m = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w**4\/9 - 32*w**3\/9 - 28*w**2\/3 + 32*w\/9 + 80\/9 = 0.\nAnswer: -2, -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 646\/1565 + -4\/313. Which is the third smallest value?  (a) 3  (b) -6  (c) 2  (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 31*p**3*q**4 - 4*p**3*q**3 - 2*p**3*q + 94*p**3 + 2*q**2 wrt q.\nAnswer: 372*p**3*q**2 - 24*p**3*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -12818*d**3*l**3 - 665*d**3*l*p**3 + 308*d**2*l**2*p + 3*d*l**3*p - 2*d*l*p**3 - 2*d*p**2 - 177*l**3*p**2 + 2*l*p**2 wrt d.\nAnswer: -76908*l**3 - 3990*l*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -3 - (-14493)\/(-72)*3. Let n = y + 1207\/2. Find the common denominator of n and 67\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z**3 + 5*z**2 + z - 2. Let u be y(5). Let p(w) = -3*w - 4. Let b be p(-5). Suppose -19 = -u*f + b. Solve 6*t + f = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -o - 0. Suppose 0 + o = -5*q. Is 1\/3 + (-116)\/q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 35265 by 7053.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 3\/8, -2, -0.4, -5666.\nAnswer: -5666, -2, -0.5, -0.4, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -2 + 1 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3145940 is divided by 1572693?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-5)\/1*(-170 + 171). Put i, 8, 43, -3, -2 in descending order.\nAnswer: 43, 8, -2, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.6 + 10.6. Let d = g - 38. Let a = -27.999996 - d. What is a rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -36373 and 0.4.\nAnswer: -14549.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-120)\/5)\/(((-426)\/(-355))\/(8\/(-10))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -32552*u**2 + 32541*u**2 + 0 - 30*u + 0 + 0 as k*u**2 + y + o*u and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11657*s - 2 + 11658*s + 2 - 23309*s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60*k = -56*k - 16. Let r(h) be the third derivative of 0*h + h**2 + 0 + 1\/8*h**k + 0*h**3. Let y(q) = -2*q**2. What is y(r(b))?\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -1021 - 1.9?\nAnswer: -1022.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2.38 - -198.38. Let a = 226 - x. Sort a, -1, -3\/11 in decreasing order.\nAnswer: a, -3\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3)\/27*57\/(-4). Let s = -4\/3 + g. Let m = 0.2 + 0.3. Which is the second biggest value?  (a) s  (b) -3  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z - 4 = 5*c - 10, 4*c + 4*z = 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(76)*6 + (2*-2*sqrt(76) - sqrt(76)))\/(((-2*sqrt(84) + sqrt(84))\/sqrt(7))\/sqrt(3)*-2).\nAnswer: -17*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.5385011 minutes to days.\nAnswer: 0.003151736875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-30)\/(-20))\/(3\/6))\/((-18)\/(-3)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 811*i = -1860*i - 151*i - 121346 for i.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j**3 - 6*j**2 - 8*j - 7. Let s(w) = -w**2 + w + 1. Suppose 2*b + m - 8 = -0*b, -b + 7 = 2*m. Let n be s(b). Does 4 divide z(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/3, -114419, 10 in descending order.\nAnswer: 10, 2\/3, -114419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the first derivative of -q**4\/4 - 2*q**3 + 2*q + 3. Let h be k(-6). Suppose -2*b - h*b = 4, -26 = -3*x + 5*b. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the first derivative of 0*z - 4\/3*z**3 + 3 - 3\/4*z**4 + 0*z**2. What is the third derivative of l(v) wrt v?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42373 is divided by 8467.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 2*j**2. Let q(r) be the first derivative of 0*r + 3\/2*r**2 - 3. Calculate q(w(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 270314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -254499616 minus 114?\nAnswer: -254499730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3, -4, 2, 6\/17, 0.3?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -3*d - 151. Let v(i) = 6*i + 362. Determine 9*s(j) + 5*v(j).\nAnswer: 3*j + 451","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kb when two letters picked without replacement from ttbtbnbkntunnn.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Are -16\/7 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3136*a + 1582*a + 1 + 1572*a - 1.\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1898702*n**3 + 1573124*n wrt n?\nAnswer: -11392212*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**21\/a)**(-1\/52)*a**(1\/7)*a**(8\/5) assuming a is positive.\nAnswer: a**(2437\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in y**2 + 2*y**2 - y**2 + 4*y**2.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 8271838, 8271844, 8271854, 8271868, 8271886, 8271908?\n\"Answer: 2*o**2 + 8271836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -110 + 159. Let y = g + -44. Solve -y*o - 17 = -3*q, -2*q + 4*o + 10 = 2*o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1\/1045039 + -28219126\/3211404847. Find the common denominator of 127\/140 and z.\nAnswer: 61460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6819, -37, 0, 74 in ascending order.\nAnswer: -6819, -37, 0, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.63 + -1.39. Let v = c + 1.26. Let j = -403\/5 + 80. What is the closest to -0.1 in 4, v, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**3 - 4*k**2 - 6*k + 7. Let c be i(5). Suppose 0 = -c*b - 3*b + 2170. What are the prime factors of b?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 302*g**3 - 1249*g**3 - 1295*g**3.\nAnswer: -2242*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Solve 7769*v - 11284 = 8133*v for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + (2 + -35 - (115 - 150))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4844516*i - 6767630.\nAnswer: 4844516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**2\/3 + 308*j\/3.\nAnswer: j*(j + 308)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -77144, -154288, -231432, -308576?\n\"Answer: -77144*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - 7*z + 16*z - 3*z + (-3*z - 3*z + 4*z)*(2 - 2 - 1) + (1 + 2 - 1)*(-3*z + 4*z + z).\nAnswer: 12*z + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -68, -1539, -1\/5.\nAnswer: -1539, -68, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g + 30. Let v be p(-10). Let t = 26 - v. Solve 4*f - 6 = t for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 7, s: 5, j: 1}. Give prob of picking 3 x.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 232 a factor of 24360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by -46\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/163?  (a) 5  (b) -3  (c) -7  (d) 19\/4  (e) -0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -174 - -8655365.\nAnswer: 8655191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the second derivative of -10\/3*k**3 + 10*k + 0*k**2 + 0. What are the prime factors of z(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -4*j. Let d(s) be the first derivative of -35*s**2\/2 + 39. Determine v(d(i)).\nAnswer: 140*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence an when two letters picked without replacement from {j: 2, g: 2, n: 2, a: 4}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 748505?\nAnswer: 5, 19, 7879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -519 in -4, -0.1, -0.5, -3.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 v when two letters picked without replacement from zzyyrvzrwviv.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 3661\/(-105) - (-4 - (-14)\/(-7)) - 4\/30\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the third derivative of f**9\/2016 - 3*f**8\/560 + 9*f**7\/560 + 6*f**3 + 9*f**2. Let v(y) be the first derivative of o(y). Factor v(r).\nAnswer: 3*r**3*(r - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f. Let t(r) = 14*r + 6671. What is d(t(u))?\nAnswer: -14*u - 6671","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12 - 10. Suppose -2*q = 5*o - 23, q + z*o = -o + 9. Suppose g = l + 2*g - q, 2*l = 2*g + 56. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 4*v = -1768 + 304, 2*z - 2*v - 716 = 0. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 112505 = -13*p + 8*p, 0 = 5*p - 4*i - 112505. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 5*h - 44. Calculate v(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - o = 9, -7*h + 27 = -3*h + 5*o. Calculate the lowest common multiple of 36\/(-5)*(45\/18)\/((-6)\/4) and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5806 times -0.5\nAnswer: -2903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -2*c - 14. Suppose 3*a + 23 - 2 = 0. Let x be t(a). Suppose x*p = 2*p + 2080000. What is p rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -5*m + 2*m + 5*j, -m = -5*j. Solve -5*x + 3*x = m*t + 18, 0 = 5*t - 3*x - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-8)\/24)\/(-1 + 2). What is the nearest to t in 2\/11, 8, 0.1, 3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*m - 57*n + 58*n - 46, -4*n = -29*m - 226 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.46 - 0.04. What is the biggest value in r, -2\/11, -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*y - 10 = 16*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 * -3459516.8.\nAnswer: -691903.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3377 - -3380. Solve 2*m - x = -m, -5*d + 29 = 4*m for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5 - 59. Let r = m + 121. What is the remainder when r is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(133)\/(-2*(sqrt(7) - sqrt(63))).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21892 = -1076*z - 490*z - 16459 + 71301 for z.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 13\/(-84) + 3\/12. Let a(u) = -8*u - 13. Let t be a(-4). Suppose 0 = -24*k + t*k - 5. Is k smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3679 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1289.9126 - -11503.91255. Let g = f - 10212. Let o = g + -2. What is o rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wn when two letters picked without replacement from nanjanaajnaannawjjav.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q**2 - 2*q**2 + 0*q**2 + (2 + 2 - 5)*(-4*q + 4*q - q**2) + 3578033 - 3578035 - q - 3128*q**2 + 11571*q**2)*(-3 + 2 + 3).\nAnswer: 16884*q**2 - 2*q - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -8924, 0.5, -4 in descending order.\nAnswer: 0.5, -2, -4, -8924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 21*z - z + 180 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/5 at most -34253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 9) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11 - -18. Let u be -1 + p - 4\/2. Solve -u = 2*d - 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yrsyy. Give prob of picking 1 y and 1 r.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wswtsjjtsts. What is prob of sequence wjjs?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6047.937 millennia to months.\nAnswer: 72575244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 9757 divided by 11\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.15 times 100.791?\nAnswer: 15.11865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -518 - 463 + 981 + 19*j**2.\nAnswer: 19*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 7260*c**3*f**3 - 13*f**3 + 40*f + 5 wrt c.\nAnswer: 21780*c**2*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i**3 - 20*i**2 + 8*i - 520. Calculate l(-21).\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**2 - 8*y + 11. Let u be o(2). Which is the closest to -2\/5?  (a) 2\/3  (b) 0  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0339397 rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -3*j - 1. What are the prime factors of t(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.5 and 0.0441948.\nAnswer: 0.0220974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1340 or 1339?\nAnswer: 1339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 + 7 = -3*l, 5*b + l + 10 = 0. What is the remainder when 66 is divided by (-70)\/b + (-17)\/51?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*f**3 - 7 - 2*f + 10 - 6 to the form o*f**2 + r*f + n*f**3 + c and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q**3 - 3*q**2 - 2*q - 2. Let i(h) = 7*h**3 - 9*h**2 - 12*h - 8. Determine -i(x) + 4*n(x).\nAnswer: -11*x**3 - 3*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*o + 4*o + o + (3 + 0 + 4)*(4 - 4 - o - o + 2*o + 2*o + (-4*o + 3*o - o)*(-2 + 0 + 1)).\nAnswer: 30*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1229*u - 1311*u - 820*u - 926*u.\nAnswer: -4286*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -44123123336 - 0?\nAnswer: -44123123336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2162971.\nAnswer: 2162971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 5040505 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 26\/32613 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (44\/(-8))\/(220\/(-80)). Solve 5*r = -m + u*m - 25, -7 = m + 3*r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2133 - -4?\nAnswer: 2141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 46*p + 0 - 47*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 1\/4, -0.02, -4\/7, -0.4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1ad7a3 (base 16) in base 13?\nAnswer: -497915","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -8*x**2 - 68*x + 416. Give v(5).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 39758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*g**2 + 1510*g - 1510*g.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*(1 + sqrt(700) + 3 - (sqrt(700)*-1 + -4 + sqrt(700) + sqrt(700) + sqrt(700))) + 4)*-2*-4 + 5)**2.\nAnswer: -333120*sqrt(7) + 1733209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 246+722.229\nAnswer: 968.229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dgyggdyy. What is prob of picking 1 d and 1 g?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/4 < 2349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -644, -709, -774, -839, -904?\nAnswer: -969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1304.7 - 1304.2. What is the second biggest value in 132\/7, 1, p, -1.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 a factor of 1489572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -23*y**3 + 11*y**2 - 14*y + 14. Let u(o) = 8*o**3 - 4*o**2 + 5*o - 5. What is 4*r(w) + 11*u(w)?\nAnswer: -4*w**3 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*y**3 - 1521*y**2 + 1521*y**2.\nAnswer: -14*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -3 + 6 + 66*b - 2 + 119*b. Is g(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 16 + -8. Let o = 11 - u. Suppose 0 = 5*x + 6*b - 8*b - 20, 28 = 4*x - 4*b. What is the nearest to x in o, -3\/5, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1879687 and 22662?\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a**2 - a + 13. Let h be 10\/(-8)*-4 - 5. Suppose -138 = -19*g - 4*g. Calculate the remainder when d(h) is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the first derivative of -u**6\/30 + u**4\/6 + 4*u + 4. Let h(w) be the first derivative of i(w). Find the third derivative of h(c) wrt c.\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19637*r**3 + 9764*r**3 + 9866*r**3.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 1 - 1)*(a + a - 5*a) + 8*a - 3*a + 5*a.\nAnswer: 25*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-686)\/(-70) - (-1 - 12\/(-15)). Suppose -5*f - 1775 = -a*f. What are the prime factors of f?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -4*s + 3*s + 2, x + 6 = 3*s. Suppose -6*n + 7*n + 10 = x. Is 25 a factor of n\/((-4)\/(-90)*-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(35)*-1)\/sqrt(7))**2 - (2 + sqrt(35)\/sqrt(7))**2.\nAnswer: -4*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes before 12:06 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -2*s**3 - 23*s**2 - 21*s + 20. Calculate r(-9).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 - -7210699182.5?\nAnswer: 7210699182.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (8 + 180\/(-23))\/2. Which is the biggest value?  (a) 5  (b) u  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3 + -103?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8*m**3*y**2*z**2 - 47*m**3*y**2*z - 10*m**2*y**2*z**2 + 3*m**2*y*z**2 + 3*m*y**2*z**2 + m*y**2*z wrt m.\nAnswer: 48*y**2*z**2 - 282*y**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p - 32 = -4*p. Let j = p - -17. Let g = j - 6. Calculate the greatest common divisor of g and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -406 - 636 - 6*r + r**2 + 144 + (-3 + 2*r + 3)*(-r + 0*r - r) - r**2 - 4 + 4 to the form k*r + j + y*r**2 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*i**2 - 5*i**2 - 10*i**2 - 10*i**2 + 33*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the first derivative of t**3\/3 - t**2\/2 + 6*t + 9. What is x(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -13 - -15. Let y(v) = v**2 + v**3 + c*v + 4 + 0 - 2 - 5*v**2. Determine y(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -24.1 - -16.53. Let f = -406.57 - m. What is the smallest value in 0.2, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:40 PM and 12:46 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-15)*c**(-2\/7)*c**(-13)*c\/(c*c*c\/c**(-9))*c)**(-2\/25) assuming c is positive.\nAnswer: c**(536\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(15)\/(6*sqrt(10)\/sqrt(2)) - ((-2*sqrt(27) - sqrt(27))\/sqrt(9) - 1*2*sqrt(3))).\nAnswer: -62*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8\/5*f**3 - 4\/5*f + 0*f**4 - 4\/5*f**5 + 0 + 0*f**2.\nAnswer: -4*f*(f - 1)**2*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -427, 75 in decreasing order.\nAnswer: 75, -1, -427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 15948, 31894, 47840, 63786, 79732, 95678?\n\"Answer: 15946*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -25066.\nAnswer: -1\/25066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-35*52\/(-910))\/59?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -47, 72, 1, 5 in decreasing order.\nAnswer: 72, 5, 1, -4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zbb when three letters picked without replacement from {b: 5, z: 2, x: 4}?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i, 1 r, and 1 a when three letters picked without replacement from {a: 1, w: 2, i: 2, r: 1, j: 1, l: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5192\/1652*70\/4*-8*(-4)\/(-40).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-40)\/(-360)*6)\/(146\/(-3)).\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - -6 - (4 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -593, -0.2, -6, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mkk. Give prob of picking 2 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/((z*z\/(z*z**13)*z)\/z*z))\/z)**(-21)*z**(2\/15)\/(z*z**(-1\/8)) assuming z is positive.\nAnswer: z**(-27809\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5119319 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s*s*s**(-7\/2)*s))\/s)**(-45) assuming s is positive.\nAnswer: s**(-45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 75c9 - 7?\nAnswer: 75c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4601 is divided by 4176.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -77, -78, -79, -80, -81, -82?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*j + 12 = 28*j. Let q(l) = 0*l**3 + l**3 + 5 - 8*l**2 + 9*l**2 - 2 + 2*l. Is q(j) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-four fifths of a kilogram in grams?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7401626 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 158*f**3*o**3 + 168*f**3*o**2 - 50*f**3*o - 2*f**2*o**2 - 6*f**2 - 30169*f*o**3 + 4*f*o - 2*o**3 + 2*o wrt f?\nAnswer: 948*o**3 + 1008*o**2 - 300*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 24971 - 24979. Which is the closest to -40?  (a) 2\/15  (b) z  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -2*g + 2. Let z(y) = -9*y + 39. Let t(x) = 6*p(x) - z(x). Let r(v) = 2*v**2. Determine t(r(j)).\nAnswer: -6*j**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 129422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 2*f**3 - 3*f + 2. Let v be x(2). Let i = 11 - 4. Let g = v - i. Calculate the remainder when 8 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 2*r - 3. Let a be v(2). Let g = 3 - a. Suppose -5*q = -g*c + 21, 2*c - q - 6 = c. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 6*h**2 + 7*h - 7. Let t(x) = x**2 + x - 1 + 3 - 3. Let d(z) = -2*l(z) + 14*t(z). Let s(b) = 12*b. Calculate d(s(r)).\nAnswer: 288*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 282885899.605 from 5.\nAnswer: -282885894.605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 30685 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2324 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -20120 - -221203?\nAnswer: 201023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*f + 58 = -32 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -4*z + 4*x, -42*x + 40*x = -4*z - 2. Solve -d = z*d + 2*f - 13, 5*f = -5*d + 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*d - 23*d = -12. Suppose -v - d*o = -59, -v - 3*v + o + 219 = 0. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the third derivative of -7*g**4\/12 - 2*g**3\/3 + 2*g**2 - 1385. Let o(t) = -15*t - 5. Give -6*h(q) + 5*o(q).\nAnswer: 9*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 5 - 19678*p - 24*p**2 + 39357*p - 19679*p.\nAnswer: -24*p**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7 + -9. Let a be (14\/(-4) - -3)*k. Let q(t) = 3*t - 1 + t**2 - a + 5. Give q(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the third derivative of -5*l**8\/168 + 2*l**7\/105 + 49*l**4\/24 - 7*l**2. Find the second derivative of q(k) wrt k.\nAnswer: -200*k**3 + 48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -3*d**2 - 500*d + 865. Give q(-168).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 3\/8 of a microsecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/10 + 119\/(-35). Let h(z) = -3*z - 1. Let n be h(s). Suppose -4*d + 4*k - 16 = 0, -2*k - n = 3*d - k. Does d = -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 8398162, 8398131, 8398080, 8398009, 8397918, 8397807?\n\"Answer: -10*s**2 - s + 8398173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 329 - (5 - 1) - -19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 16 - 40 = 0. Let s = -5337 + 5340. Solve -q*x + 6 = -s*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 866252.7 litres in millilitres?\nAnswer: 866252700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that 4*t**3 + 980*t**2 + 58748*t + 57772 = 0.\nAnswer: -143, -101, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 23*o + 2578. Let c be b(-112). Solve -c = -f + 2*y, -15*f + 10*f - y = 23 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -70*z - 62*z + 15*z + 13*z.\nAnswer: -104*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*f + 5 = -21*f. What is the remainder when 19 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 16155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9 minus 442330?\nAnswer: -442329.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3\/47 - -20\/423. Sort -0.3, a, -6, -1 in decreasing order.\nAnswer: a, -0.3, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m = -2*m. Is 14 a factor of 547 + -92 - (m\/(-2) - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j**5 + 2*j**4 + j**3 + 2*j + 1. Let y(p) = 55*p**3 + 7 + 14*p + 134*p**2 + 8*p**4 - 15 - p**5 + 78 + 138*p. Let z(t) = -6*x(t) - 3*y(t). Factor z(h).\nAnswer: -3*(h + 2)**3*(h + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -2 - 7*n**2 - 7*n + 4 + n**3 + 0. Let f be g(8). Suppose 2 + 8 = -5*r - b, 5*r - 2*b + f = 0. Which is bigger: r or -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -52*r - 153. What is j(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 2*i + 1 = 0, 3*i = -2*k + 4*k - 18. Suppose 3 = -k*d + 18. Which is the nearest to -0.1?  (a) -1\/3  (b) d  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 556200?\nAnswer: 2, 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(187) + sqrt(187) + 3*sqrt(187)*-1 + ((sqrt(187) + sqrt(187) + sqrt(187)*-2 + sqrt(187))*5 - sqrt(187) - sqrt(187)))\/(sqrt(110)\/(2*sqrt(10))*4).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 0 = -4*t. Let f be 5*(1 + -2) + t. Let w(n) = -8*n**2 + n - 7. Let c(l) = -9 - 7*l**2 - 2*l + 3 + 3*l. What is f*c(v) + 5*w(v)?\nAnswer: 2*v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, 5, 26, -35 in ascending order.\nAnswer: -35, 5, 16, 26","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 115\/1152 and 149\/12.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = j**2 + 8*j + 26. Let u = -83 + 75. Is h(u) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31878 + 31878 - 2*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*j**3\/4 - 3875*j**2\/2 - 918160*j - 137793920.\nAnswer: -5*(j + 368)**2*(j + 814)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7 + -4. Suppose 0 = 3*b - 2*j - 5, j + 3*j = -3*b - 1. Calculate the least common multiple of k and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -18 - -26. Let c = -45 - -77. Calculate the greatest common factor of t and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 1 + 1)*(6 - 6 + j + 4*j + 3*j - 4*j + (2 - 3 + 3)*(0*j + 0*j - j)) to k + f*j and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 144*x**2 + 7*x + 95. What is the remainder when m(-4) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 35 - 19. What is the greatest common factor of 40 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes before 12:53 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 26288855 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y - 3. Let i(b) = 2*b - 4. Let w(k) = 3*h(k) - 2*i(k). Let o be ((-4)\/5)\/(2\/10). Give w(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(2*-6*(-2*sqrt(343) + sqrt(343)))**2*5.\nAnswer: 246960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.3, -20, 2\/99, -0.4, 7\/6?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 7, i: 1}. Give prob of picking 1 i and 1 f.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 3.18, 0.5, -19?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -525 divided by 430177?\nAnswer: -525\/430177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18 and 123444?\nAnswer: 123444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 14476 and 396?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o + 23 = 3*o - 6*o + 5*i, 0 = -0*i + 4*i - 7 - 5 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 53612064?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = j - 5*a + 26, 76 = -7*j + 8*a - 2*a + 10 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -281029 - -521?\nAnswer: -280608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -19*o**2 + 4*o. Let x(g) = -g. Let s(h) = -u(h) - 5*x(h). Let m be s(-5). What is m rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**2 + 5*d + 3. Let h be a(-5). Let x = h + 1. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -3 + sqrt(11) - (sqrt(88)\/sqrt(8)*-3)**2.\nAnswer: -97 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -110 divided by -7425.\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 583577814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the first derivative of -5*k**3\/3 + 456. Let z(n) = -5*n**2 + 6. Let u(y) = 14*y**2 - 17. Let h(m) = -6*u(m) - 17*z(m). What is w(h(x))?\nAnswer: -5*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:53 PM and 9:28 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 4*m - 10. Let i be m\/6 - 6\/(-4). Suppose -i*k + 6*k - 12 = 0. Solve 6*s - 13 = -4*x + s, -k*x = 4*s - 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 24 + 5 = 0. Let q = -26 - b. What is the least common multiple of 14 and q?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 36 and 18873?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4340209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 + 1 = -7*k. What is the smallest value in -6, 4, k, 0.1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 328.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8495, 8479, 8449, 8399, 8323, 8215, 8069?\nAnswer: 7879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 928*d**2*o - 4*d**2 - 6*d*o - 46987*o wrt d.\nAnswer: 1856*d*o - 8*d - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8287686 and 3564?\nAnswer: 149178348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = k**2 + 2*k - 1. Let m be x(1). Let q = -6 - -8. Let v be (q - 4)\/(m\/(-4)). Solve -a - v = -0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 4*g = 35, -l - 3*g = -6*l. Suppose 4*d - 5*j - 9 = 0, 0 = -l*d + 3*j + 6. Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4265 - -4265.10935. Let w = m + -0.11. What is w rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nc when two letters picked without replacement from cnnncococoo.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -2 - ((-884)\/(-51) - 2\/6)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 2*j - 5*j. Suppose 0 = -2*i + 4*i - 4. Let w = j + i. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1216 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12862 + -12861.78314. Let u = n + -99.24686. Let y = 99 + u. Round y to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 31*v - 75. Let m(k) = 6*k - 15. Let s(a) = -2*b(a) + 11*m(a). Suppose -21*h + 50 = -16*h. What is the tens digit of s(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9495 (base 12) to base 16\nAnswer: 3f71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 15 = -0*l + 3*l, -3*l = -5*f - 27. Let y(v) = -v**3 + 0*v - v**2 - 5 + v - l. Give y(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000258993 to six dps.\nAnswer: -0.000259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -i - 2*d + 11, 6 = -2*i + 3*d - 7. Let o = i + -3. Let m(u) = -u + 5. Let f(t) = -6*t + 24. Let k(n) = -3*f(n) + 14*m(n). Calculate k(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 minus 95089653?\nAnswer: -95089653.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) + sqrt(11) + 0 + -3 - (sqrt(110) + sqrt(110) + 1*sqrt(110))\/sqrt(10))**2.\nAnswer: 6*sqrt(11) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**2\/5 - 2631016*b\/5 - 865280649032\/5.\nAnswer: -2*(b + 657754)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 74 + -72.6. Put w, 2\/19, 3\/2, 1 in descending order.\nAnswer: 3\/2, w, 1, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -426*r**5 - 2*r**4 + r + 965?\nAnswer: -8520*r**3 - 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (22\/(-77))\/((-9)\/(-7))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/3, 4, 0.003?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f**2 - 2*f - f**2 + 0*f + 8 + 3*f**2. Let d be z(-7). Suppose 3*n - 22 = d. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -2*a + 3. Suppose -6*d + d = -35. Let q be (-1)\/4*(-5 + 1). Suppose -q = s - d. Determine g(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58 a factor of 2209065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**2 + 16*m + 17. What is the lowest common multiple of 18 and q(-15)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 200202 (base 3) to base 8.\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35718*w + 35709*w - 107127*w + 35708*w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3*1\/(-3) - -2*2. Let a be d\/(-9 + 5 - 43\/(-10)). Let i be 6\/30 + 68\/a. Sort 0, i, 5, -5 in increasing order.\nAnswer: -5, 0, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -18.757 rounded to 0 dps?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 27\/245 and -3\/9604.\nAnswer: 48020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*k**6*x**2 + 137*k**3*x**2 + 388*k**2*x + 3*k*x**2 wrt k.\nAnswer: 240*k**3*x**2 + 822*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the second derivative of m**5\/20 - 5*m**4\/6 + 11*m**3\/6 - 9*m**2\/2 + 11*m. Let s be d(9). Let t(c) = -c**2 + 8*c + 12. Calculate t(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1395.05 to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 185595 - 121598. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 428 a factor of 57780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 100*g**2 - 4398*g - 89. Determine k(44).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*s**2 + 31*s**3 - 30*s**3 + s - s to v*s**3 + c + o*s + w*s**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*h + 27*h + 24*h + 2*h**2 + 10251 - 10246 in the form t*h**2 + y + a*h and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0218 * -37830.1.\nAnswer: -824.69618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 - -3. Let y = -0.059 + 0.259. Let f = 0.1 + y. What is the biggest value in l, -4, f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 9\/8, 21, 6424?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes before 7:29 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -28*v - 8. Determine l(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 2*r**2 - 29*r - 417. What is u(0)?\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the third derivative of -z**6\/200 + 7*z**5\/50 + 69*z**4\/40 + 27*z**3\/5 + 1416*z**2. Find l such that r(l) = 0.\nAnswer: -3, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 26\/149025 and 17\/381504?\nAnswer: 9537600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**3 + 24*l**2 + 90*l + 186. Calculate i(-20).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/4  (b) -5\/4  (c) -0.8  (d) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qaf when three letters picked without replacement from aalaaaqfaaqlaa.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 420055, 840117, 1260179, 1680241, 2100303?\n\"Answer: 420062*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -31562 divided by 4\nAnswer: -15781\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -38 + 40. Let i be 32\/(-6) + (-2)\/(-6). Let s(w) = w**3 + 4*w**2 - 5*w + 2. Let u be s(i). Are u and n unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 16*h - 1. Let l(k) = k. Let f(a) = 4*l(a) - q(a). Calculate the remainder when 51 is divided by f(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r = -1313 + 29. Let q = -201 + r. What is the remainder when q is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1187976?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7689 and 264?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 560850.2 weeks to hours.\nAnswer: 94222833.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 568*q + 405 + 1867 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5347068 by 6.\nAnswer: 891178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -33, 12, -3.\nAnswer: -33, -3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3963*h**2 - 31*h + 1984*h**2 + 1977*h**2 + 31*h.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 1407749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: -3912 divided by -4\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79*d + 21816 = 281*d. Suppose 272 = -3*y - 5*k, 310 = -3*y + 2*k + 66. Let s = d + y. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 * 170\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -3*c**2. Let v(j) = j**3 + 15*j**2 + 5*j + 25. Let m be v(-14). Let t(w) = 11*w + 151 - m. Determine t(s(g)).\nAnswer: -33*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 8\/32 + (119\/(-4))\/(-1). Suppose 1476 = 34*n - y*n. Suppose 0*i = -9*i + n. What are the prime factors of i?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 340*v**2 - 2*v**3 - 33 + 266*v**2 - 130*v**2 + 33 - 28322*v.\nAnswer: -2*v*(v - 119)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8139 and 57?\nAnswer: 154641","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1689 is divided by 130.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*h + h + 4*h + (3 - 4 + 0)*(5*h + 0*h - 2*h - h - h + h + (-3*h + 3*h - h)*(-1 - 2 + 5) + 4*h - 5*h + 3*h - 5 + 5 - h) - 18*h + 222 - 222.\nAnswer: -17*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -16 + 20. Suppose 8*h - n*h - 8 = 0. Solve -4 = -h*z + z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*n**3 + 9855*n**2 + 19730*n.\nAnswer: -5*n*(n - 1973)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -6*w - 3. Suppose -3*h - 3*d + 4*d = -13, -5*d - 25 = -5*h. Let j(o) = -6*o - 4 - 1 + 4*o - 9*o. Give h*j(x) - 7*c(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.065 and 1.3.\nAnswer: 0.0845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 30*p + 196. Let r be b(-6). Let y(m) = -m**3 - 4*m**2 - 5. Let l be y(-4). Let q = r + l. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44 = -5*h - 4*v, -2*h = -h - 4*v + 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.2 times -2525?\nAnswer: -3030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.7 + -39.3. Let w = s - -52.25. Let u = w - 14. Round u to 1 dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -864, -1216, -1568, -1920, -2272?\n\"Answer: -352*h - 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1601849?\nAnswer: 1601849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 0*g**3 - 7*g**2 + 3*g**3 + g - 4*g**3 - 2*g. Let m be a(-9). Calculate the highest common factor of 19 and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6.02 + 283.02. Let w = g - 277.298. Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -33 - -44. Suppose -7*p - 4*p = -u. Let w = -0.5 - -0.9. Which is the nearest to p?  (a) w  (b) -5  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 16*t - 793 = 13*t, 2*k - 2*t + 314 = 0. Let p = -151 - k. Solve 5 = -m + p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.514 + -0.114. Let u = -3 - 2. What is the second smallest value in 2\/3, u, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -2*z**2 - 16*z - 15. Determine p(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minus 64827.23?\nAnswer: -64825.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that -a**4\/3 - 169*a**3\/3 - 2566*a**2\/3 + 912*a = 0.\nAnswer: -152, -18, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*u - 2*u - 3*u)*(-1403*u + 553*u + 671*u) - 5*u + 3*u**2 + 5*u as d*u + c + r*u**2 and give r.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k**3 - 35*k**2 + 46*k + 137. Does 69 divide a(-37)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 697343 and 172549.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6 and 917454?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 290 is divided by 30?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -197\/180120 and -107\/6160.\nAnswer: 27738480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 52608 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3366 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: Let g = -0.28 + -4.72. Let y = 40 - 38. Which is the nearest to -2?  (a) -2  (b) g  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w + 4*w - 3*w)*(-4 + 3 - 1)*(-6 + 1 + 4).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -14, 10, 34, 58?\n\"Answer: 24*z - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the third derivative of u**7\/420 - 2*u**6\/15 + 29*u**5\/40 + u**4\/12 - 29*u**3\/3 - 4454*u**2. What is v in y(v) = 0?\nAnswer: -1, 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 8 = -4. Let n = c + 8. Suppose -n*q = -8 - 4. What is the biggest value in -0.1, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 131\/5530 and -157\/252.\nAnswer: 99540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -25766*g - 3068. Is n(-2) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -99\/10958 and -85\/1698.\nAnswer: 9303342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 161 = 2*q + q, o - 4*q + 24 = 0. Let w = o + 903. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -23*j - 20 - 26 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the third derivative of 41*m**5\/60 + 3*m**3 + 7*m**2. What is the first derivative of q(n) wrt n?\nAnswer: 82*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes before 6:10 PM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -25*u - 28*u + 422*u**2 + 311*u**2 - 224*u**2 + 52*u as m + d*u**2 + b*u and give d.\nAnswer: 509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -74*y + 78*y + 5*z = 830, 2*y - 416 = -2*z. Calculate the smallest common multiple of 630 and y.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -113 - 78*f**2 + 56*f**2 + 54 + 59.\nAnswer: -22*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 360556?\nAnswer: 2, 7, 79, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -165 - 4*p + 321 - 249*p**4 - p + 3*p wrt p?\nAnswer: -2988*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m**3 - 12*m**2 - 27*m - 9. What is b(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 13408244 times 0.22\nAnswer: 2949813.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9\/1217 + 1018557\/9736. Let p = -2321\/24 + y. Calculate the common denominator of -87\/20 and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 243 is divided by 118.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/5 and 59\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -a5c7 - -5bd?\nAnswer: -a00a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -20656 + 10324 - 8505*k**2 + 10332 to x + s*k**2 + l*k and give s.\nAnswer: -8505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 88\/5 of a gram in milligrams?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 1\/3  (b) -3  (c) 0.22  (d) 5  (e) -20\/57  (f) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 + 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.3399 - -0.0571. Let i = h + 130.503. Round i to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 544 and 1394?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -3 + 5 + 4*r + r - 3. Suppose 2*l = -2*l + 4. Let v be m(l). Solve 6*n - 2*n = 2*d + 10, -d - 5 = v*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 6\/5 of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1879 - 1847. Is p less than 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 141245199?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -64869 or -64861?\nAnswer: -64861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**3 + 65*d**2 - 4639*d + 212. What is w(-108)?\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 158 = 1098. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 408\/(-17)*(6*8\/(-504))\/((-116)\/(-1421)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 + 0 + -1 + -96 + 117?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -18 + -15 - (6 - (10 - 2 - 7))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3.777 - -0.777. Let v = -0.2 - -0.3. Let x = v + -0.1. Which is the nearest to x?  (a) o  (b) -0.2  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 9\/(-3)*140\/(-21). Solve -3371*d + 3366*d = h for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*u - 8*u - u.\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*o + 8*o - 2*o**2 - 3*o + 3*o**2 - o**3 - 1 to the form p*o + w*o**3 + s + m*o**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + -2 + 2867\/(-427).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 11*n**3 - 6*n. Let o(c) be the first derivative of 11*c**4\/4 - 5*c**2\/2 + 6947. Give -6*a(i) + 7*o(i).\nAnswer: 11*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1022531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5 + -3. Let p(f) be the second derivative of -f**4\/12 - 3*f**3\/2 + 2*f**2 + f. Let g be p(-9). Is c bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*m + 17*m + 469 = -4*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -52.27 + -0.73. Let p = 0.05 + -58.05. Let y = p - f. What is the nearest to y in 5\/2, -0.1, 4\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25690?\nAnswer: 2, 5, 7, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 34782 and 92752.\nAnswer: 278256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 40*(-42)\/(-2170)*4\/48?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3 + -8250418?\nAnswer: -8250420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-393)\/(-17) - (-52)\/(-442). Let l(d) = -5*d + 7. Let t be l(-9). Let r = t - f. Calculate the remainder when r is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -111010 (base 3) in base 2?\nAnswer: -101100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -46\nAnswer: 5\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.019 and -72491366.\nAnswer: -72491365.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5 + -2. Let z(w) = -w - 7. Let s be z(-7). Solve -3*l + 0*l + k = s for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the second derivative of 7*t**3\/6 - 5*t**2 + 23*t. What is the first derivative of y(x) wrt x?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10111100 - -11010100010110?\nAnswer: 11010001011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 + -1 - (-299 - -2)) + -2. Let o = 643 - a. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - (1 + 1)) + (28 - 21).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/57 and -53\/7827?\nAnswer: 148713","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 8*r - 6*r. Suppose -2*z + 20258 = -r*o, -o - 7379 = -2*z + 12885. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*c = -18*c + 52. Let o be 2*(-11)\/6*3. Let g = o + c. Solve -3*n = -2*y - 11, 11 = -g*n - 5*y + 31 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes after 7:36 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 113, 228, 341, 452, 561, 668?\nAnswer: 773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -10*(8\/10)\/(-4). Suppose 5*p = d*f + 94, 51 + 38 = 4*p + 3*f. Solve -4*h = -r + 3*r - p, 5*r + 5*h = 25 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 17 + -10 + (-8 - -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:07 PM and 7:32 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 53*y**2 - 7. Let a(s) = 26*s**2 - 3. Let d(o) = -7*a(o) + 3*i(o). Let u(t) = -2*t**2. Calculate d(u(h)).\nAnswer: -92*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 6 (base 13) to base 4\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**2 - 8. Let o be 1*((9 - 7) + 8\/(-1)). Let n be (5 + o + (0 - -2))*40. Let f(y) = 1. Calculate n*f(l) + 5*h(l).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**18\/z*z**(-12) assuming z is positive.\nAnswer: z**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 60*l**3*o - 3921*l**2*o + 112*l*o + 719*l wrt l.\nAnswer: 360*l*o - 7842*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-18)\/(-8)*(69 - 4\/4) is divided by 77?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/6 and (4\/(-6))\/((-112)\/(-1356) + 0).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 557212987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/3 + 21\/9. Suppose 0*k - 2*k + 14 = -2*y, -x*k + y + 11 = 0. What is the third derivative of -t**6 + 3*t**k + 3*t**6 - t**2 wrt t?\nAnswer: 240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2607205*h*j**3 + 84294*h*j - 2*j**3 + 5*j**2 wrt j.\nAnswer: -15643230*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 + 4 - 4)*(3 + 2 - 4) + 4 - 3 - 4)*(4*h + 10*h + h)*(-232 - 51*h + 232).\nAnswer: 1530*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes after 1:56 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -4*v - 2*o, -v - 4*o = 2*v - 21. Let h be (v\/(-5))\/(7\/35). Suppose 5*d + 4 = 19. Sort d, h, -1 in descending order.\nAnswer: d, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 64 + 24. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((b*b*b**(1\/10))\/b)\/b)**(-9\/2))**(1\/24) assuming b is positive.\nAnswer: b**(-3\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27436246?\nAnswer: 2, 71, 101, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 32358 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 217 + -222. Let h = -1.9 - -0.6. Let g = h - 0.7. What is the smallest value in g, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/1110 and 25\/38.\nAnswer: 21090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 10*p - 88. Let d be c(16). What is the highest common divisor of d and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 1, 0, 9\/11, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 3*h = 0, 2 = -2*a - h - 5. Let x(z) = -z. Let v be 1 + 4 - 2*1. Let w be x(v). Is w bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 690579875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Are 1307 and 1306 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**2 + 5*s - 81. Let u be f(-11). Let y be (-25)\/(-15)*-2*(-36)\/u. Let k(j) = j - 5 + 4 - 2*j. What is k(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1 and 363.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/306)\/((3\/15)\/((-12)\/(-20)))?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 137.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 75*(72\/(-54) + (-2)\/(-6)). Let q = -137 - b. Let m = 68 + q. Let z(o) = o - 3. Determine z(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 497 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 130 - 16\/(-12)*-3. Calculate the highest common factor of w and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2509, 2026, 715, -1838, -6047, -12326, -21089, -32750?\nAnswer: -47723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -1507*p + 313. Does 6 divide k(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -28\/9 and -103\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 6562 divided by -2258?\nAnswer: -3281\/1129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (432\/648)\/(2\/12). Factor 0 - 2\/13*u**3 + 2\/13*u**5 + 0*u**c + 0*u + 0*u**2.\nAnswer: 2*u**3*(u - 1)*(u + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 948660.8ml in litres?\nAnswer: 948.6608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = -x - 2*x + 4, -4*x = 0. Differentiate -5*p**4 - 15*p**t - 15 + 5*p**4 with respect to p.\nAnswer: -60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1001\/78 + (-1)\/(-6). Let u = l + -5. Calculate the greatest common divisor of u and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c**5\/6 + 19*c**4\/3 - 1523*c**3\/6 + 4694*c**2\/3 + 11746*c\/3 + 6272\/3 = 0. What is c?\nAnswer: -64, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 3, v: 8, x: 1, l: 3, z: 1, y: 2}. What is prob of picking 2 y and 1 j?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 3*u - 102 = 3*k, -k - 35 = 4*u. Let j = k + 30. Suppose 96000020 = -5*l + 4*o, -76799980 = 4*l + j*o + o. Round l to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2.8 in -0.024, -4\/5, -2?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 24395665909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 620159001 to the nearest integer?\nAnswer: 24903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -10*p**2 - 43*p - 18. Give a(-8).\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*r - 1 + 13*r**2 + 0*r + 2*r as m + k*r**2 + g*r and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 25, 0, -60 in descending order.\nAnswer: 25, 2, 0, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2308 and 38.123?\nAnswer: 87987.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 409.3207 tonnes in milligrams?\nAnswer: 409320700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 37 and 58?\nAnswer: 2146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 255530 rounded to the nearest one thousand?\nAnswer: 256000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4794593 = -4*o - 5*k, -3*o + 4488209 = 3*k + 892259. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7?  (a) 0  (b) -6\/671  (c) 0.4  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 19\/(-1*(2 + -4) + -1). Is 21 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2208\/368)\/(7\/((-182)\/(-12)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 21487922 to the power of 1\/2, to the nearest integer?\nAnswer: 4636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 148980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -2*j**2 - 861*j + 18026. Give s(20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16785 - 41599*d**2 - 16785.\nAnswer: -41599*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6*(45\/10 - 4). Suppose -3\/5*u**w + 3\/5*u**2 + 3\/5*u - 3\/5*u**4 + 0 = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**3\/3 - 250444*f**2\/3 + 83482*f.\nAnswer: -2*f*(f - 1)*(f + 125223)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(-9)*-8*(-9)\/(-96)*8\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 4*u = -32, -2*s - 1 = -u - 2. Suppose 5*j + 4*t - 2076 = t, -s*t - 843 = -2*j. Is 27 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/(-360)*20*3*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 times 117?\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the first derivative of f**6\/12 - 6*f**5\/5 + 15*f**4\/4 - 14*f**3\/3 + 9*f**2\/4 - 457. Factor j(g).\nAnswer: g*(g - 9)*(g - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (0 + 1 + 3)\/(-2) - -1203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 232730627*b**2 - 451120622 wrt b?\nAnswer: 465461254*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.5, -4.9, -0.08, -0.3, 0.078, 0.06, -2\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.3 - -6.4. Let x = -2.1 + p. What is the nearest to 0.1 in 0, x, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -5 - (-9 - (-2 + 1))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -72 - -67. Which is the second biggest value?  (a) 1.1  (b) h  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 3, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**3 - 19*k**2 + 17*k - 527. Let u be n(-21). Which is smaller: u or -905?\nAnswer: -905","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -142285, -142287, -142289, -142291, -142293, -142295?\n\"Answer: -2*v - 142283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-1)\/(3\/(-3)))\/(-75). Let z = 229\/300 + g. What is the common denominator of z and 2 + ((-141)\/(-27) - 2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**3 - s**2 - 2*s + 712455. Let z be u(0). Suppose -3*c = -z - 97545. Round c to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = -2*c + 33367, -5*c + 29*v - 32*v + 83433 = 0. What is the thousands digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 1097 - 39 = 4*x, 0 = 5*t - 25. Let i = x - 186. Is i\/2*10\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h*h**6)*h**6)**(25\/3) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3 - -2)\/1*-2. Suppose 5*l = i*l. Suppose x - 8 = -l. Calculate the smallest common multiple of x and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 202173?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n + 3*n. Suppose 2*o + 3*i - 805 = n, -5*i + 2000 = 2*o + 3*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -130.968224 rounded to 1 decimal place?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1*-4 + (-116)\/(-1). Let w = -54 + h. Let l = -56 + w. Solve -2*z = -0*z + 2*b - l, 0 = z - 3*b + 19 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the third derivative of 15*a**4\/4 - 29*a**3\/3 - 8*a**2. What is the first derivative of o(c) wrt c?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -126 + 133. Let w be (j\/(42\/(-4)))\/(0 + -2). Factor 2\/3 + w*q**2 + q.\nAnswer: (q + 1)*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -234.7 + 224.37. Let y = i - -10.34323. What is y rounded to 3 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 2*b - 8. Let a be u(6). Suppose -f - 5*c - 1 = 3, -a*f - 2*c = 16. Is -8 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(768) - sqrt(768)*2) + -3)**2 + (sqrt(96)\/sqrt(2) + 1 + sqrt(48) - -6*((sqrt(48) + -2)**2 - sqrt(48))).\nAnswer: -16*sqrt(3) + 1090","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1486*g**3 - 843*g**3 - 616*g**3.\nAnswer: 27*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*f - 2*f - 7*f in the form r + o*f and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gbbbbgzzb. What is prob of sequence bgg?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 8131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -556*i**2 - 2783*i. Calculate q(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h. Let w(y) be the third derivative of 7*y**5\/60 + 5*y**3\/3 - 118*y**2 - 3. Calculate t(w(l)).\nAnswer: -7*l**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -42578389390 to the nearest one million.\nAnswer: -42578000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-4)\/2)\/(16\/152). Let d = -13 - t. Which is greater: d or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l**2 - 6*l + 6. Let j be x(6). Suppose j*u = u - 20. Which is the closest to -3?  (a) -0.1  (b) 5  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (8\/(-18))\/((-4)\/18). Suppose -3*j + 4 = j. Solve j + d = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (380\/80)\/((-1)\/(-4)). Suppose 13 = 2*r - l + 2*l, 2*r - l - v = 0. Let a = -77 + r. Round a to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + sqrt(612)*2 + (1*sqrt(187) + sqrt(187) + sqrt(187) + sqrt(187))\/sqrt(11) + 3.\nAnswer: 8 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3644 and 125636921?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ertdj. What is prob of sequence jdt?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8 or -0.95?\nAnswer: -0.95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 2 = -2*i + 7, 14 = 3*i - 2*c. Suppose -i*y + 5*q + 93 = 0, y - 3*q - 100 = -4*y. Does 17 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -47 - -50. What is the second derivative of 23*a**n - 6*a + 5*a**2 - a**2 - 4*a**2 wrt a?\nAnswer: 138*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 8*r = 4*g, 4*r - 16 = 0. Let v be (2 + g)\/2 - -1. Let q = -7 + 13. Solve -t + 4*k = 2*k - q, v = -4*t + 4*k + 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -58a69b (base 14) to base 2\nAnswer: -1011100010100100110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the first derivative of 1\/5*q**2 + 6 + 1\/10*q**4 + 3\/5*q - 7\/15*q**3. Factor c(b).\nAnswer: (b - 3)*(b - 1)*(2*b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -13156\/3 - -4080. Let j = x - -306. Factor -1\/3*v**3 + 1\/3*v**4 - j - v**2 + 5\/3*v.\nAnswer: (v - 1)**3*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(847) + sqrt(847))*5 + 4 + 3 - (4 + 2*sqrt(847) + (sqrt(847) + -1 - sqrt(847))*-6)*3)**2.\nAnswer: -1584*sqrt(7) + 13876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n\/((n*(n\/n**(-1\/2))\/n)\/n))**(-14\/5))**48)**(-4\/25) assuming n is positive.\nAnswer: n**(1344\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.19 - -1.1. Let m = 4.91 - z. Let i = -32 + 28. Which is the nearest to 1?  (a) i  (b) 4  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4387760.6 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ugg when three letters picked without replacement from {g: 17, u: 2}?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 144347742.\nAnswer: 2, 3, 7, 11, 104147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -23640\/113  (b) 6\/11  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1633909.86ns in days?\nAnswer: 0.00000001891099375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*p + 17*p - 24. Solve p*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 2, q: 1, s: 2, y: 1, z: 1}. What is prob of sequence aqz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 376330, 752655, 1128980, 1505305?\n\"Answer: 376325*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 - -14 - 22) + 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -8.8 - -3.4.\nAnswer: -5.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -25 + 26. Let y(r) = 6*r**2 - 3*r + 2. Let x be y(t). Find the third derivative of -25*f**2 + 16*f**5 - 2*f**5 - f**5 + 14*f**x wrt f.\nAnswer: 1620*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-10365)\/2*(-4)\/(-3). Round z to the nearest 100.\nAnswer: -6900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/3 - 15\/(-9). Factor h**3 - 43*h - 2*h**u + 43*h.\nAnswer: h**2*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*i + 235 + 17. What is the greatest common factor of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-19 - -10 - (2 + -7)) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -22, -24, 0, 322, -5 in ascending order.\nAnswer: -24, -22, -5, 0, 3, 322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = -4*q - 956, 3*i = 2*q - 6*q + 724. Let m = -70 + i. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(720) - sqrt(720)*5*6)**2.\nAnswer: 2422080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 10055484949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 111*k + 165 = 126*k for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a + 4*g + g - 148, -5*g = -2*a + 44. Suppose 0 = a*c - 22*c + 50. What is the third biggest value in c, -3\/7, -0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k = -13*d - 43, 0 = -212*k + 208*k + 5*d + 32 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*g**4*w**2 + 190*g**3*w**2 - 6*g*w**2 + 37*w**2 wrt g.\nAnswer: 36*g**2*w**2 + 1140*g*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of (-6)\/12 - 213\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 10 + -230?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 2*m**2 - 83*m + 753. What is l(28)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42 = -5*r - 4*a, -28*r - 4*a + 38 = -56*r + 31*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8431?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 1129 = 2*k - 614, 1146 = 2*m - 4*k. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.414309 * -38.\nAnswer: -15.743742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 683604067 to the nearest integer?\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + 13 + 4 + -7 + -10 + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.09 + 0.19. What is the nearest to h in 0, 3\/4, 1\/34?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes before 10:44 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -10380837.4 to the nearest 1000.\nAnswer: -10381000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 2*t - 2. Let x(n) = n - 1. What is -8*x(w) + 3*z(w)?\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:50 PM and 6:37 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -18878*d**3*n**6 + 267*d**3*n**3 - 2*d**3*n**2 + 12*d*n - 13*n - 292 wrt n?\nAnswer: -2265360*d**3*n**3 + 1602*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*t + 8612 = 8570. Solve g + 0 = 5*m - 5, -2 = -t*g - 2*m for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 762, 1977, 3648, 5775, 8358, 11397, 14892?\n\"Answer: 228*n**2 + 531*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**3 + 5*z**2 + 8*z - 7. Let p be u(6). Suppose -815 = -p*b - w, -5*b - 2*w = -3*b - 318. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b**4 + 1 + b**3 + 0*b**3 + 0*b**3)*(5 + 1 - 4).\nAnswer: 2*b**4 + 2*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*b + b = 5*b - 806. What is the remainder when 556 is divided by b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53805805138139 less than 0?\nAnswer: -53805805138139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Are -1\/77 and -10495 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 4*t**2 - 18*t + 15. Let m be z(7). Let d be (6 + 0)*64\/3. Let f = d - m. What are the prime factors of f?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 8877 = 5*k, -3*k = 19*n - 24*n + 11124. Suppose -v - n = 8*v. Which is smaller: -246 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i = -3*f - 12, -649*i = -651*i + 2*f for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1578, -8531, -15484, -22437, -29390, -36343?\n\"Answer: -6953*v + 5375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.423211 to 2 decimal places.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*-3611154.\nAnswer: 361115.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -76 + 14. Let l = 96 + d. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -10 - -6. Let i = d + 4. Let m = 2142\/5 + -429. Sort i, 0.4, m in descending order.\nAnswer: 0.4, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -g - 3*g. Suppose y - 4*y - 2*p - g = 0, 5*p = -5*y - 20. What is the derivative of -i + 1 + 0 + y wrt i?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 90800 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -627*w + 6495 - 3975 = 551*w - 11616. Suppose 0*f - 5*f + 15 = 0. Solve -f*v - w + 15 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 - 4) + -3 - (13 - 14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the third derivative of -3*r**4\/4 - r**3\/3 + 20*r**2. Let p be z(-1). What is the common denominator of -47\/12 and 6\/p*(-4760)\/(-294)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3193 + 1658172.70594\nAnswer: 1658172.38664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3 + 6)\/((-39)\/(-52)). Let k(v) be the first derivative of 4 + 1\/5*v**5 - 2*v**2 + 0*v**3 + 0*v + 0*v**d. What is the second derivative of k(r) wrt r?\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f - f + 1609 = 3*j, 0 = -2*f - 10. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 72.47 - 73. Let o = 23.47 - w. Let d = -23.9896 + o. What is d rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w + 134 - 39 = -25*g, 45 = -3*g + 30 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Total of -194241442 and -0.1838.\nAnswer: -194241442.1838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1\/3 or -2681\/16?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kakyay. What is prob of sequence yka?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38*n**3 - 7*n**3 + 372 + 7*n**3 - 384.\nAnswer: -38*n**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31 - 31 + 124794*g**3.\nAnswer: 124794*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 3*m. Let r(a) = -27560*a + 2. What is i(r(u))?\nAnswer: -82680*u + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a - 8. Let j be 88\/(-572) - (-37)\/(-13). Let m(q) = -q + 1. Give j*m(t) - f(t).\nAnswer: 2*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*c**2*f**3*v + 17215249*c**2*v - 3*c*f**3 - 8*c*f**2 + c*f*v + 4*f**3*v - f**3 - f**2 - 182*f*v wrt c.\nAnswer: 8*f**3*v + 34430498*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.2806274 to three dps.\nAnswer: 0.281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 97779*k**4 + 8*k**3 - 97854*k**4 - 3096 + 787 wrt k?\nAnswer: -300*k**3 + 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 343*r = 351*r - 14648. List the prime factors of r.\nAnswer: 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/(2\/3*1). Solve -b = h*b - 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7104 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2 + -2 - 1 - -5. Suppose -6 + w = -k. Suppose 2*f - 2*f - f**k + 0*f**2 - f**3 = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 21*h**4 - 2267*h**3 - h**2 + 23*h + 401301 wrt h?\nAnswer: 504*h - 13602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 3*p - 2. Let i(x) = 2*x - 1. Let v(j) = 7*i(j) - 5*m(j). Let n be (-2)\/16 - (-2)\/16. What is the units digit of v(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*r**2*v**2 + 949*r**2*v + 385*r**2 + 3*r*v**2 - 1884*r*v + 18*r + 2*v**2 + 2 wrt r.\nAnswer: 4*v**2 + 1898*v + 770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that o**3 - 5409*o**2 + 7129752*o + 502275148 = 0.\nAnswer: -67, 2738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 12\/2*12\/18. Suppose -m*b = 3*b. Suppose 3*k - 3*o - 4665 = 0, 2*k - 3102 = -b*k + 4*o. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -109*m + 0*m**3 + m**3 + m**4 - 438*m**2 + 437*m**2 to l*m + j*m**2 + i + c*m**4 + a*m**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 33033?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -9, -45, -113, -219, -369?\n\"Answer: -a**3 - 10*a**2 + a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/3 + (-5)\/3. Let k = 93 - 89. Which is the third smallest value?  (a) s  (b) k  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*d + 2*d - 84. Let i = d + 49. Let m = 126 + 154. Calculate the highest common divisor of m and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62 = 12*i - 34 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -13231023003022 + -3?\nAnswer: -13231023003031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-18) - (-47)\/9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**3\/15 - 13338122*a**2\/15.\nAnswer: 2*a**2*(a - 6669061)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000296994 to seven dps.\nAnswer: 0.0000297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-59 + 56 - 52)*(4*t + t - 3*t).\nAnswer: -110*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 3*z + 2*f - 27, 3*z - 4*f = -4. Suppose 0 = -4*c - z*c + 776. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 12042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 4552234, 18208929, 40970088, 72835711?\n\"Answer: 4552232*d**2 - d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 785.0273 millilitres?\nAnswer: 0.7850273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q + 9 = 0, -4*v - 1914 = 5*q - 1921 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -1.18*-0.0465354\nAnswer: 0.054911772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*s + 4*h + 836, -1252 = -0*s - 3*s + 4*h. Let f = s - 252. Calculate the highest common factor of 41 and f.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.009799 rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -821, -2563, -5455, -9497, -14689, -21031?\n\"Answer: -575*i**2 - 17*i - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 642.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1703132?\nAnswer: 2, 425783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*p**2 + 161464*p + 968928.\nAnswer: -4*(p - 40372)*(p + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h**3 - 7*h**2 + 11*h - 13. What is the remainder when c(6) is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*f - 5*d + 60, -23*f + 18*f - 51 = 4*d for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -5*q - 2. Let b(k) = -2*k**2 - 51*k - 23. Let u be b(-25). Suppose u*m = -2*s + 14, 25 = 10*m - 7*m + 4*s. Give f(m).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 2*j**2 + 5*j - 5. Suppose -5*m + 66 = -154. Calculate the least common multiple of i(-5) and m.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 3447, 2971, 2495?\n\"Answer: -476*l + 3923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**3 + 6*z**2 - 7*z + 6. Let t be u(4). Suppose -2*p + t = 3*p. Suppose -p*a + a + 17 = 0. Does 17 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 297 and 1067.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -38 - 48\/(-396)*(-143)\/65*-30?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y**2 + 5*y + 5. Let r be d(-5). Suppose -2 = -x - x + 2*l, -29 = 3*x + r*l. Suppose -5*m - 4 = -3*m. Sort 1, x, m.\nAnswer: x, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g = -5*m - 5, 2*g + 0*g = 3*m + 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7*g**2 + 7*g**2 - 10*g**3)*(-1 + 1 - 1) as r + v*g**3 + w*g + i*g**2 and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the first derivative of 0*y + 10 - 3\/4*y**4 + y**3 - 3\/5*y**5 + 3\/2*y**2. Let s(g) = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8215951543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-3)*i**(1\/5))\/(i\/(i\/i**(2\/7)))**(-2\/203))\/((((i\/((i**(-1\/12)\/i)\/i))\/i*i)\/(i**(-2\/9)\/i))\/(i**0\/i**(-3))) assuming i is positive.\nAnswer: i**(-1049399\/255780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2974645840 to the nearest integer?\nAnswer: 1438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -2371.5 to the nearest 10.\nAnswer: -2370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -13526*q - 2. Let m(f) = 26*f. Give a(m(j)).\nAnswer: -351676*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/9 in 1, -383, 79, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 times 0.22?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - (0 - (-2 - (1 - 5)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9 - -19)*(-12)\/(-600).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the third derivative of o**5\/30 + 25*o**2 - o. Let m(j) = -11*j**2. What is m(x(r))?\nAnswer: -44*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:55 PM and 5:40 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 493 + -499. Let x(u) = 2 + u - 4*u - 2 - u**2. What is x(s)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-7)\/14)\/(2\/(-48)). Suppose -s + 0*s + j = 0. Solve 0*p + s = 4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 505476?\nAnswer: 2, 3, 19, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 31410, 62833, 94256, 125679?\n\"Answer: 31423*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r + j = 22, 5*r - 8 - 18 = -3*j for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1 + 1)\/(-13 + 15) + 7. Let i be 915\/z - -1 - 146\/(-511). Let g = i + -39. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -11958*b + 5137. What is the ten thousands digit of t(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(1100) + 2*sqrt(1100) + sqrt(1100)) - 6*(sqrt(1100) - sqrt(1100)*2 - sqrt(1100)))**2*-1.\nAnswer: -17600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -23036*p**3 + p**2 + 2*p + 4. Is c(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -9 - -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 30925105 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 1841 + 6691 = 0. Let s be (-10)\/(-32)*-6*1302. Let p = s - t. Calculate the common denominator of p and -47\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes before 7:09 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7654 and 3569.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 147*c = -7*c + 1386 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-2\/15)*o**(-3\/7))\/(o\/(o\/((o*(o*o**(5\/3)*o)\/o)\/o))*o*o\/(o\/(o**4\/o)))*o**2*o*o*o\/o**2*o**(-1)\/o*o\/o**(-3\/5) assuming o is positive.\nAnswer: o**(-162\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 37 + -37. Suppose n + 3*g + 11 = o, 3*n = -5*g - 14 - 3. Solve j + 2 = n for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q + 0*q**2 + 4*q**2 - 3*q**2 - 9. Suppose -4*b + 4*j = -7 - 29, -2*j + 10 = 5*b. Suppose -b*y = -3*y. Calculate x(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -28*q**2 - 782*q + 59. Determine k(-28).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 78624 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4 or -18627?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 - 5. Suppose 3*l - 4*q = 22, 2*l + 2*l + 5*q = -12. Let t(g) = l*g - g - 3 + 0 + 4. Calculate t(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-2\/7)*i*i*i*i*i**8)\/(i**(2\/3)*i\/((i\/(i**(-4)\/i))\/i)))**(-3\/37) assuming i is positive.\nAnswer: i**(-316\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 69430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -36733 (base 9) in base 2?\nAnswer: -110000001001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -576*t**3 + 773 wrt t?\nAnswer: -1728*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s**2 - 2 + 2)*(-2*s + 0*s + 4*s).\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the third derivative of h**5\/30 - 11*h**4\/24 + 3*h**3\/2 + 12*h**2 + 1. Let i be p(3). Let v be 5 + (1 - 0 - 1). Put i, v, 2, -1 in descending order.\nAnswer: v, 2, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -2*h + 18. Let w be k(9). Let q = 4 + -2. Solve q*b - 4 + w = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 787 - 787. Let v = -0.6 - -0.1. What is the nearest to w in -0.07, v, 0.3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**2 + 2*j + 10. Let z(r) = r**2 + 7*r - 18. Let m be z(-9). Let u be x(m). Solve -u = -5*d + 10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -548 = -4*w + 2*n, 2*n - 538 = -4*w - n. Suppose 0*x + x = -3*i + w, 5*x = -3*i + 116. Solve -3*a + 5*s = 40, -17 + i = -3*a + 3*s for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 75175507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*f**2 + 2*f**2 - 3*f**2 + (31*f + 9*f - 14*f)*(-4*f + f - f).\nAnswer: -107*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h**2 - 28*h + 48. Let n be b(-22). Suppose -n = -183*l + 177*l. What is the lowest common multiple of 24 and l?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 3, l: 4, o: 2, p: 1, r: 7}. What is prob of sequence ro?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k\/(k**(1\/14)\/k)*k\/k**(-4\/5) assuming k is positive.\nAnswer: k**(261\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.1 + -1.4. Let p = m - -3.5. Let a = p + -2. What is the nearest to -2\/3 in -1\/5, a, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.0658 + -0.0658. Which is the nearest to x?  (a) 0.3  (b) 2\/5  (c) -3  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/((-36)\/10) + 9381\/1062.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 34809 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 174.99815 - 175. Round a to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that 4*b**5 + 105593212*b**4 - 422372912*b**3 = 0.\nAnswer: -26398307, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(1\/33)\/l*l\/(l\/(l\/(l*l**(2\/27)\/l)))*(l\/l**(3\/5))**(1\/35) assuming l is positive.\nAnswer: l**(-1681\/51975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 11*u + 4 - 15. Solve -126 = 23*a - u*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + -4*(2 + sqrt(1088) + (-2*sqrt(1088) - sqrt(1088)) + -1*(-1 + sqrt(1088))) + -2)*6.\nAnswer: -96 + 576*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 24*x**3 - 55*x**3 - 22*x**3 - 19*x**3 + 130*x**3.\nAnswer: 10*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c**(-1\/2)\/c))\/(c\/c**(16\/9)*c) assuming c is positive.\nAnswer: c**(41\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/((u*u\/((u\/(u*u\/(u\/(u*u**1))))\/u)*u)\/u*u))\/u**(-13\/5))\/((u*u*u*u**14\/u*u)\/(u*u**29\/u)) assuming u is positive.\nAnswer: u**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2786 is divided by 542?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**3 + 3*m**2 - 5*m - 7*m**2 + 8*m**2. Let t be q(-5). Let v(c) = c + 16. What is v(t)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35695841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the first derivative of 0*u + 0*u**2 - 1\/3*u**3 - 6\/5*u**5 - 1 + 0*u**4. Find the third derivative of y(d) wrt d.\nAnswer: -144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 758461353?\nAnswer: 3, 13, 1495979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 1.6 times 3662\nAnswer: 5859.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -1, 1, 1948?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 2, s: 2, j: 10, a: 3, f: 2, i: 1}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-3\/10)*n)\/((n*n\/n**(-15)*n)\/n))\/(n**(6\/13)\/(n**(11\/5)*n)) assuming n is positive.\nAnswer: n**(-1763\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h**2. Let t(j) be the second derivative of -221*j**3\/6 - 13*j - 6. Give t(g(d)).\nAnswer: -221*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 7*x + 68258 = b, 4*x + 3*b - 91019 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*r**2*s**2 - 186048*r**2*s - r**2 - r*s + 843840*s**2 + 2*s - 2 wrt r?\nAnswer: -10*s**2 - 372096*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -27800, -111158, -250086, -444584, -694652?\nAnswer: -1000290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o**2 - 5*o + 11. Let t(y) = 2*y**2 + 9*y - 21. Let i(j) = -11*m(j) - 6*t(j). Determine i(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of ((-5375)\/(-215))\/(((-1)\/(-215))\/1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 8, m: 3}. What is prob of picking 2 c?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -4.3 from -47303539.\nAnswer: -47303534.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.97634719 rounded to 2 dps?\nAnswer: -4.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/3, 27669, 5, 8.4, -5\/2?\nAnswer: 27669","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -280.0039 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 371*x - 1049*x + 136*x)*(-3198 - 129*x + 3198).\nAnswer: 69918*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(544)\/sqrt(2))**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.46 to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -6 - -31124663?\nAnswer: 31124656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 57126 (base 10) to base 9\nAnswer: 86323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.8004293413 and -1.1?\nAnswer: 1.9004293413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2 + 1 + (-4)\/((-12)\/(-2283)). Let b = a + 1544. Suppose 211 = 2*g - 4*l - 575, 2*g = -l + b. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -19197156976 plus -3?\nAnswer: -19197156979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -1116*o**3 + 16*o**2 + 58*o + 43. Calculate n(-1).\nAnswer: 1117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 56534 (base 7) to base 16\nAnswer: 37fd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -4  (b) 2  (c) -3\/8  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-3 + -4)\/(4\/1 + -3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -4*1*(-4)\/8. Suppose 0 = 3*b - o*b. Let f = -2\/7 - b. What is the third smallest value in 5, f, -2\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 6*o + 26 = 0. What is the smallest common multiple of 1 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*b = -5*b - 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -336*0.4.\nAnswer: -134.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -70 or -105?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 + 36. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -40*o**4 - 1724805*o**3 + 20488770*o**2 + 46151795*o + 23938260 = 0?\nAnswer: -43132, -1, 111\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(3\/7)\/h*h\/h**(-5)*h**(-1\/15)\/h**(-1\/21))**(2\/7) assuming h is positive.\nAnswer: h**(1136\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 624\/117*(27\/(-4))\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 72*o + 72. Let g be f(5). Let a(p) = -35*p - 8. Let s be a(-1). Calculate the highest common factor of s and g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 253395 is divided by 143?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**0)**(-3\/20))**(6\/7)\/(f**(-7)\/(f\/(f**(-9)*f)))**39 assuming f is positive.\nAnswer: f**624","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i - 16 + 16)*(-124 - 8 + 49).\nAnswer: 83*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 6904 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-86521)\/(-93)*(0 + -2 - -5).\nAnswer: 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 5 - 8)*(2*y**2 + 4 - 4) as d*y**2 + b*y + h and give d.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/5*((-110)\/(-2))\/(-11)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**3 + 95*r**2 - 507*r - 2428. Calculate s(89).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 41\/2 of a meter in millimeters?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the first derivative of -3*w**2\/2 - 1. Let x be o(-2). Is 5 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 5*a**5 - 4*a**4 + 2*a**3 - 2*a**2 + 13*a - 8. Let n(m) = -4*m**5 + 3*m**4 - 2*m**3 + 3*m**2 - 12*m + 7. Let d(b) = -6*n(b) - 5*w(b). Factor d(u).\nAnswer: -(u - 1)**4*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -10*h**5 + 50*h**3 + 229*h + 2 wrt h?\nAnswer: -200*h**3 + 300*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the third derivative of 43*n**6\/60 + n**4\/24 + n**3\/3 - 7*n**2 + 8*n. Find the second derivative of p(q) wrt q.\nAnswer: 516*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 * -0.209\nAnswer: 0.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**3 - 275*n**2 + 184*n + 50598. Calculate k(-275).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - -16) + (1 - 51 - (739 + -746)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = p - 3*l + 60 - 79, 2*p = 5*l + 33 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 323099 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -50\/149 and -35\/1341.\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-9 - -2) + -2 - -3. Let y be -15*-6*(-2)\/30. Is a bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/1365 and -17\/2254.\nAnswer: 439530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g**5 + 90*g**4 - 280*g**3 - 960*g**2 = 0. Calculate g.\nAnswer: -2, 0, 8, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13529535.\nAnswer: 3, 5, 17, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -15307\/15600 + 113\/400. Calculate the common denominator of -97\/72 and x.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -88 - -90. Solve 0 = 12*r - 11*r + p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1441354079 to the nearest integer?\nAnswer: 37965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from papxpaa. What is prob of sequence paaa?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -3307 - 3316 + 6616 + 13*j. Let i(s) = -25*s + 13. Determine 6*i(c) + 11*n(c).\nAnswer: -7*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the second derivative of w**3\/6 + 3*w**2\/2 - 2*w. Let k be 9 - (0 - (2 - 5)). Let n(o) = -4*o + 6 + 5*o - 2. Determine k*z(a) - 5*n(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 26?  (a) 2  (b) 5017\/9  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in 5.7, 319, -4, 85?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -92967*i**2*j**2 - 8*i**2 - i*j - 1262*i - 1 wrt j.\nAnswer: -185934*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 13 (base 6) to base 7\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 26 + 500 - 76 - c + 4*c**2 to v + s*c**2 + z*c and give v.\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 2, d: 3}. What is prob of picking 2 d and 1 c?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1417871*i + i**2 - i**2 - 708936*i - 708935*i + 2*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (20\/(-8))\/((-32140)\/4821).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-55200)\/(-36000)*18\/92.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the first derivative of r + 0*r**2 - 3*r**4 - 2\/3*r**3 + 3. Let v be l(-1). What is the greatest common factor of v and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 510488 to the nearest integer?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 236 - 15*a - 236.\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 14*l**2 - 12*l + 41. Let b(j) = -5*j**2 + 4*j - 14. Let c(y) = -17*b(y) - 6*h(y). Let v be c(-4). What are the prime factors of 1881\/44 + (-2)\/v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1 + 0)\/((-9)\/9). What are the prime factors of ((-11)\/2)\/a*4?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 12870120 or 12870122?\nAnswer: 12870122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 273 and 23517.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**(1\/10)\/q)\/(q*q\/(q\/(q*q**(-3\/7))))*(q**(-2\/7)\/q)**(-42) assuming q is positive.\nAnswer: q**(3677\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 3\/13, 103919\/5, -0.5, 1, -1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c**3 + 8*c**2 - 2*c - 10. Let v = -35 - -27. Let y be q(v). Suppose -8*h + 2098 = -y*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the third derivative of -1\/12*j**4 - 3\/112*j**8 + 0 - 23*j**2 + 0*j + 0*j**7 + 0*j**3 + 0*j**5 + 0*j**6. Find the second derivative of w(l) wrt l.\nAnswer: -180*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5320+0.087215\nAnswer: 5320.087215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -69*u + 950 = -u - 43*u for u.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 + 42\/12)\/((-42)\/8).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16473177 times -13?\nAnswer: -214151301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -66, 2, 116, 276, 482, 734?\nAnswer: 1032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 w when two letters picked without replacement from {w: 8, u: 2, h: 9}?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i - 677 + 697 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 10062398?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 2 = 0, 5*k - 274 = -3*m - 0*m. What is the greatest common divisor of 352 and m?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.34, -6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58 = t - 22. Suppose 0*w = -w - 4, 5*w + t = 5*d. Calculate the remainder when 34 is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13.4 - -298.6. Let v = 311 - f. Which is the third biggest value?  (a) 5  (b) 0.05  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0065031 rounded to 4 dps?\nAnswer: 0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2709476 and 22.\nAnswer: 2709476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 116 a factor of 3480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3188647 days to minutes.\nAnswer: 459.165168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4)\/6 + 715\/33. Let w be (-2)\/(-7) + 183\/l + -2. Let v be (-9)\/((-17)\/28 + (-1)\/w). Calculate the greatest common divisor of 132 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 89 a factor of 5073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1190653.166 rounded to the nearest one thousand?\nAnswer: 1191000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 32 - (17 + 19) - ((-5 - (1 - 5)) + -60)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(128) + 1)*2 + 6*(-5 + (sqrt(2) - (sqrt(160) + sqrt(10))\/sqrt(5))))**2.\nAnswer: 448*sqrt(2) + 912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4013 - 311200?\nAnswer: -303143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -13 and 832283?\nAnswer: -10819679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(95)*3)\/sqrt(5).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1289452107*y**4 - 945202959*y**2 wrt y?\nAnswer: 30946850568*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 214 (base 9) to base 5.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-1)*a*a*(a\/(a**0\/a))\/a*a*a)\/(a\/(a*a**3\/a*a)*(a**(-2\/7)*a)\/a) assuming a is positive.\nAnswer: a**(51\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.04744 to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -2*f**2 - 2*f + 3. Let u(d) = -10*d**2 - 10*d + 12. Let x(i) = u(i) - 3*z(i). Determine x(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18841 = -60*f + 19801 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34\/204*-138 - -26.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 2728*g**3 + 527*g. Let m(y) = -31*y**3 - 6*y. Suppose 34 = -5*t - 4*i, 25*i - 15 = 2*t + 28*i. Determine t*o(s) - 527*m(s).\nAnswer: -31*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w - 6*w + 9*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -362 or 12453.3?\nAnswer: -362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*d**3*f*l + 432*d**3*f + d**3*l - d**3 - d**2*f - 188*d**2*l - 163*d**2 - 2*d*f*l + d*l wrt d?\nAnswer: -18*f*l + 2592*f + 6*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/3*1)\/((-219)\/(-73))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -5*r + 6. Suppose 2*d + v = 74, 3*d + r*d + 2*v = 186. List the prime factors of d.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 6) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 24.4  (b) -4\/71  (c) 2\/3  (d) -1\/4  (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*i + 41*i - 18*i - 4*h - 5 = 9, 0 = -9*i - 3*h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 629*m**3 - m - 574*m**3 + 2*m**2 - 2*m**2.\nAnswer: 55*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + f = -15, 0 = 5*d + 2*f - 19. Let l(c) = -5*c + 23. Let v(s) = -2*s**2 - 34*s + 3. Let z be v(-17). Let h be l(z). Solve -d*w + 3 = h for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = -d + 31, -590*d - y - 37 = -592*d. Solve d*x = -14*x - 280 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -68552*f**3 + 68553*f**3 - 240*f + 240*f + 2708*f**2 - 2 in the form q + b*f**3 + v*f + h*f**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = 2*r + 105. Let o be 1\/((r\/6)\/(-7)). Find the third derivative of -4*a**2 + 9*a**3 - 8*a**2 + o*a**2 wrt a.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-18))\/(51 - 721\/14) - 128\/3\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5601.898 litres to millilitres.\nAnswer: 5601898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is (6*(-2)\/4)\/(15\/(-1195)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/3 + (-14545)\/(-15). Round p to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g - 4*k = 24, 2*g = -0*g + 5*k + 24 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(2\/7))**(2\/59))**(3\/8)\/(g**4\/g**(-4\/3))**(2\/41) assuming g is positive.\nAnswer: g**(-26063\/101598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (5*1*sqrt(35))\/(1*sqrt(405)) + 1 + -1.\nAnswer: -3 + 5*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18\/(-162))\/(((-3)\/2)\/(-3)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -1444971?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 5*j - 57 = 0, -3*s + 6 = 4*j - 68. 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: Let w(i) = 68*i**2 - 58*i - 12. What are the prime factors of w(6)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -352 - -1569. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 20632.4 to the nearest one hundred.\nAnswer: 20600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-18)\/(-63) - (-100)\/(-7). Let v be (-17)\/(-5) + p\/35. Suppose s = v*i - 3*s - 39, -6 = 2*s. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 - ((9 - (0 + 3)) + -9)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*j**2\/4 + 19581*j\/4 + 875334.\nAnswer: 3*(j + 184)*(j + 6343)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 2*m = -10, j + 3*m - 5 = -j. Suppose j*s + 3*y - 1310 = 459, -3*y = 15. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 8112?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 732*l**3 - 9*l - 1484*l**3 + 731*l**3 + 9*l - 2*l**2.\nAnswer: -21*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 16980, 16215, 15412, 14553, 13620, 12595, 11460, 10197?\nAnswer: 8788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 32821999391 and 63?\nAnswer: 32821999328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 1 - (-1 + -2) - (0 - (13 + -78 + 8))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1.2 in 2\/7, 0.02, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1 and 7987271.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -3647, -9013, -17961, -30497, -46627, -66357, -89693?\n\"Answer: -q**3 - 1785*q**2 - 4*q - 1857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 316 - 307. Solve -11 = -4*i + m for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d and 1 c when three letters picked without replacement from {i: 1, b: 5, d: 6, c: 2, u: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 24659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 66*b**2 - 20*b**2 + 26*b - 10*b**2.\nAnswer: 36*b**2 + 26*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -129*z**2 + 3. Let s(v) = 156*v**2 - v - 3. Let w(b) = 5*s(b) + 6*y(b). Let i(l) = 3*l**2 - 2*l + 1. Give -5*i(m) + 2*w(m).\nAnswer: -3*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*q**2\/4 - 1325*q\/2 + 351125\/4.\nAnswer: 5*(q - 265)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 209060*i**2 + 2*i. Let t(d) = -1207*d. What is q(t(o))?\nAnswer: 304568851940*o**2 - 2414*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 5*l - 3*c + 43, l - 9 = -3*c. Let o be 12*((-3)\/(-18) + (-2)\/l). Let s(h) = -h**3 + 7*h**2 - 7*h - 4. Determine s(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -7*c**3 - 536*c**2 - 6*c - 2. Let r(k) = -2*k**3 + 6*k**2 - 2*k. Calculate l(m) - 3*r(m).\nAnswer: -m**3 - 554*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 132 by 25613.\nAnswer: 132\/25613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = -2*f - 5. Let i be (-28)\/(-35) - f\/5. Solve 0*q**2 + i + 1 - 2*q**2 = 0 for q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0\/(41 - 74) + 40868 + 0 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**2 + 7*j + 4. Let f be (-2)\/((-40)\/25 + 2). What is g(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 20, 56, 116, 200?\n\"Answer: 12*w**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jzxnuuzj. Give prob of picking 2 z.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 112716 by -606.\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -41.1, 5, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -5*m + 4, -5*j = -4*m - 165. What are the prime factors of j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m**2 + 16*m + 602. Is t(0) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 9*c - 5. Let z(t) = -8*t + 5. Let g(b) = 5*f(b) + 6*z(b). What is g(7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -368\/9 - -41. Let i be (55\/6)\/((-56)\/(-2)). Let h = i + -1\/24. Which is the third biggest value?  (a) h  (b) w  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 629086 is divided by 215?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -285, -281, -275, -267, -257, -245?\n\"Answer: f**2 + f - 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 946 - 946 + 4458*i**2 - 4461*i**2. Let f(o) = 911*o. Determine c(f(u)).\nAnswer: -2489763*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/816 and -79\/10812?\nAnswer: 43248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/(-24)*42\/(-28). What is the third biggest value in -1\/3, u, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (0 + sqrt(17) + 2)**2*-5.\nAnswer: -101 - 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.0609 in -2\/149, 0.23, -5\/2?\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.03 + -0.43. Let u be 16\/(-96) + (-1)\/2. Put w, -0.6, u in descending order.\nAnswer: w, -0.6, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 208320 divided by -41664\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*p + 934 = 4*z, 141*p + 4*z = 138*p + 322. Suppose 2*x + 0*x = -198. Let y = x + p. Solve y*i = i + 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2401756.66 rounded to the nearest 10000?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -218.5886 to 1 decimal place.\nAnswer: -218.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 + -5. Let i = j + 9. Suppose -u + 3*b = 0, -i*u - 1 = b - 15. Calculate the least common multiple of u and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 7*k**2 - 65*k - 2. Let m(t) = -2*t**2 - 2*t + 2. Determine -a(p) - 2*m(p).\nAnswer: -3*p**2 + 69*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*z - 1542 - 138. Let p be z + -2 + 2 + -3. What is the hundreds digit of ((-2)\/(-2))\/(3\/p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 22231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**(5\/2)*s)\/s)\/s)**(1\/9)*s**(3\/13)*s\/(s*s**43) assuming s is positive.\nAnswer: s**(-3323\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 92770632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1459.\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t + 3 + 3. Let m(i) = -i + 13. Let k be m(t). Let j(c) = -c + 1. Let q(r) = r**2 - 7*r - 7. Let f(s) = -j(s) - q(s). What is f(k)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 371936\/6279 + -770\/13. Suppose y + z = 5, -4 + 13 = y + 2*z. Which is smaller: o or y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -544a31b (base 12) to base 16\nAnswer: -f48947","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 1492.957km?\nAnswer: 149295700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 80, 32, -114, -406, -892, -1620, -2638?\n\"Answer: -8*m**3 - m**2 + 11*m + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.36?  (a) 0.1  (b) -7  (c) 4  (d) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -869*o - 156211 = -97988 for o.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -50\/132713 and 54\/329.\nAnswer: 6237511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.067 - 0.1. Round n to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 3*y + 10 = -0*x, 3*x = -3*y + 30. What is the greatest common divisor of x and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2390539 is divided by 601.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -5819*x**3 - 80*x + 1591. Let h(t) = 17457*t**3 + 280*t - 4773. Let p(m) = 2*h(m) + 7*l(m). Find the first derivative of p(y) wrt y.\nAnswer: -17457*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i**3 + 13*i**2 + 11*i + 7. Let p be q(-12). Suppose -3*z - 5*u = -p, z - u = 4*u + 13. What is the greatest common factor of z and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnnh when four letters picked without replacement from {h: 1, n: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 3701147*c**2. Let k(o) = -4*o**2. Determine m(k(b)).\nAnswer: 59218352*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 147639, 295272, 442905, 590538, 738171?\n\"Answer: 147633*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.2  (b) 0.4  (c) 4\/7  (d) -157  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 7*l**2 - 2*l - 2*l**2 + 2*l + 7*l. Let n be x(-2). Solve 0 = -b + 2*t - 7*t + n, -4*t = b - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 138986 is divided by 5938.\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3248 + -22783\/7. What is the common denominator of -27\/530 and w?\nAnswer: 3710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 592 minutes after 6:42 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 6\/(-2) - (-9 + 8 + -2). Suppose y = -2*v + 3*v + 1. Is 6 a factor of -9 + 10 + ((-22)\/2)\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**3 + 16*q**2 + 17*q - 17. Calculate z(18).\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0\/(-4))\/2 + 6. Suppose d + 2*v = -3, q*d - 7*d = -5*v - 25. What is the third smallest value in 2, d, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 140\/(-665)*-38*(-1)\/(-2)*-3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*i - 11040 = -5*i. Let z = 354 - i. What is the highest common factor of 36 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2727\/4 + -19097\/28. Which is the third biggest value?  (a) 10  (b) -3  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 27060 and 4059.\nAnswer: 81180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3954 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 234*y**2 - 28*y**2 + 215*y**2 - y**2 + 3*y - 3*y + (-1 + 0 - 1)*(y + 2*y**2 - y).\nAnswer: 416*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 397 - -70. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -3*d - 3, -3*v + 2*d = -7. Let s(a) = 305*a**3 - 7*a - 21. Is s(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -6 + 3 - h + 1. Let g(c) = 9*c**2 - 74*c + 19. Let m be (-22)\/(-2) + (-33 - -30). Let z be g(m). Calculate i(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1974016 is divided by 246751?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 4 - 3)*(-140*h + 65*h + 31*h).\nAnswer: 88*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - (-8 - (0 + 0)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 69010960 a multiple of 293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 344 - 344.3035. Let t = k - -0.3. Round t to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 354247 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.9, 7, 5, 3\/19, -189 in increasing order.\nAnswer: -189, 3\/19, 0.9, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 53, -7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*p**2 + 26*p**2 - 11*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 12, l: 3}.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:11 PM and 4:51 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**0*t*t**(-2\/13)*t*t\/t**(-3)*t**(-5) assuming t is positive.\nAnswer: t**(11\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that 9*b**5 - 888*b**4 + 26805*b**3 - 200502*b**2 - 1088304*b + 806880 = 0.\nAnswer: -4, 2\/3, 20, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = -b + n, 5*n - 3 = -2*b - 8 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -1113398*a + 1113390*a - 11 + 0*a**2 - a**2. Calculate t(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - w = -163, -2*c + w + 19 + 64 = 0. Let y = c + -37. Solve y*p - 9 = p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 387674 is divided by 129216.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -147 + 35.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -8*t**3 + 4*t**2 + 8*t + 6. Let f be x(-3). Let i = f - 201. What is the remainder when 95 is divided by i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t + t - 25950 = 0. Let y be (1\/(-2))\/(3\/t). Suppose 0 = -2*h + 4*m + m + 413, -3*m + y = 4*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 513 divide 845424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = -6 - 6. List the prime factors of ((-128)\/(-24))\/(2\/f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1 and -0.329.\nAnswer: 0.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/2 of a micrometer in nanometers?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2291518*z**4 + 242453*z**2.\nAnswer: 54996432*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 22368064 and 122344?\nAnswer: 2984","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 - 4 = 4*k. Find f such that -6*f + f**k + f**2 + 2*f = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 30 + 0. Let j(d) = d**2 + 21 + 29 + h + 4*d - 97. Let c be j(-7). Solve -6*l - c*b = -2*l - 32, -3*b + 16 = l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.15 - -14.85. Let x = 4320 + -4334.956. Let y = x + b. What is y rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 3 = 5*q, 4*q + 3*c = q + 18. Solve 10 = a + 3*a - l, -a - q*l = 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 19*a - 27. Let w be n(8). Suppose x - 6 = 113. Suppose -4*f + w = -x. Calculate the remainder when f is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 66, 71, 76, 81, 86, 91?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8522*q - 340*q**4 + 8522*q)*(4 - 15 + 36).\nAnswer: -8500*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 265 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 - -19. What is the highest common factor of w and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 26 = 2*x, -b + 3*b - 25 = 5*x. Suppose b*q = -0*q. Suppose -w + k = -42, -5*w - 4*k + q*k + 255 = 0. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 41372107 divided by 1.\nAnswer: 41372107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-160)\/(-48)*(2\/(-4))\/((-240)\/864).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 506 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.1 + 0.9. Let g = -0.1 + 0.1. Sort g, -3\/5, d in descending order.\nAnswer: d, g, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 2342, 8980, 20060, 35582, 55546, 79952?\n\"Answer: 2221*p**2 - 25*p + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*l + 57*l**3 + 9*l**3 + 53*l**3 - 99*l**3 + 64*l**3.\nAnswer: 84*l**3 - 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -2833 bigger than -563?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w + 23 = -3*l, 0 = -4*w + 98*l - 94*l + 36 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:07 AM and 2:35 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -305314 - 3.041783?\nAnswer: -305317.041783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 59017 and 253477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2388164186?\nAnswer: 2, 37, 43, 463, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 122196 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -25*f. Let y = -202 + 206. Let l(s) = 6*s. What is y*g(i) + 18*l(i)?\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 4157155 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 28950074 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -24639026*x**2 + 12213834.\nAnswer: -49278052*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5006 is divided by 63.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((6\/4)\/3)\/(-2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/(-15))\/(4\/10)*96558\/2299?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z**3 + 2*z**2 + 5*z + 4. Let p(b) = -b**2 - 5*b - 2. Let k be p(-3). Let y(q) = -q - 1. Calculate k*y(a) + n(a).\nAnswer: -a**3 + 2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -13 divided by 86\nAnswer: -13\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - 6) + 0 + 7 + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -13524*p - p**2 + 6758*p + 6864*p. Let g(c) = -2*c**2. What is t(g(q))?\nAnswer: -4*q**4 - 196*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*k - 3995353 = 15*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7026 is divided by 3179?\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the second derivative of -z**7\/84 - z**6\/12 - z**5\/5 - z**4\/6 - 5*z. Factor t(k).\nAnswer: -k**2*(k + 1)*(k + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 65\/14 and 145\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.5, -1\/6, 0.6, 2546?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = 2*k + 228. Let j = -70 - -75. Suppose -k = 3*q - j*q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (62 - 60) + -30 + 12 + 2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 73*a - 7 - 650 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m + 4. Suppose 5*k - 3 = -j + 23, 2 = k - 3*j. What is the units digit of i(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9053?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2419117, 2419070, 2418993, 2418886, 2418749, 2418582?\nAnswer: 2418385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -z**4 + z**4 - z**4 + (z**3 + 0 + 0)*(0*z + 3*z - 4*z) - 23*z - 3 + 25*z + 2 + 13*z**4.\nAnswer: 11*z**4 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -69, -281, -635, -1131, -1769?\nAnswer: -2549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3960971 or -3960972?\nAnswer: -3960972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 6 - (-3 + 6) - 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 8*o**2 + o. Let d be w(-1). Let m(p) = -p**2 + 9*p - 10. Calculate the remainder when 6 is divided by m(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (1 + sqrt(363) - sqrt(363))**2 + sqrt(3) + -3*sqrt(147) + -4.\nAnswer: -20*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 155.22894 to two decimal places.\nAnswer: 155.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 758 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: Suppose 0 = 3*k, -2*v + 4*v - 592 = 2*k. Suppose -v = -4*c - 40. Let f(a) = -a**3 + 10*a**2 - 5*a - 14. Calculate the remainder when c is divided by f(9).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/3  (b) -1\/7  (c) 7\/3  (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*k - 5, -3*k + 109 - 94 = 2*g. Let o = 105 + -89. Solve o = 2*y + g*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 35534466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 12*b**3 - b**2 + 2*b - 2. Let p be i(1). Suppose 7 + p = 6*g. Solve 4 = -g*c - 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i\/i**(-2\/9)*i*i*i**(-2\/7)*i*i)\/i**(10\/7)*(i**(-1\/2)*i*i**(2\/3))\/i**(-2\/45) assuming i is positive.\nAnswer: i**(1201\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and 1995.18.\nAnswer: 399.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 423 + -395 - (93 - 21).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8 + 44. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 83 - 53. Let v = r - 30.127. Round v to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 72036 by -58.\nAnswer: -1242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 994779922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 13 - 6. Let z(k) = 11*k**2 - 77*k + 80*k - k**3 - 4*k**2 + 1. Is z(x) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -69 - 40829?\nAnswer: -40896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 10111100 (base 2) to base 15\nAnswer: c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 85 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7614244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**3\/7 - 16*d**2 - 218*d\/7 - 108\/7.\nAnswer: -2*(d + 1)**2*(d + 54)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that r**3\/6 - 17*r**2\/6 + 55*r\/6 - 13\/2 = 0.\nAnswer: 1, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the first derivative of g**4\/24 + g**3\/6 + g**2\/4 - 2*g + 3. Let l(a) be the first derivative of p(a). Suppose l(k) = 0. Calculate k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 6336*p**2 - 3170*p**2 - 3167*p**2. Let j(z) be the second derivative of -4*z + 0*z**3 - 5\/6*z**4 + 0*z**2 + 0. Give a(j(i)).\nAnswer: -100*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -854*f**3*r**3 - 8*f**3*r**2 + 104*f**3 + 5*f**2*r**2 - 4*f*r**2 + 11*f - 54900*r**3 wrt f?\nAnswer: -5124*r**3 - 48*r**2 + 624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10927 = -1457*o - 104*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 4*b - 24. Let t = b + -8. Suppose -r + a + 62 = 3*r, t*r = 4*a + 24. Is r a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -221312002331 - 10?\nAnswer: -221312003001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9\/2143369 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4.09 - 4.59. Let o = 0.04 + -0.34. Let s be 3\/((-66)\/(-40)) + -2. What is the second biggest value in n, s, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (32 - 13*t**2 - 32)*(0 + 1 - 3) to l*t**2 + p*t + m and give l.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 904453 + -3?\nAnswer: 904450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*c**3*u**2 - 28*c**3*u + 2*c**2*u**2 + c*u - 40*c - u**2 wrt c?\nAnswer: 12*c*u**2 - 168*c*u + 4*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -258, -7, -3, -5, 3, -152 in decreasing order.\nAnswer: 3, -3, -5, -7, -152, -258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 13 or -350?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 62358 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 + -6. Let h = -5 - u. What is the first derivative of -h*x**2 + 3 + 0 - 2 + 2 wrt x?\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -82*c**2 + 4*c + 4. Let o(d) = 17*d**2 - d - 1. Let b(a) = n(a) + 4*o(a). Let i(g) = -183*g. Give b(i(l)).\nAnswer: -468846*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4634822?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.7832 rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -53*q + 40*q + q**2 - 55*q + q**2.\nAnswer: 2*q**2 - 68*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1332 - 1299. What is the highest common factor of k and 825?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*j + 53 = 13 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 162993536?\nAnswer: 2, 31, 41077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -288720 by 15.\nAnswer: -19248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 542 - 811. Let c = -269.0227 - w. What is c rounded to three dps?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, 38\/3, 0.56, -1, 4, 2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that -3*z**3\/2 + 14445*z**2\/2 + 2870457*z - 5769792 = 0.\nAnswer: -371, 2, 5184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4\/6 - 8\/(-24). Let l(p) = 7*p**2 + 35*p - 4. Let r be l(-8). Suppose 0 = 161*t - r*t + 33. Solve -4 + m = 3*f - 3*o, 0 = -4*f + o + t for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 17810*h**2 - 3*h + 8. Is u(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 43 - 730*g + 19 - 62 - 787*g.\nAnswer: -1517*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2122*p + 4614*p - 2325*p + 192 - 3031 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6515052 and 1000?\nAnswer: 1628763000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b - 1. Let i be o(2). Let x(v) = -v**3 - 12*v**2 - 10*v + 16. Let r be x(-11). Suppose -c - i = -r. Solve c*a + 15 = a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -781262, -781284, -781306, -781328, -781350, -781372?\nAnswer: -781394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18496896?\nAnswer: 2, 3, 11, 29, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 70692866 to the power of 1\/2, to the nearest integer?\nAnswer: 8408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5455 - -49148\/9. Find the common denominator of (-6)\/8*76\/2 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes after 7:39 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.2 and 0.2.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 8244 + 5?\nAnswer: 8250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that -2*t**4 + 28*t**3 + 34*t**2 - 60*t = 0.\nAnswer: -2, 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 9) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -322 - -33282?\nAnswer: 32a60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 - -3. Let d be (2\/4)\/(21\/(-6)). Let c = 32 + -34. What is the closest to d in -0.3, c, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 494 and 684?\nAnswer: 8892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 100 divide 32783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**2)**(23\/6)\/(j**(-2))**(1\/5) assuming j is positive.\nAnswer: j**(121\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 455916 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 8 = 2*b. Let c be 25\/(-3) + (-24)\/(-18). Calculate the lowest common multiple of (-110)\/b + c\/(-28) and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*i**3 - 7380031*i - 7381325*i + 14761356*i.\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 27176 and 3160.\nAnswer: 135880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 0*g - 5*g**3 + 2*g + g**3 + 1. Let o be n(-1). Suppose -3*c + c + 4 = 0, o*j - 2*c = 11. Solve -z = 5*q - 11, -j*q - 1 = -5*z - 3*q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1526368 is divided by 1276.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -17*q - 83. Let o be a(-5). Find the second derivative of -120*n**o + 55*n - 2*n - 32*n + 56*n wrt n.\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 11, y: 1, i: 2, w: 2}. Give prob of picking 3 h and 1 w.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00096262061 to 7 decimal places.\nAnswer: 0.0009626","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 58*a. Let f be s(2). What is the remainder when 198 is divided by 5\/(3 + f\/(-40))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 90 + 43. Calculate the remainder when x is divided by 24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 - 3*p)*(-3*p**2 + 5*p**2 - 3*p**2) - 23*p + 23*p + 8*p**3.\nAnswer: 11*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 10111010001000 (base 2) in base 11?\nAnswer: 8a4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = q + 4*q. Let w(m) be the second derivative of -m**4\/12 + 5*m**3\/3 + 8*m**2 - m. Let t be w(11). Solve s = f - s - t, 0 = q*f - s for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 11*t - 89. Let d be y(8). Is d <= -3\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x + 2*h - 22 = 0, 5*h - 18 = -2*x + 5 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 12*n + 17*n**3 + 7*n**3 - 21*n**3 + 12*n**2.\nAnswer: 3*n*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 866*z + 29000 = 876*z. What are the prime factors of z?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/1*((-441)\/18)\/7. Let v(x) = x**2 - 9*x + 11. Calculate v(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3327 or 59875\/18?\nAnswer: 59875\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 times 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -93\/5278 and 49\/290.\nAnswer: 26390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 145 = 5*j - 116, 0 = 5*j - t - 273. Sort 1, -2, j in increasing order.\nAnswer: -2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/4 + 830\/20. Suppose j = 4*d - 3*d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 564*k**3 - k**2 + 2 + 0 + 7*k**2 + 4*k. Let f(d) = -d**3 + 6*d**2 + 7*d - 11. Let u be f(7). Let w be b(u). Round w to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**3 + z**2 - 5*z - 1. Is g(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -101863, -203728, -305593, -407458?\nAnswer: -509323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 8*a**2 + 5*a - 85. Let g(x) = 13*x**2 + 8*x - 136. Let m(z) = -5*g(z) + 8*h(z). Let j(u) = 60*u - 92. What is m(j(s))?\nAnswer: -3600*s**2 + 11040*s - 8464","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1766, 3527, 5288, 7049?\n\"Answer: 1761*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 225547550.\nAnswer: 2, 5, 593, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -268, 4, 0, 5.\nAnswer: -268, 0, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l**2 - 2*l - 5*l - 5 + l. Let z = -1 + 8. Determine r(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y and 1 t when three letters picked without replacement from yggtygggyygygy?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -27.4 + 27.35. Which is the second biggest value?  (a) -4  (b) 24  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 - (0 - -4) - (-4 + 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(80) + 1*sqrt(80))**2 - (sqrt(5)*-1 + -5 + sqrt(5))**2.\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**3 - 3*u**2 + 3. Let q be z(3). Factor -d**2 - q*d**3 - d**2 + d**3 + 0*d**3.\nAnswer: -2*d**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h**2 - 2 + 2)*(12 + 8*h - 12)*(-4*h + 4*h - 2*h).\nAnswer: 32*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.7, 6, 0.1 in decreasing order.\nAnswer: 6, 0.1, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1209 + 5*h**2 + 1209 - 24*h + (2*h - 7*h + 4*h)*(2*h + 5 - 5) to q + c*h + k*h**2 and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Total of 185519261 and 1641.\nAnswer: 185520902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the first derivative of 9 + 0*u**3 + 2\/15*u**5 - 2\/3*u**2 + 1\/3*u**4 - 2\/3*u. Factor w(o).\nAnswer: 2*(o - 1)*(o + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*t**3\/11 + 2714*t**2\/11 - 475848*t\/11 + 4064256\/11 = 0. What is t?\nAnswer: 9, 196, 1152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32*o - 2*o + 10*o - o**2.\nAnswer: -o**2 + 40*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 * 10975.\nAnswer: 54875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 461906 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 150.6123mg in micrograms?\nAnswer: 150612.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -26, 1354, 5, 6.\nAnswer: -26, 5, 6, 1354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 158766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**3 + 16*u**2 + 18*u + 47. What is t(-14)?\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 5 + 25\/(-5) + 1 + -2. Let w(z) = 0 + 5*z + 0. Give w(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -j**2 - 1758*j + 5512408 = 0?\nAnswer: -3386, 1628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10376 is divided by 231.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -26.2 - -25.9. What is the closest to 18 in 1\/2, 2\/17, v, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*h**2 + 3\/2 - 15\/4*h - 3\/4*h**3.\nAnswer: -3*(h - 2)*(h - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q**3 - 5168*q**2 - 865552*q - 39019776 = 0. Calculate q.\nAnswer: -1104, -94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/11?  (a) -8\/73  (b) 0  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 109934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o**3 + 28*o**2 + 173*o + 58. Does 13 divide m(33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -766 + 2*w**3 + 48 - 2*w**5 - 2*w + 136*w**4 - 885 wrt w?\nAnswer: -40*w**3 + 1632*w**2 + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 155 + 0?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 688 minutes after 6:34 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8985261 (base 10) to base 15.\nAnswer: bc7476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2657954?\nAnswer: 2, 13, 102229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -72 + 39 + 33 + 5*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - ((2 - 4) + -4) - 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z - 55 = 2*u - 59, 0 = 3*z - 5*u - 9 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {b: 4, s: 2, l: 1, i: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**2 + 86*n + 8381. Is 34 a factor of p(-103)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t**3 + t**2 + t - 1. Let i be o(1). Suppose 0 = -i*c - 2*c + 3*r + 37, -36 = -3*c - 2*r. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 63697330?\nAnswer: 2, 5, 6369733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-61)\/(-6) - (-438 + 436 + -3*(-33)\/9)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*h - 540 + 1562. Suppose -61 = 4*q - h. Solve 2*m - 7 = -0*n - q*n, 0 = -5*m + 3*n - 14 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-15 - -2) + (157 - -1568)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3702*a - 3681*a + 21 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -35*i**2 + 11*i - 6. What is w(-4)?\nAnswer: -610","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 801299, 801308, 801315, 801320, 801323, 801324, 801323?\n\"Answer: -w**2 + 12*w + 801288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 18199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2036 + 2064 = -4*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47676 - 47580 = -16*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.110409 < 447?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41763825.\nAnswer: 3, 5, 419, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 117 = -w - f, 5*w = -4*f + 300. Let z = 39 + -36. Suppose t = z*t - l - 19, 3*l = -2*t + 7. What is the highest common factor of w and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13\/(-3) + 112\/(-98)*-7?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -164*j**4 + 23523*j**5 - 23519*j**5 + 236*j**3 + 1764*j**2 + 1360*j**3 = 0. Calculate j.\nAnswer: -1, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -397 - -12309\/31. Which is the second smallest value?  (a) g  (b) 0.5  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xl when two letters picked without replacement from crklxld?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3868?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 137046 is divided by 278.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2100 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 267 is divided by 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3\/7*v**2 + 12\/7 - 15\/7*v.\nAnswer: 3*(v - 4)*(v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-32 - 138 + 50)*(-2 + 4 - 5) + (-3 + 1 + 3)*(3 + 3 - 5) - 1 - 3 + 6)*((-2 - 3 + 3)*(-2 + 2 + m**4) - m**3 + m**3 - m**4 - 2*m**4 - 2*m**4 + 6*m**4).\nAnswer: -363*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*y - 25, 3*j + 3*y = 9 + 27. Calculate the remainder when j is divided by 100\/70*(-2)\/((-2)\/7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5 + -14. Let i = 32 + w. List the prime factors of i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 13*d**2*l**3 - 33*d**2*l**2 - 5*l**3 - 910*l**2 + 2*l wrt d?\nAnswer: 26*d*l**3 - 66*d*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gyyolytgotggyhogtytg. Give prob of sequence ohoo.\nAnswer: 1\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i + 15 = 12*r - 9*r, 0 = r + 3*i - 7 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -16 - 3*1\/3. Let g = 31 + a. What is the greatest common divisor of 112 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -3*x**3 + x**2. Suppose 16 = -4*s + 4*m, 3*m - 14 = -3*s + 4. Calculate k(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 12 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ceecc. Give prob of sequence cee.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 80 - (13 - -28) - 53.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*l + 9*l - 5*l)*(-8*l**4 - 9*l**3 + 9*l**3) + l**5 + 0*l**5 - 2*l**5 + l.\nAnswer: 7*l**5 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 73963 - 1?\nAnswer: 73962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8 and 2950.\nAnswer: 11800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 886 - 2221?\nAnswer: -1224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -102977, -102978, -102981, -102986, -102993?\n\"Answer: -s**2 + 2*s - 102978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(3) + (sqrt(33)*-3)\/sqrt(11))*2)**2 + (sqrt(99)\/sqrt(3))\/sqrt(11) + (sqrt(432) + 1 + sqrt(432))**2.\nAnswer: 49*sqrt(3) + 1777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -101*h - 3 + 108*h - 2. Calculate p(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 570 minutes after 9:49 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -5\/156 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 83*k = -406 + 406. Solve k + j**2 + 1\/3*j - 4\/3*j**3 = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -7846195, -7846178, -7846121, -7846000, -7845791, -7845470, -7845013, -7844396?\n\"Answer: 4*a**3 - 4*a**2 + a - 7846196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30958767.\nAnswer: 3, 7, 54601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 732875\/6, 5, -5\/3, 0.5 in increasing order.\nAnswer: -5\/3, 0.5, 5, 732875\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -7.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 196*f - 387*f + 202*f.\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -2*x - 640, -2*x + 5*x + 640 = 5*o. Calculate the greatest common divisor of 16 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 358*s**2 - 10*s + 20. Let q(x) = -239*x**2 + 7*x - 14. Let r(g) = 7*k(g) + 10*q(g). Let b(h) = 4*h**2. Determine r(b(z)).\nAnswer: 1856*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 50327729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -894 - -887 - (1 + (3 - 1) + 1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 13\/40457880 and 19\/232632810.\nAnswer: 930531240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 7*o. Let w(g) = -2*g. Let p(q) = -5*q. Let b(v) = 3*p(v) - 10*w(v). Let n(u) = 4*b(u) - 3*z(u). Let m(a) = -3*a - 7*a + 2*a. Give m(n(j)).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 3 = -3*l, -3*l - 2*c - 2 = -l. Let p be (-15)\/(-2*1 - l). Suppose -5*a + 0*a - 2*k + p = 0, 5*k - 25 = 0. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 59728954.\nAnswer: 2, 421, 70937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -795404*a**2 + 1590593*a**2 - 795276*a**2.\nAnswer: -87*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**7*p**(-3\/5))\/(p\/(p*p**1)*p*p*p\/p**(-2\/35)))**(-1\/22) assuming p is positive.\nAnswer: p**(-76\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 26132795?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/27 and 139\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1082 + 1079. Let r = -0.389 + -0.011. Which is the nearest to 0?  (a) r  (b) 2  (c) -5\/12  (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*d + d - 5*d)*(-2*d - d + 4*d)*(d - 9*d + 0*d + (-3*d - 2 + 2)*(-3 - 3 + 3)).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 + 2. Suppose 5*w - 118 = t, x*w - 2*t = -0*t + 92. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:00 PM and 1:01 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-570)\/135 + 2\/9. Let p = 482.3 - 482. Which is the nearest to -1?  (a) p  (b) -2\/9  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1502574.3998 + 1502425. Let f = 155.1 + k. Let p = 5.7 - f. What is p rounded to five dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the third derivative of -g**5\/150 - g**4\/30 + g**3\/5 + 10*g**2 + g. Factor v(f).\nAnswer: -2*(f - 1)*(f + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 e when two letters picked without replacement from {k: 3, f: 1, n: 1, e: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(28)*-6)**2*-3 + 4.\nAnswer: -3020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:07 AM and 7:32 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 103230 (base 4) to base 10.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 6, -1\/6, -4\/31?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1021 + 1422?\nAnswer: 2443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7981648*t + 3*t**2 + 15959978*t - 7978330*t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1992, -7207, -15878, -28005?\nAnswer: -43588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/122, 654093, -5.\nAnswer: -5, 1\/122, 654093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 101, 64, 15, -52, -143?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2056 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*q - q - 338*q**2 + 343*q**2 - 1274*q**3 - 595*q**3 to the form j*q**2 + n*q + w + m*q**3 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2067 is divided by 205.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 35.08 - 5.98. Let f = z - 29. Let c = -11\/52 - 1\/26. What is the second biggest value in c, 1\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 117070*l**4 - 88791 wrt l?\nAnswer: 468280*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32826024 divided by 1.\nAnswer: 32826024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -5\/546 and (280\/72 - 5)\/(32\/6).\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1683351, -3366704, -5050057, -6733410?\nAnswer: -8416763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*n - 6972 - 556 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -66973 - -0.2.\nAnswer: -66972.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 441593 to the power of 1\/2, to the nearest integer?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 53*u - 886. Let l(s) = 4*s - 26. Give x(l(g)).\nAnswer: 212*g - 2264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8 + -4. Suppose 0 = -r + 3*j - 1, -j = -b*r + 6 + 1. Let i = 16 - r. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 313\/((-3)\/(22 + -1)). Is 4\/18 + x\/(-63) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6*2*(70\/21)\/(-10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v - 11. Let g be b(-4). Let x be 14\/4 + 3\/((-42)\/g). Solve 3*c - 1 + 17 = -x*y, 3*c = -y - 13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 88 divide 215604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**2\/5 - 2134*y\/5 - 1138489\/5.\nAnswer: -(y + 1067)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 40, 108, 202, 334, 516, 760, 1078?\n\"Answer: 2*z**3 + z**2 + 51*z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 44, -16.8, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 4*k = -2*k - 3386, 0 = 5*t + 2*k - 8477. Suppose -1689*j + 2071200 = -t*j. What is j rounded to the nearest 10000?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 6*h**2 - 3810*h - 272933. What is s(700)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1048912690 rounded to the nearest 1000000?\nAnswer: 1049000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-120)\/(-64) - 3\/(-24). Solve -5*f + a*l = 6*l - 11, -l = 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8*6584\/4992 + (-12)\/234 - 6?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2312*k**2 + 2000*k**2 - 5461*k**2)*((-2 - 3 + 4)*(0*k + k + 0*k) - 3*k + 0 + 0).\nAnswer: 23092*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-4)*57\/19*(-72)\/27\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1699268, -6797079, -15293436, -27188345, -42481812, -61173843, -83264444?\n\"Answer: -n**3 - 1699267*n**2 - 3*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3.03 + -0.03. Let m = -87\/35 + 11\/5. Sort m, 1\/3, j.\nAnswer: m, 1\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 211169 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 + 3. Suppose -x - x + j = 0. Let a(r) = 0*r**2 + 4*r - 2*r**x + 0*r**2. What is a(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 2041 and -297?\nAnswer: 2338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.27164508488 and -20?\nAnswer: 19.72835491512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 74 and 2590?\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 895 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3\/80 + -59\/560. Suppose 0 - 5 = 5*s. Let u be (-20)\/9 + (s - -3). What is the nearest to u in -1, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 44, 41, 36, 29?\n\"Answer: -g**2 + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.25 - -1.75. Suppose 0 = 3*x - 0*x - 3. Which is the closest to 4?  (a) x  (b) f  (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/(-9) - 7953029903\/873. Round q to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15 - (29 + 3 - 17) - 3\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes after 11:19 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s = -21*s + 168. Does 7 divide 9\/((-72)\/s) - 41\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5*r**5 + 45*r**3 - 902*r**2 - r wrt r.\nAnswer: -300*r**2 + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 128115295 a multiple of 218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -85*r**2. Let p(c) = 5*c**2. What is -2*h(b) - 35*p(b)?\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 180f0 (base 16) in base 9?\nAnswer: 160153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 53070?\nAnswer: 2, 3, 5, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - 8 - -6*5\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the first derivative of l**5\/4 - 17*l**4\/16 - l**3\/12 + 21*l**2\/8 - 408. Factor y(n).\nAnswer: n*(n - 3)*(n + 1)*(5*n - 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -89, 2, -6, -179 in ascending order.\nAnswer: -179, -89, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 2*a**2 - 11*a + 5. Calculate n(7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6.678 >= -60002?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 852*t = 7610 + 297 - 1091 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -2*s**3 - 2*s**2 + 6*s - 5. Is k(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (180\/(-270))\/(2\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 0.8789313cm?\nAnswer: 8789.313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9394245 to the power of 1\/2, to the nearest integer?\nAnswer: 3065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -30?  (a) -0.4  (b) 0.05  (c) -3.4  (d) -4  (e) -12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 96 = 5*a - 189. Let z be (17\/a)\/((-88)\/1960). Let u = z + -5\/209. Calculate the common denominator of 55\/4 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.645365 to 2 decimal places.\nAnswer: 3.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3*(-28)\/24*20. Round y to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/(8\/2)*4. Let z be 34\/(-51) - u\/6. Let t be (z - -3) + (-5 - -8). Solve 23 = t*d - 2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0291090587 rounded to 3 dps?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-2715)\/(-362) + 1*-7)\/2. Factor -1\/2*v - 1\/4*v**2 + 0 + f*v**3.\nAnswer: v*(v - 2)*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -114847*p + 12475 = -114735*p - 2533 for p.\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 150 + -1648\/11. Suppose -2\/11*a - r*a**2 + 4\/11 = 0. What is a?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15643008 is divided by 2669.\nAnswer: 2668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 753 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 16 - e0e8?\nAnswer: -e0d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/((-16)\/24*4)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -773371\/5837 - -1500\/449. Let z = -129 - p. Let l(q) = -q + 6. Let w be l(8). Which is the closest to 1?  (a) -0.3  (b) w  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -59\/2245 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1076, -1061, -1024, -953, -836, -661, -416?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-31)\/(-6) + (-5)\/30. Suppose o = d*o + 12. Let a = 6 + o. Solve -4*i + 16 = -4*h, -10 - a = 2*i + 5*h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -3504.\nAnswer: -5\/3504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 4 = -5*s. Let v = 6 + 0. Suppose 0 = 3*x, -x + 2*x + v = 2*w. Calculate the lowest common multiple of w and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 26455\/14 or 1891?\nAnswer: 26455\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -6*l - 303 + 6*l**2 - 300 + 629. What are the prime factors of z(-7)?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 29074 + -29073.9951868. Round g to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 105685, 209599, 313513, 417427, 521341, 625255?\nAnswer: 729169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -5, -v + 3*x - 17 = -4. Let l(r) = 6*r + 8 - 3*r - v*r + 0*r**2 - r**2. Determine l(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2682.204 rounded to the nearest ten?\nAnswer: -2680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.06739457 rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 181 a factor of 88315511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence clww when four letters picked without replacement from {c: 3, l: 1, o: 2, a: 1, w: 5, y: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, -3, -0.3, -6\/181, 21 in descending order.\nAnswer: 21, 0.5, -6\/181, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + -5 - -6 - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -74 (base 9) to base 6\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 55600 (base 7) in base 8?\nAnswer: 33276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 20, 359, 914, 1679, 2648, 3815, 5174?\nAnswer: 6719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((sqrt(2) - sqrt(2)*2*2 - sqrt(2))*-6 + sqrt(10)\/(2*sqrt(125)))**2.\nAnswer: 58081\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25 + 107*f + 756*f - 17 + 0.\nAnswer: 863*f + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1250128553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 476178 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -6, -48, -2, 1 in descending order.\nAnswer: 5, 1, -2, -6, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in one tenth of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -85 divided by -3.\nAnswer: 85\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1936682 is divided by 69167.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is eighty-three thirds of a century in months?\nAnswer: 33200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 9*t**2 - 2*t + 9. What is the tens digit of x(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 - 2. Let l = 11 + -7. Suppose -2*f - 10 = -14. Sort l, f, v.\nAnswer: v, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 4*(-3 + sqrt(8) + sqrt(2) - -1*sqrt(2)*-5).\nAnswer: -14 - 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 51 in -1, -489.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9 - 2. Suppose -2*q = -i*q + p - 153, 0 = q + 4*p + 18. Let t = q + 43. Calculate the highest common divisor of t and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 2, 3, -20, 1737, 1 in decreasing order.\nAnswer: 1737, 4, 3, 2, 1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3380)\/52*(-10)\/(-50).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3319240 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5447 = 163*n + 231 for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6.97 - -8.0538. What is g rounded to 2 dps?\nAnswer: 1.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 14, 9, 2, -7, -18, -31?\n\"Answer: -o**2 - 2*o + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 23205180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**2 - 6*g - 8. Let j be l(-8). Let u = 38 + j. Suppose 4*t - 208 + 68 = 0. What is the highest common divisor of u and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -13 - -15. Find the first derivative of 4*c**2 - 7 + 2*c**s + 2 wrt c.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 3*u + 1)*(2*u**2 - 3*u**2 + 6*u**2) - 5*u**3 + 2*u**3 + 4*u**3)*(2 + 1 + 0).\nAnswer: 48*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 4162, -2.33, 3, -3, 2\/9 in decreasing order.\nAnswer: 4162, 3, 2\/9, -0.2, -2.33, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 10480 a multiple of 262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -4*k**2 + 5*k. Let c(g) = -6*g**2 + 7*g. Let q(r) = -5*c(r) + 7*x(r). Let v(z) = 4*z + 4*z**2 - 4*z. Give q(v(s)).\nAnswer: 32*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*i**4 + 60370900*i**3 + 182232278340500*i**2.\nAnswer: 5*i**2*(i + 6037090)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**1*o**(1\/6))**32 assuming o is positive.\nAnswer: o**(112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -3*h**2. Let l = -5 - -5. Let j(p) = p**2 - 7*p - 4. Let s be j(8). Let t(n) = s*n + l*n - 3*n. Determine t(r(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 2, k: 1, p: 1, e: 3}. Give prob of sequence kzzp.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -86977 - 39490*n + 86977.\nAnswer: -39490*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o + 3, -o = -3*h - 5*o + 3. Let a(v) = 2*v + 1. Suppose -k + 5*k = -3*n + 7, -2*n - 4*k = -2. Let d be a(n). Solve h*p - d = 9 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7156, 14381, 21606, 28831?\nAnswer: 36056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 172471015 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 874 * -0.1.\nAnswer: -87.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 469107 (base 15) in base 13?\nAnswer: 9109a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -1, 5, 362?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1542400 and 3600?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -394038 divided by 7297.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 56979883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -21.185 + 0.025. Let m = -0.16 - w. Let g = m + -17.3. What is g rounded to 0 decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 4*y + 1. Let m be (30\/(1 - 2))\/(-1). Suppose 0 = 12*d - 9*d - m. Suppose -7*r + 3 = d. Determine j(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3195.08 - -3143. Let d = g - -1.08. Let x = -51.3 - d. What is the third smallest value in x, 5, -1\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(275)*1*5 + 3 + (sqrt(275) - sqrt(275)*1)*6*6)**2*-2.\nAnswer: -13768 - 300*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 2, e: 1, m: 1, l: 8, y: 2}. Give prob of sequence vyve.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2*s - 2 + (2*s - 1 + 1)*(-2 + 5 - 9).\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-56)\/(-12) + 20\/(-4))*(2 + -8). Solve -3*d - b = d + 3*a, -d - 7 = 4*a for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the first derivative of -2*w**2 - 4 + 5*w**2 - 4*w**2 + 1. Determine r(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57 = 5*s + 4*y - 5*y, -4*y - 63 = -5*s. Suppose 0 = 30*c + s*c - 16646. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 1085\/372802?\nAnswer: 1085\/372802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-6)\/15)\/(10670\/50). Let h = i - -3215\/7469. Suppose -2*k + 1 = -3*k. What is the nearest to k in -0.5, -1\/7, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/((m*m*m\/m**(4\/5)*m*m)\/m))**(5\/6)*m**6\/m*m\/(m\/(m*m**(-2\/11)))*m)**(14\/5) assuming m is positive.\nAnswer: m**(2303\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -n**2 + 11*n - 12. Let x(c) = -c + 1. Let r = 89 + -29. Let b = -58 + r. Let q be (b - 1)\/((-1)\/(-2)). Determine q*d(l) + 22*x(l).\nAnswer: -2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -25120*s**6 - 8*s + 12290*s**6 + 32*s**2 + 12487*s**6 wrt s.\nAnswer: -41160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 14.19283 and 4.\nAnswer: 56.77132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1024 + z**2 - 20564*z**3 + 20685*z**3 + 1024.\nAnswer: 121*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 8*v**2 - v + 1. Let a = -19 - -46. Suppose 0 = -4*g + 25 + a. Calculate the remainder when g is divided by j(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.04 - -0.12. Let q = z - -6.92. Let k = 518 + -521. Which is the third smallest value?  (a) q  (b) k  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (6783983 - (-42 + 25))*-2*(-2)\/8. Round q to the nearest ten thousand.\nAnswer: 3390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 81 = -9*y + 9398582*r - 9398579*r, 2 = y - 4*r for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*s - 2*s + 2*s - s + 0*s + 3*s + (2*s - 3*s + 2*s)*(-1 - 1 + 4) + 5*s - 13*s - 16*s + s - 3*s - s + (2 + s - 2)*(4 - 5 + 0) + 0*s - 3*s + 0*s.\nAnswer: -25*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-71*f**2 - 12*f**2 + f**2)*(-158*f + 158*f + 45*f**3).\nAnswer: -3690*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes after 4:08 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of -27.7 and -38.25.\nAnswer: 1059.525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -7.4 > -3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14d5 (base 14) to base 13.\nAnswer: -18ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the third derivative of -1183*a**4\/6 + 2590*a**3\/3 + 13771*a**2. Find the first derivative of f(x) wrt x.\nAnswer: -4732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -5*l - 2. Let t be b(-12). Suppose 5*d = -x + 46, -5*d + x = -x - t. What is the lowest common multiple of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -317514 or -0.13?\nAnswer: -317514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2598 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2823*l - 1756*l - 1468*l)*(0*l**2 - l**3 + 0*l**2).\nAnswer: 401*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 23221 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 66 and 3799191.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 2034*k + 187141. Give b(-92).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (285\/6)\/(22287\/23460).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let s be (-24)\/(-20)*40\/6. Solve 0 = s*k - 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -2*r. Let x(v) = -v. Let k(z) = z**3 - 9*z**2 + 14*z - 1. Let q be k(7). Give q*x(i) - h(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-21)\/9 - (-8)\/(-12). What is the tens digit of m\/(-1) + 663\/17?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the second derivative of -s**5\/10 - 2*s**3\/3 + s**2\/2 + 21*s - 12. Let z(k) = -k**3 - 5*k + 1. What is 2*q(l) - 3*z(l)?\nAnswer: -l**3 + 7*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 11346 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6442 - -6834. Calculate the greatest common divisor of 1078 and s.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-5 + 219)*(357\/(-180) - -2) and -139\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 142\/3 - 48. Which is the closest to t?  (a) -0.3  (b) 1  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-4) + (-2)\/20.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(117)*3 - sqrt(117))*-6*1)\/(-4*sqrt(90)\/(sqrt(10)*-1)).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -301, -2\/87, -0.07, -2\/15 in decreasing order.\nAnswer: -2\/87, -0.07, -2\/15, -5, -301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -80 + 78 + 6\/(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2  (b) 1\/3  (c) 0.2  (d) 3  (e) 1.95  (f) 3\/7  (g) -1\/72\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 0.01, 4\/7, -4853 in increasing order.\nAnswer: -4853, -0.4, 0.01, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6202?\nAnswer: 2, 7, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3121622503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 92 (base 11) to base 4\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**2 + 1247676*c + 194586925122.\nAnswer: 2*(c + 311919)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {h: 2, c: 7}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 78943 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10.1, -1, -1\/4, -2, -0.1 in descending order.\nAnswer: 10.1, -0.1, -1\/4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 - -5. Let h be (-2 - 1) + v\/2. Suppose -5*b + 1171 = -b - n, 0 = -h*b + 4*n + 1168. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 6840, 21785, 44834, 75987?\n\"Answer: 4052*l**2 + 2789*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = -0*o + 16. Let q(x) = x - 6. Let d(l) = -l + 5. Let f(h) = -3*d(h) - 4*q(h). Give f(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + w + 509 = 0, 175 - 27 = x + 4*w. What is the highest common divisor of x and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 640 by 2.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 6, m: 2, y: 5, v: 1, g: 3}. Give prob of sequence myv.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gk when two letters picked without replacement from cdkkpkdgkkgggpcggg.\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8038?\nAnswer: 2, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -3, 83, 5 in ascending order.\nAnswer: -5, -3, 5, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2754 = 16*q - 5502. Calculate the remainder when q is divided by 104.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -105*(-10)\/6 - (-2 + 3). Let p be 0 + (y\/54 - 4\/18). Solve -b - 2 = 5*u + p, 0 = -2*b - 3*u + 4 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 106268727 to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/(-3)*(15\/2)\/(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 + (-4)\/(2016\/(-5994)) + 3 + -3.\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.037 + -2.063. Let q = -1.7 - o. What is the closest to 0 in q, 1, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -27, 5, 7, 2 in increasing order.\nAnswer: -27, 1, 2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that -o**4\/10 - 62*o**3\/5 + 3926*o**2\/5 - 35248*o\/5 - 86688\/5 = 0.\nAnswer: -172, -2, 14, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, 0.3, -0.07.\nAnswer: -12, -0.07, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 4*n - 11*n + 7*n + 5 + n. Let d be f(0). Suppose 0 = 13*z - d*z - 64. Solve -3*g + z = 4*a, -g + 3*g - 8 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11503 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1821 + 2172. Does 72 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 354 and 25743.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the second derivative of -1\/2*x**2 + 0*x**4 - 1\/6*x**3 + 0 - 21*x - 1\/10*x**5. Let d be p(-1). Solve -d*h - h = -6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 20*g**2 + 70*g - 7. Let c(x) = 7*x**2 + 23*x - 2. Let h(t) = 7*c(t) - 2*z(t). Find the second derivative of h(n) wrt n.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from agvpgggglagalbb. What is prob of picking 1 b and 1 g?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.079 + -0.0755. What is w rounded to 4 dps?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s. Let q(t) be the second derivative of -400*t**3\/3 - 270*t + 3. Determine x(q(p)).\nAnswer: -800*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*sqrt(2)*-2*5.\nAnswer: 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**3 + 22*x**2 - 2*x - 53. Suppose 2*c + 2 = 0, -4*c + 13 = -2*f - 27. Give j(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*w = 46*w. Which is smaller: w or 1\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.081 at most 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (24 + 195\/(-6) + (2 - -5))*(-262)\/(-3).\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11 + -11. Solve j*h + 4*h = 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 109328*d**3 + 1221*d + 39 wrt d?\nAnswer: 655968*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.504 + -0.5039994265. Round y to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3.4 * -0.14.\nAnswer: 0.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-65)\/3*(-440)\/572 + -18?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -25.12 + 26.12. What is the closest to c in 5, -13, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a. Let c = -10 - -6. Let r be 48\/28 - c\/14. Let y(o) = -o - 1. Let g(s) = -3*s - 4. Let n(q) = g(q) - 4*y(q). What is r*l(b) - n(b)?\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3892.71212 rounded to the nearest one hundred?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 311*x**3 - 2*x**2 + x + 1. Let u be v(1). Suppose n - 9 - 472 = 0. Suppose n = 9*q - u. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uunknnnknnnlna. Give prob of sequence lku.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 513191, 1026481, 1539975, 2053775, 2567983, 3082701?\nAnswer: 3598031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 2*b + 18. Let t be w(-9). Suppose t = 3*u + 3*c - 39, -u - 3*u + 28 = -2*c. Differentiate -45 + 63 - u*z**2 + 2*z**2 - 3*z**2 wrt z.\nAnswer: -20*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 14) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*c - 15*c = 22080. Does 23 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -1 + 7*l + 1 - 3 + 0. What are the prime factors of q(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 20 and 237082.\nAnswer: 2370820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ynmnxfk. What is prob of picking 1 m and 1 n?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 2*n**2 - 13*n + 5. What is the tens digit of l(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**3 + 9*w**2 - 10*w + 6. Let x be r(-10). Let i(f) = -7*f - 4. Let q(u) = -u. Let a(v) = x*q(v) - i(v). Let t(s) = -3. What is -2*a(z) - 3*t(z)?\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/(-5)*(-60)\/4. Suppose -25 = -i + g*i. Let u = 1 - i. What is the least common multiple of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 - 0. Suppose -4*r - 4*o - 2 = -18, -r - 2*o = -8. Solve b + b + g = r for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -5*k + 22. Let v = k - 11. Which is the third biggest value?  (a) 1  (b) -0.01  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10 - -22. Let w be 13\/n - (-7)\/(-21). What is the third biggest value in 1.9, w, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4 and -89670931.\nAnswer: 358683724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*s + s + 4 + 5*s)*(123 - 13 - 4) in the form c*s + q and give c.\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -14*d**2 + 34*d - 391. Determine b(8).\nAnswer: -1015","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*x + 8*x - 6*x - 143 = 0. Let u(z) be the first derivative of 25\/2*z**2 + 0*z - x. Let s(i) = -i**2. Determine u(s(g)).\nAnswer: -25*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -32581\/1452 - -2100\/121. Let z = -317 - -29163\/92. Calculate the common denominator of z and q.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 147 = -w + 4*w. Let o = w - 48. Let d be 3 + 0*o\/(-5). Solve d = h + 2, 2*c = 3*h + 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (22\/(-4))\/((-34)\/(-238)) and (2\/3)\/(4\/(-43))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j and 1 m when three letters picked without replacement from jjmmmmmmmmmmjmmmmjj?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = 3*u - 0*u - 2*r, -2*u + 3*r + 2 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -32*31\/(744\/18)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 3 = 5*f, -2*f - 4*k - 46 = -28. Is f at least as big as -36\/139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -94 - -100. Suppose 934 - 412 = 6*w. What is the remainder when w is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-18)\/30 - (-56)\/10. Let w = t - -2. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -15 + 19. Suppose 0 = u - d*p - 243, -4*u - 4*p + 877 = -p. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x - 3. Let v(r) = r + 14. Let n be v(-11). Let p be q(n). What is the second derivative of 0 + 2*m + p - 4*m + 3*m**2 wrt m?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -133*c + 8515. What is q(64)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most 1196793?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1487, 2972, 4457, 5942?\n\"Answer: 1485*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(352)\/(sqrt(968) + 1*sqrt(968)) - ((1*sqrt(528) + sqrt(528) - sqrt(528))*3)\/(sqrt(12) - -5*sqrt(36)\/sqrt(3)))**2.\nAnswer: 64\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 0.3  (b) 1\/4  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:57 AM and 10:50 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 81 divide 329196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 14547688?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l**3 - 124*l**2 - 608*l + 11791. Calculate f(-118).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1157 + -1157.08725. What is w rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 380 and 527?\nAnswer: 200260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 81*b**3*c**5 + b**3*c**3 + 2*b**3*c + 28*b**2*c**2 wrt c?\nAnswer: 4860*b**3*c**2 + 6*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2, 4, -5422?\nAnswer: -5422","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1738, 1764, 1826, 1942, 2130, 2408, 2794, 3306?\nAnswer: 3962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.261*-20.\nAnswer: 25.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the first derivative of -l**6\/19 + 26*l**5\/95 - 7*l**4\/19 - 8*l**3\/57 + 8*l**2\/19 - 237. Let b(f) = 0. What is f?\nAnswer: -2\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1536135, -3072267, -4608399, -6144531, -7680663, -9216795?\nAnswer: -10752927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the second derivative of -71\/2*v**2 + 0 + 0*v**3 + 7*v - 5\/12*v**4 + 1\/20*v**5. What is the first derivative of x(s) wrt s?\nAnswer: 3*s**2 - 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (4*(-5 + -1 + 6*(2 + sqrt(637)) + -5)*-3)**2.\nAnswer: 12096*sqrt(13) + 3302354","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 67*d**4 + 174685*d**3 + d - 227494618?\nAnswer: 268*d**3 + 524055*d**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(1\/15)*i**19\/i)\/((i\/i**(-12))\/(i\/i**(-15))))**45 assuming i is positive.\nAnswer: i**948","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6 - 1 + 0)*(s - 2*s + 0*s) - 1 + 1 + 6*s to the form w + a*s and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 245 - 652 = 39*o + 61 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 325 divided by 1\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 133\/3 + -44. Let i(k) = 21*k - 1. Let q be i(-5). Let s = 746\/7 + q. Which is the second smallest value?  (a) -0.5  (b) s  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 259 = 3*q + 22. Let v = 551\/7 - q. Let p = -11 - -9. Are p and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.7  (b) -4  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o - 3. Suppose 43*d + 5*x - 98 = 47*d, -5*x = 5*d + 55. Calculate a(d).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-1))**4*((n\/(n*n*n\/(n**(-1\/5)*n)))\/n)\/n*n\/(n*n\/(n*n**(1\/5))))**(-12\/7) assuming n is positive.\nAnswer: n**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8244941?\nAnswer: 8244941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 108377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1419975 and -27.\nAnswer: 1419948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -53, -145, -285, -467, -685, -933, -1205?\nAnswer: -1495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 150 - 150 = -62*q. Solve 3*h = -q*h - 0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -248710 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 37.22 and 6?\nAnswer: 223.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -1464 divided by 732?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -180542\/3 - -60181. What is h in -2\/3*h - k*h**4 - 4\/3*h**3 + 0 - 5\/3*h**2 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1133112312 + 1?\nAnswer: -1133112311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 34\/3 - 11. Let d = 1115 + -1114.97. Which is smaller: t or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -371 = 4*b - 463. Solve b*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by 1875.\nAnswer: 1\/1875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12*6\/126*63\/(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2210 - 121201202?\nAnswer: -121121222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in one quarter of a hour?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 67142.4+0.4\nAnswer: 67142.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:58 AM and 11:51 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.03 in 0.3, 0.4, -8.2, 7, -19?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the third derivative of 0*x**6 + 0 + 0*x + 18*x**2 + 0*x**4 + 1\/112*x**8 - 17\/60*x**5 + 0*x**7 + 0*x**3. What is the third derivative of t(i) wrt i?\nAnswer: 180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**3 - 6*i**2 - i + 4. Let v = 31 - 51. Let x = -14 - v. Let c be f(x). Do -2 and c have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes before 1:28 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r + 161 + 769 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rmrtwas. Give prob of sequence ssat.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:23 PM and 8:03 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (30*t + 62*t + 42*t)*(t - 2*t + 2*t).\nAnswer: 134*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3339 divided by -21.\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(60)\/sqrt(90)*-1*5)\/(sqrt(200)*-1 + sqrt(10)\/(sqrt(10)\/sqrt(2))).\nAnswer: 5*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/332 and 37\/4169837?\nAnswer: 16679348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = l - 6. Let m be (-10)\/(-4) + 1\/l. Let f(s) = -s + s**2 + 4 + s**m - 3 + 2*s**2. What is f(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sssccscccsssc.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.08, 0.06, 15, -5, -14.1 in decreasing order.\nAnswer: 15, 0.08, 0.06, -5, -14.1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let j be (-5 - (-694)\/(-8))*44. Let i = 677 + j. Round i to the nearest one hundred.\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -7*h + 5. Let r be (-11 - 120\/(-12))\/(h\/(-1)). Let l(i) = -4*i**3 + 4*i. Let k(p) = -p. Determine r*l(u) - 6*k(u).\nAnswer: 4*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 3*r + 2*r. What is the smallest common multiple of (24\/14)\/(8\/28) and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 4 = 4*g. Let n = 0.2 - 1.08. Let s = 0.9 + n. Which is bigger: s or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 3, 654, 22 in descending order.\nAnswer: 654, 22, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2563?\nAnswer: 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 8*p**2 - 4. Let h be -5 + 4 + (-16)\/(-2). Suppose m + 10 - h = 0. What are the prime factors of w(m)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -117*f**3 + 2*f**2 - 2*f - 4. Let o be p(-1). What is the highest common divisor of o and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -14 - 0. Let w = c + 8.2. Round w to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1370621.\nAnswer: 7, 103, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -33.5741 - 0.4259. Which is the nearest to 0.07?  (a) d  (b) 0.5  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f**2 - 2*f**2 + 0*f**2)*(-f - f + 3*f)*(1 - 2 + 2).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -29  (b) -8  (c) 9  (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 73077 - 73076.5. Let h = 0.02 - -0.38. Put d, 0.07, -1\/4, h in decreasing order.\nAnswer: d, h, 0.07, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (17*c**2 + 16*c**2 - 38*c**2)*(5 - 2 - 3 - 22*c) as p + o*c**3 + t*c**2 + l*c and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10.1249 - -0.0151. Let j = n - 9.14. Which is greater: j or -12?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10977 - -3*(-8)\/((-72)\/15).\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 2*z + 1. Let m(s) = 29*s + 4. Give -m(l) + 6*o(l).\nAnswer: -17*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q - 2*q - 4*q. Let b(v) = 10*v. Let f(h) = -3*b(h) - 7*n(h). Is f(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 18*o**2 - 246*o - 1900. Is 3 a factor of p(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -71*l + 10249*l**2 + 7457*l**2 + 68*l + 24735*l**2.\nAnswer: 42441*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 52346693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*r*x**3 - 1412*r*x - 19581*r + 11*x**3 - 2 wrt x?\nAnswer: 6*r*x**2 - 1412*r + 33*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r + 3. Let a = 174 - 127. Suppose 49 = a*u - 40*u. Calculate o(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes before 8:44 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -53\/310 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + i + 5 = -2, 4*i + 12 = 2*c. Suppose -4*z + 3*z + 2*o = -2, -5*o + 5 = -5*z. Let g = z + c. Let x(l) = l**3 - 4*l**2 - 2*l + 6. Give x(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0 + 7 - 10*(-6)\/(-12). Suppose -k*u + 32 = 3*g, -u - 4*g + 68 = 3*u. What is the remainder when 282 is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -827 - -827. Solve -25*w + 22*w - 6 = p for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 42.909 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 - 2*t**2 + 1 + 1 - 1 + t**2 + (-t - 4*t + 4*t)*(t + 0*t + t) + (-t - 4 + 4)*(12*t - 36 + 36) - 13*t + 4*t**2 + 13*t.\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ysjyycby. Give prob of sequence bs.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 4110 (base 8) to base 5\nAnswer: 31440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -383.8116 + -2857.53?\nAnswer: -3241.3416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**3 + 21*c**2 - 22*c + 36. Determine u(20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 + 82 = 5*x - 4*a, 0 = x - 2*a - 23. Let b = 50 - x. Solve -3*s = 2*t + 13, -2*s - 2*t - b = 3*t for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sqvssqqsqqqsqqsssqs. What is prob of picking 1 q and 2 s?\nAnswer: 108\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10001000101101000 + -111100000010?\nAnswer: -10010000001101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lf when two letters picked without replacement from fffl?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.08 + 120277?\nAnswer: 120277.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 148592?\nAnswer: 2, 37, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 161537559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the first derivative of -2*x - 3 + 0*x**3 + 0*x**2 - 5\/4*x**4. Find the first derivative of y(w) wrt w.\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -31 + 33. Let s(p) = 3*p + 4. Let y be s(6). Suppose 0 = -b*z + y - 0. 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 4.1736 micrograms in grams?\nAnswer: 0.0000041736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -195375.2004599 - 0.15?\nAnswer: -195375.3504599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 468710.9 millilitres to litres.\nAnswer: 468.7109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the second derivative of -2*d**7\/21 + d**3\/6 - 7*d. What is the second derivative of u(k) wrt k?\nAnswer: -80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2860)\/5005)\/(1\/(14\/20))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from eeie.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.034380042 rounded to four decimal places?\nAnswer: -0.0344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1680110247 to the power of 1\/3, to the nearest integer?\nAnswer: 1189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -901*p + 2108 = -1077 - 48172 for p.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*k**2 + 0*k**2 - 3 + 0*k**2 in the form m*k**2 + o + s*k and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1277 = 5*l + 3*h, -4*h + 4 = -3*h. List the prime factors of l.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*2*(-4*-4*(-1*(4 + sqrt(8)) - (sqrt(8) - 5*sqrt(200))))**2.\nAnswer: -942080*sqrt(2) + 10874880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*3*2840\/(-710)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 - 10 = -3*x, -4*x = -2*i - 10. Is 4 a factor of i\/((-5 - -3) + 27\/14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -7*f**2 + 184*f - 402. Give y(23).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9325534, -9325531, -9325528, -9325525, -9325522?\nAnswer: -9325519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*n - n + n)*(-3 + 4 + 0) + 5*n - 4*n + n - 147*n - 141*n + 411*n + (-2 + 2 + 1)*(n - 2*n + 0*n).\nAnswer: 129*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2\/12 + -4 + (-206248)\/(-48)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kykkyky. What is prob of sequence ykkk?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 54937\/9 - 6104. Suppose 4*q - 1 = 3*q. Which is bigger: q or a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 150125736 a multiple of 354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 2 - (-42)\/(-18))\/((-441)\/(-189)).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 10) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 75870 - 46814. List the prime factors of u.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**2 + 205*m. Let f(n) = -2*n**2. Calculate w(f(u)).\nAnswer: -4*u**4 - 410*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 20870 and 352703?\nAnswer: 3527030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -91\/5082200 and -8\/155.\nAnswer: 157548200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 73360 and 24104.\nAnswer: 1687280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence elgz when four letters picked without replacement from wzgegllggezjg.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8 - -5) + (9 - 5) - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 3*o = 41, -5*k + 5*o - 106 = o. Let c = k + 26. Suppose -c*d = -166 - 282. Does 20 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 14 + -15 - 3*-2. Suppose -4*z - v = -7, g*z - 2*z + 1 = -2*v. Suppose -z*l + l = -28. Does 14 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -874e3 (base 15) to base 12.\nAnswer: -188836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -51\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -17350201, -34700398, -52050595?\n\"Answer: -17350197*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -25 + 15. Let z be ((-8)\/m)\/(1\/5). Let k be (-19)\/(-1 + z + -2). Which is greater: k or -21?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i = -8, 2*f - 68*i - 120 = -65*i - 136 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -13 + 6 + 3*j - j**2 - 2*j**2 - j**3. Let s be w(3). Let l = s + 95. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4\/3*a**3 + 0*a - 2\/9*a**5 - 2\/3*a**4 + 16\/9*a**2 + 0 = 0 for a.\nAnswer: -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 113773 by -11.\nAnswer: -10343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -61 - 64 - 8*u + 125. Let b(a) = -5*a**2. What is b(g(w))?\nAnswer: -320*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5723*v + 3229*v + 367032 = 0 for v.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 + 5. Suppose 14*h + 40 = 66 + 30. Suppose -10 = v - i*o + 6, -15 = 3*v - h*o. Let k(l) = 3*l**3 - 2*l**2 - l. Calculate k(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that -2*i**5\/7 + 4922*i**4\/7 - 90786*i**3 + 17291150*i**2\/7 + 260278288*i\/7 + 446229144\/7 = 0.\nAnswer: -9, -2, 73, 2326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 269921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6\/(-27)*(-29)\/2. Let u = f - 17\/9. Put u, 1\/2, 3\/4 in increasing order.\nAnswer: 1\/2, 3\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 137619359 by -1049.\nAnswer: -131191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n**3 + 5*n**2 + 2*n - 4. Let m = -42 + 37. Give x(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -3*(-2)\/(-3) - 0. Let m = 5 - j. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 412632*h**3*u + 14*h**3 + 18999*h wrt u?\nAnswer: 412632*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 2*y - 2. Is u(10) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xsaxjjxx. What is prob of sequence xj?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3560?  (a) 3  (b) 543  (c) -0.4  (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -565  (b) 5  (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 138652 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*g**3 - 1 + 1 + g**2)*(3*g - 6*g + 2*g + 1 - 1 - g + (-5*g + 2*g + g)*(1 + 1 - 1) - 6*g + 10 - 10 + g + g + g).\nAnswer: 14*g**4 - 7*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -12044331 divided by 5\nAnswer: -12044331\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (4520\/120 - 36)\/(75\/18)*155\/2\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14, -32, -58, -92?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (136\/68)\/((-16)\/(-2)). What is the fourth smallest value in -1\/8, -0.3, 221, c?\nAnswer: 221","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -7644200 - 3*m + 7644200 - m. Suppose -4*w + 4*j = 4, -21 - 1 = -5*w - 4*j. Let y(p) = 4*p**2 - 3*p**w + 4*p**2 - 4*p**2. Calculate y(x(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = 3*s + 6*z, 5*s - 4*z - 116 = -79 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1543 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 921*m**6 - 143*m**5 - 2*m**2 - 23*m + 810.\nAnswer: 110520*m**3 - 8580*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 894*c*g + 345*c - 366951*g + 1 wrt c?\nAnswer: 894*g + 345","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 61\/6 - 10. Let c(q) = q**3 + 19*q**2 + 76*q - 13. Let y be c(-6). What is the third smallest value in -1\/2, 2, y, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 5*t = -85, -t + 25 = -4*y + 6*y. Calculate the greatest common divisor of y and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -107 + 105. Let r(b) = -b - 2. Suppose -3*j + 4*j = -2. Let q(o) = 1. Let d(m) = j*q(m) + z*r(m). Give d(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 7 = 15. Suppose -19 - 16 = -4*g - 3*c, -4*g - c + 25 = 0. Suppose g*y + y + 12 = 0. Is q less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -326*k + 1749*k - 1381*k - 230*k.\nAnswer: -188*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-6*(-4)\/6)\/2. Let j(b) = -8*b**2 + 3*b + 3. Let o = 8261 + -8258. Let a(x) = 7*x**2 - 2*x - 2. Determine o*a(i) + y*j(i).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -89\/28 - -15\/4. Factor -2\/7*k + m*k**2 + 2\/7*k**3 - 4\/7.\nAnswer: 2*(k - 1)*(k + 1)*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*(-3 - (2 - 1)*-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4202081 is divided by 14390.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/p**1)**(-10\/7) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 16) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:40 AM and 6:42 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:06 AM and 1:18 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 159692042?\nAnswer: 2, 1151, 69371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -23 - ((-127417)\/1081 - -95)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(847) - (-5*sqrt(847) + sqrt(847))) + 0)**2 + 0.\nAnswer: 21175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 - -212?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38060036?\nAnswer: 2, 7, 47, 28921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -k + 2 - 2 + 2*k - 6*k + 3*k + (k - 2 + 2)*(-2 + 5 - 2) - 2*k - 4*k + 4*k - 3 + k + 3 + (1 - 3 - 1)*(0 + 1 - 3)*(-602*k + 1089*k - 1643*k).\nAnswer: -6938*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1 - -2)*200\/15. Suppose -5*o = -0*o - d. Let s = o - -9. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15*9\/(-1395))\/((-3)\/2).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2853 + 2858. Solve 5*z + 6 = -4*s - 11, -2*s - r = -z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1009 + 597. Let p = z - -769. What are the prime factors of p?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -250*c + 17. Is v(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the first derivative of 8*j**3\/3 - j**2\/2 + 4. What is the tens digit of f(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1009145876.\nAnswer: 2, 252286469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 63647814 divided by 10607969\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-390)\/(-91))\/(176\/175 - 1). Let j = w + 1068. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.008 + -109.008. Let z = c - -109.3. Let f = 2\/29 - 72\/203. What is the closest to 0 in z, 0.2, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(119) - 1*(sqrt(119)*1 + sqrt(119)))\/sqrt(7) - ((-1*sqrt(153))\/sqrt(9) + -2*sqrt(1088))) + -2)**2*3.\nAnswer: -192*sqrt(17) + 13068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 164 = 3*y + 6*v, 5*y + 2*v = 268. Suppose 4*h + 688 = 5*o, y = -4*h + 4*o - 640. Is h\/(45\/(-10) - -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*w + 40*w - 234090 = 0. List the prime factors of w.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = 3*m, -2*m - 4*k = m - 18. Suppose n - 4 = m*n. Sort n, -5, -2 in descending order.\nAnswer: -2, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-6)*((-12)\/4)\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(8)*-3 - sqrt(8)))**2 - -3*sqrt(8)*-6 - ((sqrt(6)\/(sqrt(6)\/sqrt(2)) + -3)**2 + (1 + (sqrt(288) + sqrt(288) + 0 - sqrt(2)))**2).\nAnswer: -558 - 76*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 170\/31 + -1090\/651. What is the common denominator of m and 64\/135?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 466*h**2 + h - 926*h**2 + h + 462*h**2 in the form d*h + l*h**2 + z and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -0.1508 * 1264\nAnswer: -190.6112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from urzrzzzuozzhrrraz. What is prob of picking 1 z and 1 a?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -19.7 - -3.1. Let u = w - -20.55. Let d = -0.05 - u. Which is the smallest value?  (a) 0  (b) d  (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -2, 4, -2255 in descending order.\nAnswer: 4, -2, -5, -2255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 243 - 21*w**4 + 189 - 29*w**2 - 2*w**3 + 57*w**2 - 28*w**2 with respect to w.\nAnswer: -84*w**3 - 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 3878*w**2 + 64*w**2 - 27 + 7.\nAnswer: 3942*w**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 373*t**5 + 7*t**4 + 3*t**3 + 18*t**2 - 3786.\nAnswer: 22380*t**2 + 168*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000030135334 to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 353 minutes after 5:26 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1811 - -186)\/65 - (1 - 73)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1531 + -3 - -5 - (-4 - -7). Let t = -1053 + f. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 379485 and 1620.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1584319?\nAnswer: 11, 73, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(57\/(-76)*(-16)\/(-54))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 22\/5 - 69\/10. Let z = -2329.21 + 2329.17. What is the biggest value in h, 0.2, 0, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t**(2\/69))\/t)\/t*t*t*t*t\/(t**(-24)\/t*t)*t)\/(((t*t**(-1\/3)*t)\/t)\/t**(2\/21)) assuming t is positive.\nAnswer: t**(13262\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -106  (b) 0.04  (c) 2  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 114713701?\nAnswer: 3119, 36779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*r**2 + 36*r**3 - 1 + r + 7*r**2 - 34*r**3 + 61*r**4 - 16*r**2 - r**2 as i*r + w*r**2 + j*r**3 + d*r**4 + g and give d.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, 5, 4, -1139 in descending order.\nAnswer: 13, 5, 4, -1139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (35\/(-5))\/(9\/(-9)). Solve -4 = -3*j + w*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 2*k**2)*(-2*k**2 + 2*k - 2*k) + 194*k**2 - 194*k**2 + 9*k**4 + 0*k**4 + 0*k**2 - 2*k**4 - k**2.\nAnswer: 3*k**4 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -52 + 225. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -904 - -2307. What is the greatest common divisor of k and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 998651?\nAnswer: 998651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -58, -113, -168?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - -5 - -6) + -11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/(-72) - 1\/(-4)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the second derivative of -18 - 2\/21*h**4 - 2*h + 1\/140*h**5 + 0*h**2 + 1\/6*h**3. Factor z(l).\nAnswer: l*(l - 7)*(l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-1\/12)*y*y*y\/(((y\/y**(-20))\/y*y)\/y) assuming y is positive.\nAnswer: y**(-205\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 798397511 to the power of 1\/2, to the nearest integer?\nAnswer: 28256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (9*-2)\/(10\/(-5)). Suppose 6*c = -t + 3. Let o(x) = x**3 + 2*x**2. Let j be o(c). Is j less than or equal to -2\/107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 124908539 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: What is the value of (-23 - -2) + -29 + 28 + 16 + -79?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3425 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -74373 (base 10) to base 14\nAnswer: -1d165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:36 PM and 1:53 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -72*g*s**3*u**2 + g*s**3*u + 150*g*s**3 - 2*g*u + 3*s**3 wrt u.\nAnswer: -144*g*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23 = -36*w + 157 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.14*-60567.\nAnswer: -8479.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*h**2 - 38*h + 37*h - 4*h**4 - h**4 + (0*h**3 - 5*h**3 + 4*h**3)*(2*h - 1 + 1) to l*h + t + a*h**2 + f*h**4 + i*h**3 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -436*y**2 + 30*y - 76. Let i(a) = 581*a**2 - 39*a + 101. Calculate -10*i(d) - 13*m(d).\nAnswer: -142*d**2 - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -31503\/153461 - 5\/1993. Are f and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*b**4 - b**4 + 2*b**4)*(2 - 6 - 9)*(-4 + 6 - 48) to j*b + l*b**3 + r*b**4 + y*b**2 + u and give r.\nAnswer: -1794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -27196, -3, -5, -8, 2 in increasing order.\nAnswer: -27196, -8, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 21?  (a) -2\/25  (b) -2\/3  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -56 + 186. Let a = 130 - i. Solve -3*m + 0*m - p + 1 = a, -4*m - 2*p = -2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2212 - -21?\nAnswer: 2233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 463 is divided by 250.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*m - 242 = -866. Let x be (270\/40)\/((2\/m)\/1). Calculate the highest common divisor of 648 and x.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 17*l - 279. Let t be c(23). Differentiate t*v - 186*v - 144*v + 2 wrt v.\nAnswer: -218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 110983*h - 654111*h - 394623*h.\nAnswer: -937751*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**4\/7 + 920*f**3\/7 - 106716*f**2\/7 + 210680*f\/7 - 104882\/7.\nAnswer: -2*(f - 229)**2*(f - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*m + 25*m + 0*m)*(0 - 3 + 2).\nAnswer: -31*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2687 (base 11) to base 4.\nAnswer: -312123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 1305390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.1?  (a) -3\/5  (b) -1\/5  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1765?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = -f + 4*r - 140, 2*r = -10. Calculate the remainder when (-6)\/2 - f\/5 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 62944*m**2 + m - 2144887.\nAnswer: 125888*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 965 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y**3 + y**2 - 2. What is the units digit of a(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b = i - 3*b + 9, 1 = -i - 5*b. Suppose q = -0 - 2. List the prime factors of i*(q - 15\/(-9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k = -10, 13*k + 9 + 0 = 5*b + 20 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 3*q - 5 = 5*z, 3*q - 10 = -5*z. Suppose 5*v - 3*x + z = 6*v, 0 = 5*v - 5*x - 45. Solve 5*j - 22 + 2 = -s, 4*j + v = 4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 9 + (2\/(-3)*9 - -3). Suppose -3*u - v = -51. Solve -2*n - 2*n - 3 = -w, -2*n + u = 5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -70776 = -5*a + 3*q, -5*q - 118407 + 5165 = -8*a. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 3*h**3 + 0*h**3 - 1 - 9*h - 2*h**3 - h + 9*h**2. Let n be i(-10). What is the tens digit of 36\/(-24)*(n + -41)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/18 and 6\/(-4) + 128\/(-72).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -21*a**2. Let k(m) be the third derivative of -7*m**5\/60 - m**3\/2 + 35*m**2 + 6*m. Give k(d(i)).\nAnswer: -3087*i**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 49 + -52. Let u = 0.11 + 0.09. Let m be 4\/(-14)*(-3 - -2). What is the closest to u in 2\/3, m, w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000048116 rounded to 7 dps?\nAnswer: -0.0000481","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -30 * -8.\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8669 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t**3 + 218*t**2 + 349*t - 76085. What is g(218)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 17*h - 65. Let q be x(4). What is the third derivative of 46 - 86*z**q - 56*z**2 - 45 + 43*z**2 wrt z?\nAnswer: -516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ama when three letters picked without replacement from {a: 2, m: 4, s: 3, h: 2}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000234734565 rounded to 6 decimal places?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8 - -32. Suppose b = 5*q - 46. Suppose 0 = -5*d - q + 49. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3\/821354 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**0*o*o)**(1\/6)*(o*o**(-4\/9)*o)\/o*o*o*o\/(o\/(o\/(o\/(((o**(-11\/4)\/o)\/o)\/o)))) assuming o is positive.\nAnswer: o**(-103\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bcbibcqbbqbb. What is prob of picking 1 i and 1 c?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2992 + 3082. Calculate the highest common factor of 765 and z.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t - j - 4, t - 4*j = -2*j. Solve -2*s - 4 + t = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -2*m**2 + 197*m + 2052. Let w be b(108). Solve 4*q = t - 16, -2*t + 18*q - 14*q + 16 = w for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 1012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rk when two letters picked without replacement from kkrrr.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -31 - -48. Let z(t) = -9*t**3 + t + 1. What is the remainder when 2\/(1\/(y + -1)) is divided by z(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1095\/2 + -565. Let r = v + 67\/4. Let k be 1\/(-6) + 2\/(-4). What is the closest to k in 1\/4, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 211*q - 1648 = -201*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 2*l + 17 - 3)*(-4*l**2 + 6*l - 6*l).\nAnswer: -8*l**3 - 76*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-3 + 188\/4)*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 (base 7) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q + 8. Let r = 53 + -45. What is k(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11000110011011101000110 + -100100?\nAnswer: 11000110011011100100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v + 5*x = 8, 0*v + 2*x = 2*v + 14 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 333464795 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = n - u + 75 - 81, -2*u - 9 = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 16 = -4*m. Is m less than or equal to 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:53 PM and 10:01 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 599*g**2 - 204*g**2 + 784*g**2.\nAnswer: 1179*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/7  (b) -0.3  (c) 75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:48 AM and 2:55 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 232*v**3 - 2*v**2 - 3*v - 2. Let p be s(-2). Let n = 12986\/7 + p. Let q = 3082 - 30853\/10. Find the common denominator of n and q.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -82 = -19*n + 13. Suppose -4*p = -g + 591, 4*g - 1731 = n*p + 611. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 8770 = -r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 121*o + 217*o - 41*o + 15250 = -8*o for o.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 times -29202727?\nAnswer: 146013635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -4\/7  (b) -3\/7  (c) -1\/4  (d) -2\/17  (e) 0.043  (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-2)\/20 - 23410\/(-100)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -402, -803, -1202, -1599, -1994, -2387?\nAnswer: -2778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2, -8.57, 3?\nAnswer: -8.57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 - 2. Let g be (6\/45)\/((-252)\/567). Which is the closest to f?  (a) g  (b) 5  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q - 7*q + 0*q)*(0 - 23 + 3) + 2*q + 2 - 2.\nAnswer: 122*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -46 - 14. Let m = f + 63. Suppose 5*s = m*s + 76. Is s a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 891573 take away 124?\nAnswer: 891449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 55*c*x**4 - 32*c*x**2 + 5*c*x + 3*x**3 wrt x?\nAnswer: 1320*c*x + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - -3 - (-13 + 7) - 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 328168 is divided by 162.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 493 - 272. Let q = -221.11 + n. Which is the third biggest value?  (a) -4\/5  (b) q  (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-7)\/c)**30*(c*c\/(c\/(c*c**6)))**(2\/73) assuming c is positive.\nAnswer: c**(-17504\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-18407 - 4*s - 6*s + 18398)*(0*s**2 + 3*s**2 - s**2 + (5*s + 0*s - 3*s)*(-5*s + 3*s + 4*s)) as t + c*s + m*s**3 + i*s**2 and give i.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 34.6 - 74. Let z = -0.96 + m. Let y = z - -41. What is y rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 1  (b) 0.4  (c) 392  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that 2*v**5\/7 + 4*v**4 + 46*v**3\/7 - 4*v**2 - 48*v\/7 = 0.\nAnswer: -12, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3.3 - 16.3. Let a = 12.24 + -0.24. Let r = a + q. What is the second biggest value in -0.5, 2\/5, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-30)\/((-10)\/2) - 3. Suppose 0 = 3*r - g*c - 9228, -3056 = -r - 3*c - 0*c. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = -2*z. Suppose 0 = s - 1 - z, -s = -2*d - 3. Let h be (-4 - -5)\/(d\/(-4)). Solve 0 = 2*j + 2*j + h for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 290512.2 years?\nAnswer: 290.5122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from kkkkkukvukukkkkkkuku.\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 333\/(1 - -2)*15\/((-675)\/(-2235)). What is the highest common factor of 74 and r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6336 less than 0.01189575?\nAnswer: 6336.01189575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u\/(u\/((u**1\/u*u*u)\/u))*u)\/(u*u**(1\/4)))\/(u**(-1\/5)\/u**(4\/3)))\/(u**0*u*u**8\/u)**(1\/8) assuming u is positive.\nAnswer: u**(77\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a - 1. Let r(o) = -12*o - 11. Let v(z) = -2*r(z) + 22*y(z). Let g(n) be the third derivative of -n**4\/8 - 3*n**2. What is -5*g(u) - 6*v(u)?\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by -2583.\nAnswer: -4\/2583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 352\/5 - 71. Let f = -0.086 - -1.086. Which is the closest to -1\/5?  (a) 0.3  (b) i  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 64\/111 and -38\/93?\nAnswer: 3441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**3 - 27*q**2 + 167*q - 139. Give l(7).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -395b50 (base 14) to base 10.\nAnswer: -1975162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 + -0.2. Let m = 23 + -36. Let s = -12 - m. Which is the biggest value?  (a) t  (b) 2\/9  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62 = 8*p + 30. Solve -3*l - p = -1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 21 - 46. Let n = 53 + s. Let u = -26 + n. What is the nearest to 0.2 in -2, -1, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-2 + sqrt(847)).\nAnswer: -66*sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -5*n**2 + 507*n + 619. Give g(103).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4728\/13 + 364. Factor -s*y - 2\/13 - 2\/13*y**2.\nAnswer: -2*(y + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2923*u**2*z**2 - 4*u**2*z + 65795*u**2 + 7*u*z**2 - 6*z**2 wrt z?\nAnswer: 5846*u**2 + 14*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 266 and 1022.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -81781 bigger than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 356 minutes before 3:06 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 251*l = 62*l + 2811186. Is l a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.25  (b) -5\/4  (c) -36  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -11691733*d**2*k**5 + 8728*d**2 - 361*d*k wrt k?\nAnswer: -233834660*d**2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3004 - 5613 + 504 = -305*r - 122*r for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 times 3162\nAnswer: -948.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -7*n**2 + 2*n + 8. Let a(h) = h**2. What is 6*a(x) + s(x)?\nAnswer: -x**2 + 2*x + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -191 - -66. Let y = -144.96 - c. Let d = y + 19. Round d to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 133855?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 579 - 579.0001291. What is s rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -386 or -387?\nAnswer: -386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u**2 + 13*u + 214. What is the remainder when x(-7) is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -j - 4*f, j - 2*f - 6 = -0*j. Let b = -1 + j. What is the smallest value in b, 2\/21, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 489583?\nAnswer: 17, 31, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h = 2*n - 2, 5*h = 2*n - 14 + 9 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -45 - -51. What is the remainder when 100 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-5)*((s\/s**(-5))\/s)\/s*(s\/(s*s*s\/s**(2\/3)*s))**5)\/((s**(-3\/7))**43)**42 assuming s is positive.\nAnswer: s**(2284\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 865378144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 24 and 469164?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r + 2*d = 3*r - 0*r, -2*r = 2*d for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*o - 4*o - 4*o)*(-4 + 3*o**2 + 4) + (-o + o - 2*o)*(-4*o**2 + 0*o**2 + 2*o**2).\nAnswer: -11*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -25 - (-22 - (9 + -22))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/3)\/(2\/(-11 + -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u - 95*j = -292, -7*j + 5 = -4 - 5 for u.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8*m**4 - 15*m**3 + 39*m**2 + 2*m.\nAnswer: 192*m - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(2\/9))**8)**(4\/15)\/((l**(-3\/7))**(2\/9))**(-7) assuming l is positive.\nAnswer: l**(-26\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (22\/(-242))\/((-175)\/275)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-77062)\/5)\/(-1) + (-6)\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2741386350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 208735464?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -6*y**2 - 1642*y - 4. Let g(p) = -3*p**2. Give b(g(h)).\nAnswer: -54*h**4 + 4926*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 71*d**2*p**2 + 41899*d**2*p + d**2 + 373385*d*p**2 + d*p wrt d?\nAnswer: 142*p**2 + 83798*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 81769 + -36131. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19*d - 8*d + d)*(4*d**2 - 5*d**2 + 5*d**2)*(-1 + 2 + 0).\nAnswer: 48*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 42*r + 3*r**3 - 103*r + 58*r - 5 - r**2. Let f(n) = -3*n**3 + n**2 + 2*n + 4. Calculate 5*f(d) + 4*y(d).\nAnswer: -3*d**3 + d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.12 - -1.02. Let t = 0.4 - y. Sort t, -1, 2 in increasing order.\nAnswer: -1, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 284237543 to the power of 1\/3, to the nearest integer?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t + 279730 = 279722, 2*b + 3*t + 6 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 168 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**3 + 2*k + 4. Suppose -4*l + 5*l = 3*h - 39, -3*h = -2*l - 75. Let s = -32 - l. Let g(c) = -c**3 - 2*c - 3. What is s*g(o) + 3*i(o)?\nAnswer: -o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**3 + 192*u**2 + 792*u + 800.\nAnswer: -2*(u - 100)*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11 - 7. Let f = c - 4.4. Let y = 587\/24 + -73\/3. What is the third biggest value in y, f, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*o**2 - 6*o**2 + 3*o**2)*(2 - 5 + 1) - 7*o**2 - 44*o**2 - o - 45*o**2 + 97*o**2 + 2972 in the form j*o + p*o**2 + y and give y.\nAnswer: 2972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -i**3*p*y**2 - 2*i**3*y**2 - i**3*y + 12*i**3 + 2*i**2*p*y**2 + i**2*p*y + 7250*i*p*y + p*y**2 wrt i.\nAnswer: -6*p*y**2 - 12*y**2 - 6*y + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -6*v + 19. Let a be z(4). Let q = a + 5. Suppose -52*g + 49*g + 195 = q. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**2 + 21*i + 91. Let x be t(-14). Let a be 6\/(5 + -3)*x\/(-21). Let j = -2.1 - -2. What is the third smallest value in a, -0.3, j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 773471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 26 - 20. Let g(s) = -5*s**2 + 179 + 12*s**2 - 173 - d*s - 7*s**3. Let z(b) = -6*b**3 + 6*b**2 - 5*b + 5. Calculate -5*g(o) + 6*z(o).\nAnswer: -o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -11*u**2. Let l(h) = -3*h. Give q(l(w)).\nAnswer: -99*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -217.9433 + -0.0567. Let i = t + 220. Is i < -2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the second derivative of 7\/2*s**2 - 13*s - 2*s**3 + 0. Differentiate o(l) wrt l.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 634 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110000110100101 - -10?\nAnswer: -110000110100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + p + 180 = w, 0 = 4*w - 4*p - 360. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u**3 + 2965*u**2 + 23435*u + 20475 = 0 for u.\nAnswer: -585, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 875 a factor of 916267294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7176 and 62376?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 557647, 1\/2, 1\/6 in decreasing order.\nAnswer: 557647, 1\/2, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 870, -0.5, -1, -4, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ne when two letters picked without replacement from {b: 1, e: 11, n: 1, f: 1, s: 2}?\nAnswer: 11\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -23056, -23040, -23010, -22960, -22884, -22776, -22630?\n\"Answer: g**3 + g**2 + 6*g - 23064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 149470 + 6*t**3 - 56*t**3 - 49*t**3 - 74730 - 11*t**3 - 74738.\nAnswer: -110*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/9 in -1\/269, 9, 1\/8, 29?\nAnswer: -1\/269","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1152)\/(-612) + 4\/34. What is the biggest value in 10, -1, n, 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g - 48 = -4*u - 4*g, -3*u + 46 = -2*g. Is 15 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-102)\/144 - (-3)\/(-8) and -89\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**2. Let w(a) = 1763*a**2. Determine f(w(v)).\nAnswer: 3108169*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fd when two letters picked without replacement from {o: 3, j: 2, n: 1, d: 8, l: 1, f: 5}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.055  (b) 1\/304  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (t**3 + 5 - 5)*(t + 4*t - 6*t) - 2*t + 4*t**4 + 2*t + 40 - 40 - 8*t**4 to the form c + k*t**3 + u*t**2 + i*t + w*t**4 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -557835\/460564 + -3\/8857. Let k = w - 20\/13. What is the common denominator of -19\/16 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -37931\nAnswer: -2\/37931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -13276*m - 8046. Let d(h) = -6638*h - 3994. Let s(c) = 5*d(c) - 2*z(c). What is the first derivative of s(t) wrt t?\nAnswer: -6638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-16)\/48*(-6)\/(-8)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 12 = -4*f, -2*k - 2*k = -f + 3. Let p(n) = -3*n + 3. What is p(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:02 AM and 2:17 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -70 + -5. Let q = j - -77. Solve -b = q*b - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*f + x = 11*f + 2876, 5*f - 4*x - 14416 = 0. What is the thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8.199 + -8.2. Let z = -0.000965 - k. Round z to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34017897539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 1*sqrt(147))**2 - (-1 + sqrt(27)*3).\nAnswer: 5*sqrt(3) + 149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 46\/6 + 1\/3. Let s(r) = -2*r**3 + 5*r**2 + 4. Let y(t) = -8*t**2 - 3*t**3 - 19 + 21 + 6*t**3 + 3 - 11. Give b*s(u) + 5*y(u).\nAnswer: -u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 6 - 2 - (-4 - -4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*a + 3*a + 37 = -4*l, -5*a + 25 = 0. Let s(g) = -2*g - 8. Let c be s(-6). Suppose -4 = 4*v - 8*v. Sort v, l, c in ascending order.\nAnswer: l, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.264, 0.1, -0.1, 1\/2, -1 in increasing order.\nAnswer: -1, -0.264, -0.1, 0.1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 3166351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000307019322 to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**3 - 21*c**2 - c + 28. Let x be k(21). Which is greater: 4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -x - 14, -2*v + 34*x = 35*x - 31. Solve -5*q = -15 + v for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 2*d**2 + 8*d - 5. Let v be c(-4). Let l be (-170)\/51*24\/v. Solve -5*n - r - l + 44 = 0, -4*r = -n - 7 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 23012737 or 23012746?\nAnswer: 23012746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000159 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the second derivative of 2*u**3\/3 - 16*u**2 - 11*u. Let z be k(9). Find the first derivative of -4*x**z + x**4 - 7 + 0 + 11*x**4 wrt x.\nAnswer: 32*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 115 - 61. 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: What is the tens digit of (-4)\/(12\/(-141))*(2 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -22*q**2 - 132*q + 2. Let r be z(-6). Solve 3*o + 2*w = 5, 4*w = -0*o - r*o - 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -395829, -1583201, -3562165, -6332727, -9894893, -14248669, -19394061, -25331075?\n\"Answer: -w**3 - 395790*w**2 + 5*w - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*r - 126*r + 95*r + 100*r**3 - 103*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6.1 - -8. Let q = 1.943 - z. What is q rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 4*o + 6 = 0, 3*n = -2*n + 3*o - 4. Calculate the remainder when (n + 1)\/((-2)\/50) is divided by (9\/18)\/((-2)\/(-52)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f and 1 i when three letters picked without replacement from giggiififggfgii.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 18 + -13. Let s = -20 - -23. Let u = s - z. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30325479.\nAnswer: 3, 61, 165713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -487613*r - 4388527. Determine h(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 12 and 34836.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 3 + 5*i**2 - 6*i**2 + i + 0. Let o be g(3). Let q = 9\/2 - 23\/6. Put q, o, -2\/17 in decreasing order.\nAnswer: q, -2\/17, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 814 + j**2 - 1018 - 2094.\nAnswer: j**2 - 2298","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 7\/62, -2\/5, -1\/3, -3?\nAnswer: 7\/62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 44525 + 132?\nAnswer: 45101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 2249, 4562, 6959, 9440, 12005?\n\"Answer: 42*y**2 + 2187*y + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 88255331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.047 and -411.\nAnswer: 19.317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -57, 13, 1\/10, 2\/13, -2\/2531, -0.1?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (3\/6)\/(14\/8). Let g be (2\/(-36))\/((-23)\/(-69)). What is the nearest to -1 in g, -5\/3, z?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 175705\/11 + -15973. Suppose -3 = z, -2 = 3*m - 2*z + 7. Which is the third smallest value?  (a) m  (b) 2\/7  (c) -0.5  (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t - 11684 = 3*m - 11702, -20*m + 163 = -t for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 2, m: 2}. Give prob of picking 2 j.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 13381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 129060793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1061 is divided by 366?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2\/13  (b) -16\/11  (c) 0.05  (d) 14\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:30 PM and 6:46 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 7040851087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -4*d - t + 12, -3*d = -t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1774 + -1334. List the prime factors of y.\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 76482382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-17940)\/190762*(-1 + 2) - (93\/(-33) + 3).\nAnswer: -8\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = 4*w + 7. What is the smallest common multiple of w and 0 + (-1 - -3 - -9)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.14 - -0.06. Let w = 4275 - 4279. Which is the third biggest value?  (a) y  (b) w  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(12\/11)\/y)\/(((y**1*y)\/y)\/y*y) assuming y is positive.\nAnswer: y**(-10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 7*45\/252*2*-2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5794 is divided by 72.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1065688800 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -0.3*-44\nAnswer: 13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*h + 4*h + 6. Let q be (h\/9)\/(5\/(-90)). Let c = 889\/4395 + -2\/879. What is the third biggest value in c, -1\/6, q?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1276508 (base 11) in base 7?\nAnswer: 24511561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-8)\/(-4) + 4)\/(3\/(-4)). Let p(q) = -2*q - 5. Determine p(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, u: 3, k: 2, s: 2, b: 3, q: 1}. What is prob of sequence bcq?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (4\/8)\/(16\/(-136))*-4\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1063\/15 - 71. Let s = 2.92 - -0.08. Which is the third biggest value?  (a) s  (b) y  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1016650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f**2 - 4*f. Let n be s(5). Let a = n - 2. Let u(p) = -p - p + a*p. Let j(t) = -3*t. What is j(u(y))?\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 255 is divided by 134.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the second derivative of -8*f + 0 + 0*f**5 + 1\/50*f**6 + 0*f**2 + 0*f**4 - 1\/70*f**7 + 0*f**3. Determine u, given that m(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 14*b**2 + 29*b - 10. What are the prime factors of d(-5)?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12 + (12 - (-1 + 14)) + -20\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes before 6:37 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 199812644?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 13*t. Let g(b) be the first derivative of b**2 + 15*b - 653. Calculate g(o(y)).\nAnswer: 26*y + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*y - 28 + 8. Let p(t) be the first derivative of -19*t**2\/2 + 3*t - 1. Is p(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 105394 and -0.5.\nAnswer: -52697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -69\/320 and -101\/1088.\nAnswer: 5440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -1 - f**2 - 3*f**2 + 5*f**2. Let p(c) = 4 + 5*c**2 - 5 - 2 - c. Determine -3*a(l) + p(l).\nAnswer: 2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 5 + 1543130*q**3 - 1543134*q**3.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 118100 and 800?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -720 divided by -15?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(-14)*2)\/((-7)\/98).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 2*k**3 - 4*k**2 + 4*k - 39. Let l be z(6). What are the prime factors of 36*(-2 - l\/(-6))?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 0*f = -120. Suppose -5*o - 4*x + f = x, -5 = x. Suppose 0*p + 3*p = 12, d = -3*p + o. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 800 a factor of 330312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 165629 + -34782259\/210. Find the common denominator of j and 173\/1386.\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 119483935?\nAnswer: 5, 293, 81559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f**2 - 9*f - 4. Give i(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -38*(-1)\/(2\/1). Calculate the greatest common factor of 19 and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -14 + 24. Suppose -5*x + 10 = -3*w - 30, -y = 3*x + 5*w. Suppose 3 = -3*l, 2*u - 35 = -x*l + 8. What is the smallest common multiple of u and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -600 - -599.86. What is the biggest value in -0.3, -104, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by 219?\nAnswer: -1\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 3 + 1 + 5 + 14 + (-3 - 5)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence du when two letters picked without replacement from {d: 3, u: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 65359 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: Suppose v + 2*y - 4 = 0, 4*v - 22 = -y - 4*y. Let z be (14\/1)\/(v + -6). Suppose -z*o = -3*o + 16. Which is greater: -5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a - 2. Let r be m(2). Suppose d = -r*d + 25. What is the remainder when (146\/(-4))\/((-10)\/4 + 2) is divided by d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2546 and 335.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x - 1 + 1)*(-47*x**2 - 784*x**4 + 84*x**2 - 37*x**2).\nAnswer: 784*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 8*p**2 - 40*p - 8. Calculate t(6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 6*b**2 + 23*b - 352. Let u(n) = 9*n**2 + 37*n - 528. Calculate 8*g(j) - 5*u(j).\nAnswer: 3*j**2 - j - 176","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a + 45 - 36 = 0, -3*a = 3*k + 15 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the third derivative of 11*i**4\/24 - i**3\/6 + 2*i**2 - 1275*i + 2. Let k(o) = o**3 - 7*o**2 + 6*o + 1. Let l be k(6). Calculate m(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/774809 and -48\/22253.\nAnswer: 8522899","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -3012750 divided by -1004250\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -163*a**2 + 319*a**2 - 171*a**2.\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*j - 12 = -4*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-48*p + 60*p + 20*p)*((4 - 3*p**2 - 4)*(4 - 1 - 1) + 2*p**2 - 2*p**2 + 2*p**2 + 4 + p**2 - 4).\nAnswer: -96*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 2*p**5 - 482*p**4 + 2798*p**3 + 5218*p**2 - 11224*p - 13160 = 0.\nAnswer: -2, -1, 2, 7, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:40 PM and 6:01 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w - 2845 - 1187 = 0. Let x be w\/60*(-10)\/(-4). Suppose 4*r = -0*r + 28. Calculate the greatest common divisor of x and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 87 - (1186 + -1185 - (31 - 0))?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 149732915 to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5 and 408275?\nAnswer: 408275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 76*x - 38*x - 63*x**3 + 1 - 75*x**3 - 38*x to the form z + d*x**3 + k*x + a*x**2 and give d.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 147613001 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13049 - 13049 + 2*k**2 + 643*k**3.\nAnswer: 643*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.1 - 0.1. Let g = 27\/9418 - -18755\/28254. What is the closest to -22 in -1\/8, q, g?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 2*s**2. Let q(n) be the first derivative of n**4\/24 - 3*n**2\/2 - 5. Let i(t) be the second derivative of q(t). Give x(i(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7363 is divided by 3615?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) be the third derivative of -3*k**4\/2 + k**3\/3 + 22*k**2 + 1. Let h(b) = -2*b**2. What is h(f(q))?\nAnswer: -2592*q**2 + 288*q - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -201111 (base 4) to base 15.\nAnswer: -973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*c*l**2 + 47032*c*l + 1634623*l**2 + 2 wrt c.\nAnswer: -3*l**2 + 47032*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6957 - 6985. What is the smallest value in -1, -12, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.07727389823 rounded to five dps?\nAnswer: 0.07727","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -135308 (base 10) in base 12?\nAnswer: -66378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -46, -10, 1, 71 in descending order.\nAnswer: 71, 1, -10, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1210613 - -4.\nAnswer: -1210609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((v + 0 + 0)*(-4 + 0 + 2) + (-33 - 18 - 4)*(7*v - 2*v - 2*v))*(-7*v + 0*v + 2*v).\nAnswer: 835*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 1856667*i + 1. Let j(n) = n**2 + 6*n - 43. Let h be j(4). Let p be k(h). What is p rounded to the nearest one hundred thousand?\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16912 times 0.2?\nAnswer: 3382.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*o**2\/9 - 524*o\/9 - 13608826\/3 = 0. What is o?\nAnswer: -4389, 4651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -27.15 + 23.15. Which is the nearest to 4?  (a) -35\/8  (b) x  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the third derivative of -13*o**4\/8 + 5*o**3\/6 - 2237*o**2. Give r(1).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 592179.1 litres in millilitres?\nAnswer: 592179100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 9 - 11 = 0. What is the remainder when 8 is divided by (b - 1)\/(-2 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 + 10.77.\nAnswer: 10.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - (-5 + 5 + -2) - -10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 4 = 3*n. Let k(b) = -4 + 5*b**2 - 3*b**3 - b**3 + 3*b**3 - 3*b. Calculate k(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((5 - 5 - 2)*(-4 + 0 + 6) - 2 + 11 - 1)*(2*m + 71 - 71) to b*m + h and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-5)\/(75\/(-12)))\/((-6)\/(-30)))\/(-34)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -6*u + 41. Let l be w(3). Find the third derivative of -5*n + 39*n + 22*n**4 - 152*n**4 + 25*n**2 - l*n**2 wrt n.\nAnswer: -3120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-32)\/10)\/(-8))\/(1372\/2380*17)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r**2 - 80556*r + 811158642 = 0 for r.\nAnswer: 20139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 33*v + 270. Let f(s) = -49*s - 404. Let m(p) = 5*f(p) + 7*n(p). Calculate m(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2334057 is divided by 90.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -10984 + 10985. What is the closest to c in 6, 0.06, 9\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*r - 4*r - 92. Let t = r + 37. Solve -h + s = -2*s, -t = -5*h + s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 70 = 5*h, 3*d = d - h - 19. Let g be (d\/44)\/((-2)\/8). Suppose 5*n + 12 = -2*k, 2*n - 3*k + k + 16 = 0. Sort n, 0, 8, g in ascending order.\nAnswer: n, 0, g, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1118559\/98864 - 1914\/167. Calculate the common denominator of 15\/8 and m.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -15729*b**3 - 15674*b**2?\nAnswer: -94374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -25976, -52058, -78140, -104222?\nAnswer: -130304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 minutes before 11:26 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -136117.2519927 + 136108.252. Let q = -9 - t. Round q to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 259216 is divided by 1507?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1485 and 505098.\nAnswer: 7576470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -8 - 195433\nAnswer: -195441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (93\/620)\/((-2)\/8)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**3. Let c(y) = -6*y**4 - 3*y**3 - 5*y**2 + 9*y. Let a(x) = -c(x) + d(x). Find the third derivative of a(s) wrt s.\nAnswer: 144*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*n = -6*n - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.13 - 0.079. Let x = 5.749 + v. What is x rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -16*g**3 - 3*g**2 - 2*g - 130. Let j(q) = q**3 - q**2 - 1. Let m(c) = 3*j(c) - v(c). What is the derivative of m(p) wrt p?\nAnswer: 57*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.8461267 rounded to 3 decimal places?\nAnswer: -5.846","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 89, 234, 377, 518?\n\"Answer: -i**2 + 148*i - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 400*r - 40286 - 29286 = -1151*r - 1328 for r.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2646, 5219, 7792, 10365?\nAnswer: 12938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kg when two letters picked without replacement from {i: 4, h: 3, k: 4, g: 3}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.2 and 3182.\nAnswer: -636.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i**3 - 6*i**2 + 9*i - 15. Suppose -5*u = -2*y - 36, 0 = -y + 5*u + 36 - 64. Determine k(y).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 442 (base 8) to base 3\nAnswer: 101202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3 and -4592.89?\nAnswer: 13778.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -5*u**3 - 38*u**2 + 10*u - 56. Determine v(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*n + 46*n = 24*n + 5*z + 6, 4*z - 28 = 5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.61, 0, 5, 11\/2, -0.07 in decreasing order.\nAnswer: 11\/2, 5, 0, -0.07, -0.61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -212 and -0.1?\nAnswer: 21.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41*a**2 + 6731 - 6731.\nAnswer: 41*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r**3\/3 - 34*r**2\/3 - 88*r\/3 - 56\/3 = 0 for r.\nAnswer: -14, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 139 - 139.5. What is the second smallest value in 4, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4d (base 15) in base 3?\nAnswer: 2201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 969 - 683. Suppose -f = -w + 381. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w - 10. Let p be m(-12). Suppose p*z + 5*y = 7*z, z = -y + 4. Solve z*k = 8 - 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in twenty-one halves of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(2\/11)\/z**(-5))**(-5\/6) assuming z is positive.\nAnswer: z**(-95\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 + 1. Let l(n) = 49*n + 130. Let o be l(-10). Let g = o - -1082\/3. What is the closest to g in -6, -0.2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -57 + 56.9. Which is the closest to f?  (a) -2  (b) 5  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 - -123558021?\nAnswer: 123558018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tncp when four letters picked without replacement from {c: 2, t: 1, m: 1, p: 2, n: 1, b: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (-v - 3*v - 2*v)*(2 + 6 + 6)*(-v - 3 + 3) as b*v + h + m*v**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 13 and 7319?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5040076278.\nAnswer: 2, 3, 840012713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 14*(4 + (-68)\/8). Let c be ((-6)\/a)\/((-1)\/(-24)). Is 1 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate u*v**3 + 1161750*u + 3106*v**4 + 96*v**2 with respect to v.\nAnswer: 3*u*v**2 + 12424*v**3 + 192*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2 + 2 - (-1 - 201). Solve w*b**2 - 4 + 3*b - 201*b**2 - 2*b = 0 for b.\nAnswer: -1, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 2 l when three letters picked without replacement from {r: 1, k: 3, l: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4 - (-6)\/(-3) - 4. Let p = q + 6. Solve -4*c = p*d, 2*d - 3*d - 3*c + 10 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -81*t = -19*t + 21*t + 1922 + 3058 for t.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*o**3\/9 + 8*o**2\/3 + 82*o\/9 + 20\/3.\nAnswer: 2*(o + 1)*(o + 5)*(o + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a = 5*n, 2*n + 32 = 2*a + 44 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**3 - t**2 - 2*t - 1. Let d be h(-1). Let k be -2 + (0 + d)*10. Let o(a) = 12*a - 7. Is o(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -126, -232, -326, -408, -478, -536, -582?\n\"Answer: 6*k**2 - 124*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 * -820\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 4*d - 11 = 0, -d + 20 = 5*o + 19. What is the nearest to o in 10, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 156891860?\nAnswer: 2, 5, 7844593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -2*((-11)\/22)\/((-4)\/(-16)). Suppose u = -3*a + 3, -5*a = -u + 2*u - 5. Suppose -p*i - 12 = u, 12 - 29 = -l + 3*i. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 379944*g**5 + 832*g**2 - 31?\nAnswer: 22796640*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 65479 is divided by 73.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*g**2\/8 + 31539*g\/8 + 15771\/4 = 0. What is g?\nAnswer: -1, 10514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that 5*w**3\/2 + 85*w**2\/2 + 40*w = 0.\nAnswer: -16, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i + 11. Let p be t(-9). Let q = 6 + -4. Suppose 0 = q*h + 2, 0 = -4*y + h + h - 6. Sort 4, p, y.\nAnswer: y, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -11*i**2 - 1036*i - 172. Determine d(-94).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -8c31 (base 14) to base 2\nAnswer: -101111100011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 25 + -23.84. Let p = 2.364 - 0.634. Let q = s - p. What is q rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -205*k + 2. Let a be u(3). Let l be a\/(-2)*3\/6. Let y = 154 - l. What is the second smallest value in -2\/9, 0.5, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*t + 5*a = -14*t + 1699, t = -4*a - 843. Let c be 4 + (t\/21)\/(-11). What is the third smallest value in -1\/10, 1\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-4) + (-12)\/96*20.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1593\/(-39) - 2\/13. Let g = -371\/9 - o. Sort 2\/9, g, -1\/2 in increasing order.\nAnswer: -1\/2, g, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 5, -2, 213 in descending order.\nAnswer: 213, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ldd when three letters picked without replacement from {l: 1, h: 16, d: 3}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 + 2\/4)\/((-2)\/(-36))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**2 + 6*w + 4. Let p be g(6). Let u = -3 - -5. Factor x**3 + u*x + 0*x**3 + 2*x**2 - 2*x**p - 3*x**3.\nAnswer: -2*x*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p*(p\/(p\/(p*p**(-2\/37))))\/p))\/(p**(2\/19)\/p) assuming p is positive.\nAnswer: p**(667\/703)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5)\/2)\/((635\/3048)\/(2\/(-4)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in g**3 - 332*g**2 + 2*g - 105*g**2 - 2*g + 186*g**2.\nAnswer: g**3 - 251*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5476 or -16432\/3?\nAnswer: -16432\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1253057 and 42149?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10\/(-6) - (12966\/(-9))\/1?\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**3 + 62*m**2 - 285*m - 1386.\nAnswer: (m - 7)*(m + 3)*(m + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 30674173*b**3*d*h + 3*b**3*h - 2*b**2*d*h - 13*b**2*h - 725140*b*d*h wrt b?\nAnswer: 184045038*d*h + 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 16*(14 + -4)\/5. Let l be 94\/(-8) + 6\/8. Let y(r) = -r**2 - 14*r - 25. Let q be y(l). What is the greatest common divisor of g and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3  (b) -0.0431  (c) -7  (d) 0.3  (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 2, a: 1, n: 1, j: 3, x: 2, s: 6}. Give prob of picking 2 j and 1 n.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -28889, -30577, -33359, -37223, -42157?\nAnswer: -48149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the first derivative of 68*z**3 + 135*z**2\/2 - z - 132. Find the second derivative of c(k) wrt k.\nAnswer: 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f**3 + 6*f**2. Let p be t(6). Suppose p*x - 12 = -4*x. Solve x*l - z - 20 = 0, -5*l = -3*z - 23 - 17 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -5, -3\/2, 5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 76907 is divided by 76882?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = p - 11. Let v be (-1372)\/(-2) - (18 - p). Suppose 0 = -2*h + 2*x - 2431 + v, -x + 4354 = -5*h. Round h to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 12\/5, -1\/10, 11, -22, 0.08, 59 in ascending order.\nAnswer: -22, -1\/10, 0.08, 12\/5, 11, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {e: 3, x: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 16 + -18. Suppose -5*c + 3 = -12. Let f be (-2 + c)*-2*t. Solve 5*j + 0 = -h + 11, -f*j = h - 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) -1\/6  (c) 10  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -53*b**3 - 10*b**2 - 5*b + 3. Let i(n) = 264*n**3 + 48*n**2 + 24*n - 12. Calculate 5*i(u) + 24*l(u).\nAnswer: 48*u**3 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (10\/(-15))\/((-1)\/102) is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s - 1 - 3. Solve -h = -s*h - 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + (25 - (-2 - -11)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*(x\/(x\/(x\/(x\/(x\/x**(-5)))*x*x)))\/x*x*x*x**0)\/((x\/x**(-2\/7))\/(x**(-1\/5)*x)) assuming x is positive.\nAnswer: x**(333\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 51*w - 21. Let n(i) = -5*i + 2. Let g(d) = -2*m(d) - 21*n(d). Let u(z) be the first derivative of -7*z**2\/2 - 558. Calculate g(u(j)).\nAnswer: -21*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 5\/198 and 149\/20832.\nAnswer: 687456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 19, x: 1}. Give prob of picking 2 d and 1 x.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3131 and 10.\nAnswer: 31310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is (223 - -2)*(0 + 3\/9) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 65 divide 4626375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1855.4772 + -1856. Let w = -23.4876 + k. Let a = -24 - w. What is a rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 14 + -10. Let l be 5*(0 + 4\/j). Which is bigger: l or 11\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*4*sqrt(5)*-2*1.\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that -z**2\/3 + z = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b = -4*b - 80. Let c = b - -23. Let z(k) = 5*k - 5*k - 4*k + c*k. Let w(l) = -5*l**2. Give w(z(f)).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 118*u - 265*u - 33245 = 398*u for u.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/(-4) + (-1)\/2. Let g(i) = -8*i + 3*i + 6*i. Let s(j) = 2*j**2 - 2*j. Let n(w) = l*s(w) - 4*g(w). Find the second derivative of n(f) wrt f.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 104*m = 98*m + 12. Solve 0 = -2*o + 4 + 2, m*o = -2*d + 14 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*b + 12*b - 50. What is the tens digit of (-16)\/(-8)*(-2 + 557\/b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1109804 to the nearest integer?\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q + 193 - 194 = 3*m, 0 = -2*m - q - 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6)\/4*16\/(-6). Suppose -s = -x, 2*k - 10 - 2 = -2*x. Let w be 7 + -2 + (-3 - -3). Solve -o - m - k*m = -15, 14 = -2*o + w*m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 3*h = -28. What is the second derivative of -h*x**2 + 2*x**2 + 2*x**2 + 0*x**2 + x wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i\/(i*i\/((i*i*i**(1\/2)*i*i*i)\/i))*i)**(-34)*(i*i**(1\/2)*i)**(-1))\/((i**(2\/15)\/i**(4\/7))\/(i**1)**(-4)) assuming i is positive.\nAnswer: i**(-40543\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -9*b + 60. Suppose -2*z - 4 = -b. Is 4 equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-189)\/70*(-88)\/(-42). Let i = m - -24\/5. Let r = 17.7 + -18. Which is the nearest to r?  (a) 1  (b) i  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -136036983449 + 7.\nAnswer: -136036983442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, k: 1, r: 3, a: 11, z: 2}. What is prob of picking 2 a and 1 n?\nAnswer: 55\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 8504009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24941296?\nAnswer: 2, 1558831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 3, k: 3, f: 1, e: 2, d: 9}. Give prob of sequence df.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 69171839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 990.3013km?\nAnswer: 990301300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 478314?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -743850 rounded to the nearest 10000?\nAnswer: -740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2.5?  (a) -2  (b) 0.2  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 49569210 to the power of 1\/3, to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 47, 104, 173, 260, 371, 512, 689?\n\"Answer: j**3 + 50*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 61\/2 - 31. What is the closest to a in 1, -5, -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -86*l**3 + l**2 + 4*l + 201. Let n be t(0). What is the highest common factor of n and 51657?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbm when three letters picked without replacement from {b: 3, u: 1, m: 1, k: 8, v: 2, s: 1}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 36828433?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:02 AM and 4:36 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-50)\/(4 - 3605\/900). What is g rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -5*v**2. Let k(s) = -s**2. Suppose 28 + 23 = 2*d + t, d - 4*t = 21. Determine d*k(c) - 4*b(c).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = -5*x - c, -4*x - 3*c + 18 + 7 = 0. Let j = 2.4 - 2.1. What is the nearest to 2\/5 in j, -0.05, x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of -80*(27\/(-21))\/(2\/7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -34, 2, -63234 in increasing order.\nAnswer: -63234, -34, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/(-8) + 9\/4. Suppose 3*d + 0*m + 2*m = -9, d + m = -4. Is 7 a factor of (d - 1)*-4*x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/8, 17, 126\/11 in descending order.\nAnswer: 17, 126\/11, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.99 + 0.01. Suppose -2*w = w + 1362. Let i = w + 9536\/21. Sort h, i, -1\/2 in descending order.\nAnswer: h, i, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uccacaqauuuqcququqq. What is prob of picking 2 c and 1 a?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -3*(3 - 33\/9). Suppose 0*n - 130 = -l*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -22\/7, -1\/11, -4 in increasing order.\nAnswer: -4, -22\/7, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 975049\/52 + -18752. Calculate the common denominator of 103\/36 and d.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k - 5*l = 20, 152 - 132 = -5*k + 2*l for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3\/5 + (-5428)\/(-20). Suppose -4*n = -0*n - r. Is n a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c + 3, -4*r + 3*c + 7 = -22. Suppose 0 = -l - r*o + 380, -2*o = -l + 30 + 371. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 785100036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 equal to -13\/88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*n - 40*n = 0. What is the second derivative of -12*q + n*q - 28*q**2 - 6 + 7 wrt q?\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 226 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1980293 to the nearest integer?\nAnswer: 1407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -215083*n**2 - 215086*n**2 + 430182*n**2.\nAnswer: 13*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.388589932 and 0.19.\nAnswer: -0.198589932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -100 + 101. Suppose -5*q = 403*y - 406*y + 23, -4*y + 89 = 5*q. What is the remainder when y is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -656023 (base 7) to base 3\nAnswer: -12211122101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 299722 is divided by 1233?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.673438879 to three decimal places.\nAnswer: 0.673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -53 + (-6594)\/(-126) - -3*1120\/45.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*j - 72 = -3*c, 59322*j - 14 = -3*c - c + 59316*j for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 82*w**2 - 1 + 25*w**4 - 58*w**4 + 31*w**4 as t*w + m + o*w**4 + z*w**2 + c*w**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 32 + -63\/2. Let i = -0.0888 + -0.1112. What is the third smallest value in i, 2.1, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 26 - ((9 - 4) + (37 + -37 - -8)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 780 divide 1843920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 17*y + 9. Determine u(2).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -2*x + 26. Let k be u(12). Solve 4 = 5*y + k*b, 2*b = -6*y + 4*y + 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3727.6 + 3728. What is the biggest value in o, -1.8, -24, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 i when two letters picked without replacement from {x: 2, n: 1, i: 1, p: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -139673*k**3 + 13694.\nAnswer: -419019*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (88\/385)\/(2\/20*4)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*r**3 + 1 - 1 + 4*r**2 - 4*r**2 + 2*r**3 + (4*r**2 - 2*r**2 - 3*r**2)*(-r + 0*r - r) - 7*r**3 + 8*r**3 + 0*r**3 - 8*r**3 + 16*r**3 - 9*r**3.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 87\/446294 and 54\/58867.\nAnswer: 19190642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 52*a**3 - 192*a + 3*a - 53*a**3 + 6 in the form p*a**3 + k + c*a + s*a**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 7 + (-13 - -3) + 10\/3. Let n(x) be the third derivative of w*x**3 + 0 + 0*x - 1\/30*x**5 + x**2 + 0*x**4. What is the first derivative of n(b) wrt b?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + (-26)\/14 - 903*2\/294.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 19252*c + 6 - 10 + 5 - 23336*c.\nAnswer: -4084*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 - 5 = -3*w. Let m be 1 - (6 - 0\/w). Let b(o) = -3*o**3 - 5*o**2 + o - 3. Let v(j) = -j**3 - j**2 - 1. What is m*v(q) + b(q)?\nAnswer: 2*q**3 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4297936245?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -99\/1461556 and 16\/57693?\nAnswer: 4384668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1807)\/(-507) - (-30)\/(-130).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*v**3 - 142*v**2 + 4*v**2 + 9*v**3 - 34*v**3 + 47*v**3.\nAnswer: -8*v**3 - 138*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 867806475451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -25, 261522, 0.2 in decreasing order.\nAnswer: 261522, 0.2, -25","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Solve -12*u = 3*u - 90 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -72953, -68894, -64835, -60776?\nAnswer: -56717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 75689 is divided by 17771?\nAnswer: 4605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((-2*(sqrt(1078) - (sqrt(1078) - sqrt(1078)*3)))\/((sqrt(4) + sqrt(1960)\/sqrt(10))\/sqrt(2)))**2 + -5.\nAnswer: 4723\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 586451711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, c: 4, h: 2, p: 5, z: 2}. Give prob of sequence hzh.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -745847*b + 1491819*b - 26*b**2 - 745972*b.\nAnswer: -26*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of f**3*m*z**3 + 125*f**3*m*z - 975*f**3*z**3 - 2*f*m*z**2 + f*z**3 + 10*m*z**2 wrt z.\nAnswer: 6*f**3*m - 5850*f**3 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 4 + 13 = 0. Solve -3 = -j*z - 0*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2208 or 2207?\nAnswer: 2207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 144805776 and 24134296?\nAnswer: 144805776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(156) - (4*(sqrt(156) + -2*sqrt(156)) - sqrt(156)))\/(sqrt(108)*1).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u**2 + 8*u. Let z be p(8). Let g(f) = f + f**2 + z*f**2 + 220 + 367. Is g(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.6 - -0.72. Which is the third biggest value?  (a) 1\/7  (b) -3  (c) p  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g + v + 14, -2*g + 7*g = v + 17. Let k be (4\/g)\/((-6)\/(-9)). Solve 3*s - 5 = 5*m, 3 = 2*m + k*m - s for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*z + 3*z + 2*z + (4 - 5 + 3)*(-z + 0*z + 0*z) - 2*z - z + z + 2*z + 3*z - 3*z + 179 - 179 + 14*z.\nAnswer: 13*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + n = 34290. Suppose n = 3*z - 108798. Let o = z - -2924. Round o to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4408.9995241 - 4409. What is f rounded to five dps?\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0472734 millilitres to litres.\nAnswer: 0.0000472734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(128) + 4)*6*-2)**2.\nAnswer: 9216*sqrt(2) + 20736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 93a41f (base 16) to base 14\nAnswer: 13dc251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (-1 + 6 - -4) - 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 642088 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**2. Let p(t) = -t**2 - 9*t - 6. Let m(w) = 10*w + 2. Let l be m(-1). Let u be p(l). Let c(x) = 5*x**u + 6*x**2 - 10*x**2. Give o(c(q)).\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o - 57 = 4*a - 85, 2*a - 11 = -o for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p - 4*p**2 - 25*p**2 + 2*p. Let r(v) = 2*v**2 + 35 + 44 - 79. Determine z(r(g)).\nAnswer: -116*g**4 + 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -8 - 2*f + 0*f - f + 5. Calculate p(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z**2 + z - 16. Let n(a) = -a**2 + 2*a - 38. Let b(r) = 2*d(r) - n(r). Calculate b(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -2*j + r + 8, -2*j = -4*r - 10. What is the highest common divisor of j and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/((-3)\/(-6))*-1. Let j(q) = 22*q. Let k be j(n). Calculate the greatest common divisor of 11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 y when two letters picked without replacement from {s: 2, l: 1, c: 2, p: 4, y: 3}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 2 - 7 = 0. Let u be (0 - 22\/i)*-5. Suppose -123*g + 672 = -151*g. Which is smaller: g or u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1005)\/17 - 12\/(-102). Let v = -69 - f. Let t be 2 + v\/6 - (-10)\/(-6). Which is the second smallest value?  (a) -0.3  (b) t  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u**2 + 15618*u + 62483. Give h(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -3985*k**2 + 669478*k + 29. What is h(168)?\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y - 0 + 6. Suppose -2*f - k = -419, 0 = -4*f + y*k + 476 + 366. Calculate the greatest common divisor of 21 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2155.\nAnswer: 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1516 and 84.\nAnswer: -12.7344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 905 - 904.7. Let r = 2.2 - 2. Which is the third smallest value?  (a) r  (b) -1.7  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3173\/40 + -401\/5. Calculate the common denominator of -117\/10 and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.399*-1.\nAnswer: -0.399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -49*c**2 + 44*c**2 - 24*c**2 - 61*c**2 + c.\nAnswer: -90*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-252)\/(-24) + -9 + (-128)\/14 and -5\/354.\nAnswer: 2478","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the second derivative of 3*h**7\/35 - 3*h**5\/20 + 5*h**2 + 5*h. Let y(m) be the first derivative of l(m). Find the third derivative of y(i) wrt i.\nAnswer: 432*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -590*l + 1937. Let w be y(8). Which is bigger: w or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t and 2 u when four letters picked without replacement from tttuu.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -36890*i**2 - i - 14037.\nAnswer: -73780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -198, 43, -1, -2, 1 in decreasing order.\nAnswer: 43, 1, -1, -2, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -16*x**4 - 57*x - 35*x**3 + 47*x**2 + 18 + 19*x**3 + 24*x**3 = 0?\nAnswer: -2, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 145 is divided by 78.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*((1*sqrt(270))\/sqrt(6))\/sqrt(9))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -2*c - 7. Let k = 2 - -2. Suppose a = k*a - 51. Calculate the remainder when a is divided by b(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together -34170497927 and -0.1.\nAnswer: -34170497927.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5, 15449, 2\/25?\nAnswer: 15449","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put together 120 and 0.7507.\nAnswer: 120.7507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 170440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i. Let x(d) = 207084*d**2 + d. Calculate x(c(k)).\nAnswer: 207084*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -8281*c**2 - 2*c - 37. Let g be s(16). Let x be g + 7 - 0 - 4\/2. Round x to the nearest one hundred thousand.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8922, -35672, -80256, -142674, -222926?\nAnswer: -321012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**2 - 8*p - 9. Let g be w(-6). Let z be 12\/(-8) + 4\/(-8). Let c be g + 4\/z*-1. Solve -c*a + 31 - 11 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-27) - (2 + -116*6\/(-27))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1974 divide 12149970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*y**3 - 51*y**2\/5 - 12*y\/5 + 9\/5.\nAnswer: -3*(y + 1)**2*(10*y - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*h - 3*h + 2*h)*(6 - 2 + 0) + 3*h - 2*h + 4*h to the form f + q*h and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**3 + 5*o**2 - 2*o - 5. Let d be r(4). Let m be (-2)\/(-6) + (-4)\/d. Let w = -2 + 0. What is the second biggest value in w, 0.3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ehhx when four letters picked without replacement from xxhhhexxehexeh.\nAnswer: 50\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -14, 94, -3, -2, 4, -11.\nAnswer: -14, -11, -5, -3, -2, 4, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**2 - 3*y + 4. What is p(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49*i + 2448 = -31*i. Is i a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2056 + 995 + 1061 + 3926*j as p*j + i and give p.\nAnswer: 3926","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3 + (-9)\/2 + 205\/(-2). Let y = d + 104. Let x = 47 - 44. Solve 2*n = 4*s + 8, y*n - 6 = -n + x*s for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (29\/145)\/(((-390)\/(-13000))\/((-63)\/(-48)))\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -389 = 108*g - 2549 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 11*f**2 - 18*f + 6. Let d be i(1). Let n(o) = -o - 1. Let x(v) = -18. Give d*x(g) + 2*n(g).\nAnswer: -2*g + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10110011011010010101110 + 0?\nAnswer: 10110011011010010101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p = 6*y + 43 + 57, -1455*p = -1456*p + 5*y + 5 + 6 for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 4*v - 10, v + 2 = -17*z + 16*z. Put -9, v, -2, 7 in ascending order.\nAnswer: -9, -2, v, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -28*n - 8. Let m(q) = -48*q**2. Determine m(i(d)).\nAnswer: -37632*d**2 - 21504*d - 3072","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -t**2 + 27*t**2 - 7*t**2 + 6*t**2 to q + d*t + f*t**2 and give f.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -1258*o. Let r(k) = 20*k**2 + 119*k. Determine r(b(f)).\nAnswer: 31651280*f**2 - 149702*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6480 = -2*k - 34*k. Calculate the lowest common multiple of k and 144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the third derivative of a**8\/504 - 149*a**7\/252 + 5671*a**6\/120 + 15557*a**5\/90 - 2209*a**4\/18 + 7230*a**2 + 2*a. Solve x(n) = 0.\nAnswer: -2, 0, 1\/4, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -49 + (-34 + 39 - -29) + 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tata when four letters picked without replacement from {a: 7, t: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f\/(f\/((f*(f*f*f*f**(-13\/4))\/f)\/f))*(f\/f**1)\/f assuming f is positive.\nAnswer: f**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 712.9357 centuries in years?\nAnswer: 71293.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-16)\/88 + (-24)\/(-11). Suppose 3*w = -w - s*d + 6, -w - 4*d - 2 = 0. Solve 5*t - o = -0*t + 27, 18 = w*t - 4*o for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 92110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 35340 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the second derivative of k**7\/420 - 7*k**5\/60 - k**4\/2 + k**3\/3 - 32*k. Let t(z) be the second derivative of b(z). Determine q so that t(q) = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand b**2 - b**2 + b**5 + 5*b**5 + 0*b**5 - 4*b**5 + (-1 + 6*b**2 + 1)*(6*b**3 + 38*b - 38*b).\nAnswer: 38*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12172644 to the nearest integer?\nAnswer: 3489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*(v\/(v**(1\/4)*v))\/v)**(-9)\/(v*v\/(v**(-7)\/v)*v*v**(1\/6)) assuming v is positive.\nAnswer: v**(-107\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 7068, 14074, 21028, 27930, 34780?\n\"Answer: -26*r**2 + 7084*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 1962 divide 6908202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = 2*c + 18. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5937 - 233?\nAnswer: 5704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51*p + 24*o + 600 = 21*o, -5*p - 2*o = -68 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -873 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 721 is divided by 718?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-38)\/228*312\/12\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1424a4 (base 11) to base 3.\nAnswer: -102022201122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sksokoogssg. Give prob of picking 3 o.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.1?  (a) -0.2  (b) -3  (c) -0.3  (d) -4  (e) -2.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is (-280)\/112 + (-395)\/(-2) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -345, -686, -1027, -1368, -1709, -2050?\n\"Answer: -341*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*b - 7212892 - 4275108. What is b rounded to the nearest 100000?\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 58*b - 71. Does 7 divide p(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 84 + 29 = 0. Suppose 6*l + 120 = x*l. Does 24 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8 - -13. Suppose -p*g + 32 = -g. Solve -6 = i - 2*z, -3*z = -z - g for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 116 = -4*o - q + 18, 0 = -4*q - 8. Let l be ((-30)\/(-8) + 0)\/(o\/(-64)). Factor -5*a**3 + 50*a**2 + 39*a - 19*a - 10*a**4 - l*a**2.\nAnswer: -5*a*(a - 2)*(a + 2)*(2*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lmsmmldpllmlslslppm. Give prob of picking 2 p.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -13 + 7325*i**3 - 7347*i**3 - 3 + 2*i**3 + i**3 - 4*i**3 + (4*i**3 - 2*i**3 + 0*i**3)*(-3 - 2 + 2).\nAnswer: -29*i**3 - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -6  (b) -5  (c) -2\/45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 8) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7 + -7. Suppose 3*y - 2 = -t + 5, v = 4*t - 4*y + 4. What is the highest common divisor of 11 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 61.14553 litres to millilitres.\nAnswer: 61145.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = i + 12, -3*s - 7 = -5*i for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.021240014 rounded to 4 dps?\nAnswer: 0.0212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -68\/63 and -65\/144.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -58, -4 in decreasing order.\nAnswer: 0, -4, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**3 - 10*p**2 + 2*p + 7. Let n be b(10). Let s be 3*3\/(n\/(-6)). Does 10 divide (-4 - s)*(-1 + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 151644869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 310*c + 430*m - 426*m + 70 = 309*c, 5*m + 80 = -5*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**20\/(o**(4\/15)\/o))\/(o*o*o**(-27)*o)**(2\/27))**19 assuming o is positive.\nAnswer: o**(19247\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = 3*t. Suppose 4*k + t*k + 2*h = -28, 5*h = -3*k - 35. Let s be (0 - 0\/1)\/(-1). What is the closest to s in -3, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 + (2 - 6) - 2. Let z = -4 + 1. Which is the closest to z?  (a) -3  (b) i  (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4442221 rounded to 3 dps?\nAnswer: -0.444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(513) - (sqrt(513) + 1*sqrt(513)*2) - 2*sqrt(513)*3)\/(sqrt(96)\/sqrt(2)*-2).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -65 - -63. Let s = 118 - 123.7. Let d = s - -6. Which is the nearest to 2\/5?  (a) 2  (b) d  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 40*b + 12895. Calculate m(-323).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12396.\nAnswer: 2, 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = v - 23, -3*d + 109 + 20 = 3*v. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-5)\/(f**11*f))**(-14\/9) assuming f is positive.\nAnswer: f**(238\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*i**5 - i**5 - 15*i**2 + 10*i**2 + (0 + 0 + i**4)*(-36*i + i + 236 - 238).\nAnswer: -38*i**5 - 2*i**4 - 5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: ((-260)\/(-24))\/13*56\/(-70)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(2\/(-4))*(-7332)\/(-564)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 75*w - 75*w - 54*w**2 - 67*w**2.\nAnswer: -121*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 533 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1165735327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that 3*o**2 - 10707*o - 133628796 = 0.\nAnswer: -5124, 8693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -235*t - 3437. Determine b(-15).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k - 4*k + c = 3, k - 2*c - 3 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -21367, -42736, -64105, -85474?\nAnswer: -106843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-9 - -13) + 8 - 7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -18 - -21. What is the third biggest value in 1\/4, -1, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 116864004331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put together -14119349683127 and 0.04.\nAnswer: -14119349683126.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5023355 nanoseconds in microseconds?\nAnswer: 0.0005023355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 - 8 + 13*z)*(-2*z + 0 + 0)*(0 + 2 + 0).\nAnswer: -52*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 13 and 6255613.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -167.895245 rounded to the nearest integer?\nAnswer: -168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -156477768.\nAnswer: -1\/78238884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 3839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 696564013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -330 - -331. Put p, -1\/3, 0.1, 0.4 in increasing order.\nAnswer: -1\/3, 0.1, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 35\/6, 2\/7, 7.93 in decreasing order.\nAnswer: 7.93, 35\/6, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/((4\/6)\/((-8904)\/3339))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 95 + -37. Let g = r - 40. Let b be (-1)\/(-1 + 21\/g). Let q(n) = -n**3 - 7*n**2 - 5*n + 4. Calculate q(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1217705, 1217707, 1217709, 1217711, 1217713?\n\"Answer: 2*x + 1217703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 times 2699540\nAnswer: -269954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = 89 - 368. Let d = z - 54. List the prime factors of d.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 169.9032 millennia to centuries.\nAnswer: 1699.032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 12\/3 + (-21)\/6. Sort -0.1, g, 6.\nAnswer: -0.1, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 627671\/4183 less than 149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3588275.\nAnswer: 5, 17, 8443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3644*l**2 - 5347*l + 196599.\nAnswer: -7288*l - 5347","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:34 AM and 9:26 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -101 by -4.\nAnswer: 101\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.1 or 402305?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -103*i + 594 + 24 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Add -130 and -9832.\nAnswer: -9962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -9650648 less than -475?\nAnswer: 9650173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2579*k = 21599 + 84140 for k.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4797?\nAnswer: 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 221 + 222101201020?\nAnswer: 222101202011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3 + -1)\/2 + 32000. Suppose -11*y + h = 9011. Suppose -13*c + 3*c = -y. Is 39 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-44 + 19 - 9)*(4*y**4 + 2*y**4 + 8*y**4).\nAnswer: -476*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -21, 0, 3 in decreasing order.\nAnswer: 3, 0, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 95 is divided by 29?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 8*h + 72. Give c(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h and 1 q when four letters picked without replacement from hqqexehexohhhhhqhee?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -49 divided by -28763?\nAnswer: 1\/587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 94 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1*150\/(-72))\/((((-6)\/(-4))\/3)\/(-1))?\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 12487.3 - 12515. Which is the closest to l?  (a) -2  (b) -5  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-7 - -1) + -2 + (1 - -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -3116*f + 1599*f - 1588*f + 107*f - 7908*f in the form y*f + h and give y.\nAnswer: -10906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the first derivative of 15 + 2*i**2 - 4 - 7. Let f(y) = -1 - 2*y**2 + 1. What is f(z(d))?\nAnswer: -32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n - 3*n**2 - 2*n)*(-5 + 6*n + 5) - n + n + 4*n**3.\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 26049 and 34143?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 17.4 + 1.56. Let k = n - 2.96. What is the third biggest value in k, -4, 1\/4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 29 = 5*m, -4*m - 2*p = -0*m - 24. Suppose m*t - 110 = -0*t. What is the highest common divisor of t and 132?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -87, -166, -245, -324, -403, -482?\nAnswer: -561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 123349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j + 18435 = 21*j + 18251 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 54326, 108530, 162658, 216716, 270710, 324646?\n\"Answer: n**3 - 44*n**2 + 54329*n + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 8947848869 to the power of 1\/2, to the nearest integer?\nAnswer: 94593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*u + 15 - 3. Find the third derivative of 36*o**4 + 30*o**u + 4*o**3 - 4*o**3 - 13*o**4 wrt o.\nAnswer: 552*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -8, 63, 206, 421, 708, 1067, 1498?\n\"Answer: 36*b**2 - 37*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 41.7*-192.\nAnswer: -8006.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3726.226 + -3695.22518. Let t = -31 + m. What is t rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -17 + 26. Suppose 21*b = 16*b - 320. What is the smallest common multiple of (1 - 26\/8)\/(24\/b) and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 + (0 - 0 - (1 + 9 - (874 - 876)))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**3 + 14*y**2 - 2*y + 47. Determine z(14).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 44 + -38. Suppose 5*a = 2*l - d, l - 1 = -2*a + 2. Suppose 24 + a = 6*t. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:34 PM and 12:17 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*w + 8*w = -u + 11798, -2*w = 4*u - 47164. List the prime factors of u.\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 24*g**4 - 44*g**3 - 32*g**2 + 52*g + 4. Let y(r) = -r**4 - r**2 - 1 + 2 + 108*r - 107*r + r**5. Let b(h) = c(h) - 4*y(h). Let b(o) = 0. Calculate o.\nAnswer: -1, 0, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 5\/(15\/(-12))*18\/12. Let l be 1\/(x*(-4)\/16 - 2). Let g be (34\/14 - l) + 32\/56. Solve d = t + 9, d - 35 = -2*d + g*t for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -28 + 128. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1624975080?\nAnswer: 2, 3, 5, 193, 70163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 114.1 + -11.1. Let h = 102.8 - k. Let x = -17 - -33\/2. Which is the closest to x?  (a) 3\/2  (b) h  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 574 divided by 287?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:21 AM and 4:44 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -3*l. Let y(n) = n. Let v(o) = d(o) + 2*y(o). Let m(j) = -j + 3. Let r = -5 - -4. Let s(u) = r*m(u) + 6*v(u). Give s(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -22609, -45060, -67511, -89962, -112413?\n\"Answer: -22451*y - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10021865, -10021869, -10021877, -10021889, -10021905?\nAnswer: -10021925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 1 k, 1 c, and 1 y when four letters picked without replacement from kykdkkakddlkdacckaa.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 - 4. Let l be (8 - (-700)\/(-90)) + 1156\/(-18). Let i be -1 - (1 + l\/36). Which is bigger: z or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 2*q**2 - 134*q + 346. Give l(68).\nAnswer: 482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 187, 743, 1669, 2965, 4631?\n\"Answer: 185*p**2 + p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 76.24925cm to nanometers.\nAnswer: 762492500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve p + 1 = 16*q - 15*q, 8 = p - 4*q for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 159, 581, 1275, 2235, 3455, 4929?\nAnswer: 6651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -241.14*0.16\nAnswer: -38.5824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.08090523 to three decimal places.\nAnswer: 0.081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1905054824?\nAnswer: 2, 227, 1049039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 11*h**2 - 2*h - 14. Let w be l(-2). Solve 26 = -4*k + w for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1 + -1 + 0 + -12. Calculate the common denominator of (2 - -2)*39*(-8)\/256 and (-242)\/d - 0\/1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u - 2*u - 508*k - 20 = -504*k, -14*k = 4*u + 90 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1311907040816 take away -0.16?\nAnswer: -1311907040815.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 2657, -2, 74, 0.6, 0.5 in ascending order.\nAnswer: -2, 0.5, 0.6, 5, 74, 2657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*r - r + 7. Suppose -657 = -r*w + 694. Suppose 5*m - 3*b + b - w = 0, 3*m + 2*b - 119 = 0. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/(18\/6))\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 559 minutes after 3:41 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9231?\nAnswer: 3, 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**1)**(18\/7)*((v\/(v**0\/v)*v)\/v)**(-50)*(v**(-4)\/v*v**(2\/15))\/(v\/v**(1\/2))**(-4\/11) assuming v is positive.\nAnswer: v**(-117941\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 1\/6  (b) -144\/7  (c) 0.07  (d) 5  (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 327046 is divided by 2336.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -5, -100\/13, 0.011 in decreasing order.\nAnswer: 0.011, 0, -5, -100\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*h + 5*h**3 + 2*h - 13*h**3 + 6*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.3657 + 0.1343. Which is the closest to 0?  (a) x  (b) -36  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/8, 3\/4, 0.03390571 in increasing order.\nAnswer: -1\/8, 0.03390571, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.2, -83.7, 3191?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46211 is divided by 6109?\nAnswer: 3448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 361159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p**3\/11 + 26*p**2\/11 + 10*p + 150\/11 = 0.\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6225 by -3.\nAnswer: -2075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 - 13 = -7*n. Suppose 71*t - 74*t + n = 0. Solve -4*m - 20 = -t*g, m = 2*g - 16 + 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:38 AM and 11:38 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (-4 + 1 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (8*o + 11*o - 22*o)*(o + 2*o - 5*o) - 3*o**2 + o**2 + o**2 as r*o**2 + y*o + f and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 93389473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 128377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -g**3 - 8*g**2 - g + 3. Let n be h(-8). Suppose -5*m = 1 - n. Solve 4*w - 10 - m = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 57\/5 of a millimeter in micrometers?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 43.3287, 52 in decreasing order.\nAnswer: 52, 43.3287, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*h + 3*a + 22, -834*a - 22 = 4*h - 836*a for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -53368 - -146649. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**3 - 7*q**2 + 9*q - 6. Let o be a(6). Let d = o + -2. Suppose f = -j + d, 3*j - 37 - 3 = -5*f. Solve -f*r - 5*u + 3 = 13, u + 10 = -3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*x = 3*i - 3*x - 2*x - 61146, 0 = -4*x. What is the ten thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w = -5*w, -23*w - 10 = 2*l - 25*w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3 and 5077.78.\nAnswer: 15233.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 45685843663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 3 - 5 - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37786716 is divided by 1425.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p**2 - p - 6. Let c be w(5). Suppose -c - 26 = -2*j. Calculate the least common multiple of 8 and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.11, -7\/5592, 6 in descending order.\nAnswer: 6, 0.11, -7\/5592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*a**6 + 200*a**4 - 318*a**2.\nAnswer: -240*a**3 + 4800*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 1 - (-59 - -41 - -46)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 601456 (base 7) in base 14?\nAnswer: 28d66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = -2*b, 5*x - 56 + 69 = 3*b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001684 to 5 decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 5, -95, -4 in descending order.\nAnswer: 5, 0, -4, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 - 7)*(18 + 24 - 15)*(10*x - 2*x - 2*x).\nAnswer: -648*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -8719, -8531, -8195, -7711?\n\"Answer: 74*y**2 - 34*y - 8759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the second derivative of 257*h**4 - h**3\/3 - 100*h**2 + 6560*h. What is the second derivative of r(t) wrt t?\nAnswer: 6168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 183*v + 4 = 187*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -790 or -4739\/6?\nAnswer: -4739\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 5a - 8?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -3  (b) 86  (c) -1  (d) 2  (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -74.53366 rounded to the nearest integer?\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1551687\/290 or -5350?\nAnswer: -5350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 98 + -97. Let h be (-1)\/(3 + (-69)\/12). Sort w, h, -1\/5 in descending order.\nAnswer: w, h, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2824333370 to the power of 1\/3, to the nearest integer?\nAnswer: 1414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-6)*w*w**(-9)*w*w**(2\/13)\/w**(-1\/5) assuming w is positive.\nAnswer: w**(-822\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101011111010 - -1100000101?\nAnswer: 110111111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 749283730.\nAnswer: 2, 5, 13, 29, 233, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 66972 to the power of 1\/2, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.1 - -1.1. Let o = 6.4 + 31.6. Let i = -56 + o. Are i and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - y = -145, -3*i - 43 = y + 36. Find the common denominator of -8\/7 and (24\/i)\/((-3)\/18).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -0.3  (b) 1\/11  (c) 2  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 31 - (-10 - (-33 + 17))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 256423 is divided by 152?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 245623499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**3 - 10*r**2 - 11. Let y be v(-10). Let z = y - -17. Find the common denominator of -27 and (4 - 5)\/z + 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5 * 19601.\nAnswer: 9800.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1352, -1324, -1294, -1262, -1228?\nAnswer: -1192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*g**4*r**2*x - g**4 + 47*g**3*x - 5*g**2*r*x + 2*g**2 + 2*g*r**2*x - 7*r*x wrt g?\nAnswer: 48*g*r**2*x - 24*g + 282*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1 and 49865377521540.\nAnswer: 49865377521539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 52673539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 3747*p - 3*p**2 - 3747*p + 5 - p**2 in the form c*p + a*p**2 + q and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 8*q - 13 = 6*q, -4*t + 40 = 2*q. Suppose 4*p - t*p = -10. Factor -8*a**4 + 4*a**5 + a**2 + 2*a**p + 6*a**2 - a**2 - 4*a**3.\nAnswer: 4*a**2*(a - 2)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*-2*sqrt(448))**2 - (-6*(sqrt(28) - sqrt(84)\/sqrt(3)) - sqrt(28)).\nAnswer: 2*sqrt(7) + 44800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1839389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 90468.9 rounded to the nearest 100?\nAnswer: 90500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 42020088 a multiple of 290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -3*z**2 + 37*z - 33. Let o be i(11). Suppose o*t - 32 = -5*t. Solve 0 = 5*d - 13 - t for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2 - 32?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((sqrt(26)\/sqrt(2))**2 + -1)*-1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 + 11. Let s(v) be the third derivative of -v**5\/60 + 7*v**4\/24 - 7*v**3\/6 + 4*v**2. Does 3 divide s(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 13 - 3 = 0, 3*p = 3*h - 132. Let z = -172 + 262. What is the greatest common divisor of h and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (7 + -4)\/((-10)\/(160\/12)). Let n(k) = 8*k - 2. Let p(j) = -j. Calculate v*p(g) - n(g).\nAnswer: -4*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*o - 3*o + 4*o)*(3*o - o + 0*o) + 8*o - 8*o - 11*o**2 + (-7*o - o - 3*o)*(-5 + 0 + 3)*(-10 - 2*o + 16 + 2) to x*o**2 + k*o + t and give k.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 279 minutes after 6:57 PM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the first derivative of -z**3\/3 - 7*z**2\/2 - 13*z - 18. Let y be p(-6). What is the fourth biggest value in -0.5, -4, y, -1\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2956  (b) -1.4474  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-356)\/1440 + 4\/10. Let r = 3505\/792 - v. Find the common denominator of -46 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -333*i**2 + 672*i**4 + 1211*i**3 - 2406*i**3 + 1195*i**3 wrt i?\nAnswer: 16128*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i = 2*i - 6. Suppose -i*j = -8*j. Suppose j = -5*u + 27 + 18. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.4  (b) -0.02  (c) -0.5  (d) 39  (e) 218\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 + (56 - (-40 + 18))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 294 and 1512.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 26*k**3 - 128*k**2 - 14*k + 33. Give n(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**2 + 2*l - 3. Let m = -64 + 54. What are the prime factors of a(m)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -1. Suppose s + 4*o - 6 = 8*o, -4*s = -3*o + 2. Let k(b) = 8*b + 3. Calculate s*l(n) - k(n).\nAnswer: -8*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 106326 - -3611?\nAnswer: 112137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-24)\/(-14)*(-168)\/396*-11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -4255, -4758, -5247, -5716, -6159, -6570, -6943?\n\"Answer: b**3 + b**2 - 513*b - 3744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 15.2882748s?\nAnswer: 0.000176947625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 123 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*k - 31*k = 4*w + 4, -3*w = -k + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 83\/28 and 21\/344.\nAnswer: 2408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**2 - 5*b + 1. Let u be f(-4). Let j(z) = -84*z + 593. Let l be j(7). Find the third derivative of 14*r**u + 7 - 2 - l + 34*r**2 wrt r.\nAnswer: 840*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 43713333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5891*o - 5904*o = -182572. Is 14 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14088 is divided by 94.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 5*s = 6*s + 175, 5*s = -4*f - 155. Let c = f + 41. Let t(m) = -m**3 + 7*m**2 - 4*m - 8. Let o be t(6). Put o, c, -5 in decreasing order.\nAnswer: o, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 746, 639, 350, -211, -1134, -2509, -4426?\n\"Answer: -15*j**3 - j**2 + j + 761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-101)\/14 - 19*39\/10374.\nAnswer: -51\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*j - 144*j + 369*j**3 - 370*j**3.\nAnswer: -j**3 - 138*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/15*(-17727)\/(-1244)\nAnswer: -57\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1 + -1 - 0 - 4. Let a = 501 + x. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 3*f**2 - 2*f - 2. Let o be i(2). Let p = -4 + o. Suppose -c = p*c. Is -1 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 859954 and 1998.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 - 746?\nAnswer: -741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1223.1 - 1223. Suppose 36 = -4*u + 4*k, 3*u - 4*k + 39 = 15. Which is bigger: u or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*t - 25*t = -9*t. Suppose 26*u = b + 24*u - 9, t = 4*b - 3*u - 61. Solve b = 4*y + r, -r + 5*r - 12 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -4 and -2429.\nAnswer: -2433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-22))\/((-3768)\/3454)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 819 is divided by 399.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 3*v + 3 = 0, 13*v = 2*w + 12*v. Which is the nearest to -0.14?  (a) 1\/10  (b) w  (c) 4  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 16864463 + -16864458.0000005. Let a = z + -5. Round a to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 50 and 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -267 + 269 + (3 - (0 + 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -926.\nAnswer: -3\/926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -1\/3, -1\/191, 13\/2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1769bc (base 14) to base 3.\nAnswer: 1112220212101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 5*x - 27. Let f be p(6). Let u = 200 + -196. What is the greatest common factor of f and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yybbypbbppbbbbyb. Give prob of sequence ppby.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -4, 2*w + 0*w - 5*r = 22. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 855*a + 29. Let s(i) = -6. Calculate -b(x) - 5*s(x).\nAnswer: -855*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v - 1425 + 1485 = 0, 2*v = 13*z - 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.1 - 0.08. Let f = r + -2.02. Which is the smallest value?  (a) 4  (b) 3  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mrrmmrmm. What is prob of picking 2 r and 2 m?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put together 5 and 170229540.8275.\nAnswer: 170229545.8275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the third derivative of -x**10\/50400 - x**6\/360 - x**5\/30 + x**2. Let t(k) be the third derivative of v(k). Differentiate t(i) with respect to i.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 7130 - -4?\nAnswer: 7134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 28*((-2530)\/40)\/(-23) and 371?\nAnswer: 4081","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(17)*-2 + 3 - -2*sqrt(51)\/sqrt(3) - -6*(sqrt(68)\/(sqrt(4) - sqrt(36)))**2.\nAnswer: 57\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-1\/3))**28*t*(t\/t**(-2\/5))\/t*t*(t*t*t\/(t*t**(-2\/9)))\/t)\/((t*(t*t**0)\/t)**34)**(2\/17) assuming t is positive.\nAnswer: t**(-437\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/2  (b) -31  (c) -9971\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5881672 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -442641, -885282, -1327933, -1770600, -2213289, -2656006, -3098757, -3541548?\n\"Answer: -u**3 + u**2 - 442637*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g**2 + 3*g**2 - g**2)*(-404 - 143 - 10).\nAnswer: -1114*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 39\/2*2\/3. Suppose 0 = -4*c + 5*c - a. Calculate the remainder when 36 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 88\/2597?\nAnswer: 88\/2597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 12 = 4. Let m be d\/(-14) + (-37)\/(-7). Suppose 0*h + b + 84 = m*h, 2*h - 4*b - 30 = 0. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (33 - 28) + (1 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u - z = -0*z - 35, 7*z - 8*z + 95 = 2*u - 8*u for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 617823774 to the power of 1\/5, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -7886, -11318, -14750, -18182, -21614?\n\"Answer: -3432*l - 4454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 18 - 18. Sort t, 3, 1\/10 in ascending order.\nAnswer: t, 1\/10, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) -4  (b) -0.1  (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -63987\/61 > -1049?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -90044.511 + -0.08796\nAnswer: -90044.59896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3091\/6 + -515. What is the closest to 1 in -3\/4, c, -10\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1376*s**2 - 2143*s**2 - 74*s**2.\nAnswer: -3593*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0059 rounded to four dps?\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 5*r = 24, 3*d + 13 = 4*r - 8. Is d smaller than 74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0014504 to 5 dps.\nAnswer: -0.00145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -u - 5*u + 4*u + (73 - 89 + 224)*(-5*u + 2*u + 5*u) to z + y*u and give y.\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*u - 1617 - 2523. Suppose 2*j + u = -3*j. Let a = j + 123. Is a a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 2*o**2 + o - 1. Let d(r) = 15*r**4 + r**3 + 6*r**2 + 3*r + 249. Let p(f) = -2*d(f) + 6*w(f). Differentiate p(s) with respect to s.\nAnswer: -120*s**3 - 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -3*d - 3*b - b, -b = 2*d - 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -1.7 times -3163.8111\nAnswer: 5378.47887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1\/(-3))\/((-1)\/6). Let d = 7 - -8. What is the remainder when d is divided by (-6)\/(-4) + 5\/k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g + 3. Let s be z(8). Let i be s\/(-4) - (-1)\/(-4). Let v(n) = 16*n**2 - 1. Is 10 a factor of v(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d**3 - 30*d**2 + 91*d - 258. Let h be r(-33). Sort -14, -2, h.\nAnswer: -14, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -7*s - 5*s**2 + 0*s**2 + 0*s + 3 + 4*s**2. Let p be m(-7). Let j(a) = -2 - p + 1 + 1 + a. Calculate j(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*h + 2*h + 3*h)*(0 + 3 - 5 + (-4 + 3 + 2)*(0 - 3 + 4) + 4 + 7 - 74).\nAnswer: -128*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -18 + 20. Suppose 5*a = o*l + 441, a + 0*l = -3*l + 95. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -3*w**2 + 437*w - 5486. What is g(14)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/4*(0 - 0). Let k be (i - -1)*(2 - 9). Let o = k - -20. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -47 + 4. Let i = -40 - t. What is the biggest value in -6, 5, 1\/4, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 222 and 234 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 112021 (base 5) to base 3.\nAnswer: 12111120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (1 - -1) + (2 - 9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -2*j - 8, 40 = 5*q + 2*j. Let w = q - 5. Let t = w + 1. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38209325 a multiple of 385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2767187 to the nearest integer?\nAnswer: 1663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 134306869 to the power of 1\/3, to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -185 = -5*m + 325. Suppose 5*u - m = -z, u - 5*z = -2*z + 30. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -97*m = -200*m + 90*m + 412984. Does 28 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 741 - 786.3. Let r = q + 45. Which is the closest to 0?  (a) 3\/8  (b) r  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 3672501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 283*c - 283*c - 40288*c**3.\nAnswer: -40288*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -4711, -4706, -4699, -4690, -4679?\n\"Answer: o**2 + 2*o - 4714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 406 and 742.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the second derivative of g**4 - g**3\/3 - 7*g**2\/2 - 15*g. Let t(n) be the first derivative of c(n). What is the first derivative of t(l) wrt l?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -7  (b) 3\/2  (c) 16  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 825531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**3*n**9*n)**24 assuming n is positive.\nAnswer: n**312","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -4*p - 182. Let q be g(-52). Suppose -3*r = -1695 + 450. Suppose 5*y + 25 - r = 0. What is the highest common divisor of y and q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 727171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r**2 + 14*r. Let x be m(6). What is the tens digit of (((-45)\/12)\/5)\/((-1)\/x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.0698 * -3173\nAnswer: -221.4754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - 0 - (0 - -5 - 9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3286 - 3286 + 3778774*k.\nAnswer: 3778774*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -50600.\nAnswer: -1\/50600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 42*p - 6 + 2*p**3 - 35*p - 8*p**2 - p**3. Let n be d(7). Put 3, n, 0 in increasing order.\nAnswer: n, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1003\/(-120))\/(-17) - (15340\/480 + -32)?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*g**2 + 13*g - 32*g**2 - 89*g.\nAnswer: 3*g**2 - 76*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 347247372 and 9248.\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 3*v - 1130 = -5*r, 4*v - 939 = 3*r. Calculate the greatest common divisor of 7 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eey when three letters picked without replacement from {a: 1, g: 2, y: 2, o: 10, e: 4}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -35039 + 35039 - 4*s**3 - 28*s**2 + 32*s = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r + r**2 + r)*(819*r + 2185*r - 461*r)*(2*r**2 - r**2 - 3*r**2).\nAnswer: -5086*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 30*o**4 + 2*o**3*p - 13*o**2*p + 2*p wrt o?\nAnswer: 720*o + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxzzzz. What is prob of sequence zzx?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 - 6. Suppose -3*j + 2 = -u. Let s = 10 + -6. What is the highest common factor of j and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 300042 to the power of 1\/2, to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((sqrt(405) + 5)**2 + -5).\nAnswer: 180*sqrt(5) + 850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**3 + 3*d**2 + d - 2. Let r be q(-2). Let z = -9 - -8.7. Which is the closest to r?  (a) z  (b) -0.4  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(5082)*-2 + sqrt(5082)) - sqrt(5082))\/(sqrt(12)\/(sqrt(2) + 2*sqrt(200))).\nAnswer: -1386*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 22*l - 16. Let s be (7 - -1*1)\/(-1). Let n = -23315 + 23312. Let c(z) = -7*z + 6. Let v(i) = n*r(i) + s*c(i). Let m(d) = 8*d. Give v(m(h)).\nAnswer: -80*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 3448d (base 14) to base 15\nAnswer: 27a08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*a**2 + 4*a**2 + 3*a**2)*(6*a**3 - 10*a**3 + 3*a**3 - 62*a**2).\nAnswer: -a**5 - 62*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 5, j: 3, x: 2}. Give prob of sequence xx.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 16631009 to the nearest integer?\nAnswer: 4078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q**2 + 8*q. Suppose 119 = 4*r + 3*p, 14*r + 5*p + 105 = 19*r. Calculate the remainder when r is divided by v(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -23 (base 7) to base 14\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 2*v - 29. Let g be u(15). Let i be g\/2*((5 - 5) + 0). Solve i = -2*m - 1 + 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 501809.8624 - 501903.86240132. Let c = 160 - 66. Let k = c + q. What is k rounded to seven dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -10*d + 14. Let y = 436 - 429. Let v(m) = -5*m + 8. Let h(f) = y*v(f) - 4*i(f). Let z(c) = -3*c - 1. Determine z(h(r)).\nAnswer: -15*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 24471 (base 11) to base 9\nAnswer: 53215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -26\/41 + 611\/123. Which is the closest to 1\/4?  (a) i  (b) 0  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22 (base 3) to base 4.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -140 = 5*n - 315. Suppose 2*z + 2 = -4*m + 2*m, -5*z + n = -3*m. Which is the smallest value?  (a) 19  (b) 0.03  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -529 - -532. Let l(c) = 2*c**2 - 25*c + 69. Let b be l(i). What is the greatest common factor of b and 408?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u + u = -29280 - 19690. Calculate the highest common divisor of 118 and u.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -40*c + 28. What is the tens digit of i(-32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1449, -6176, -10913, -15666, -20441, -25244?\n\"Answer: -j**3 + j**2 - 4723*j + 3274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 4 - 1)*(-31 - 20*m + 31) + (1 + 2 - 2)*(-2*m - 2*m + 5*m).\nAnswer: 41*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 44 - 47. Let o = -23.7 - -24.1. What is the third biggest value in j, 22, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6 + 5.7. Let m = -0.5 + -4.5. Which is the second smallest value?  (a) h  (b) m  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -186.6 - 11.4. Let t = 240.5 + s. Round t to 0 dps.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 5\/((-45)\/27)*-1. Suppose -2*i = i + 2*l - 2, 3*l = 4*i + 3. Solve i*d + r = -d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (23232\/(-288))\/((-726)\/297).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-311234)\/602)\/(242\/(-22))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 + 202201221201021022?\nAnswer: 202201221201021012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 5  (b) 0.5  (c) 3.6  (d) 0.02  (e) 21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -2*c - 0. Let w be (-4)\/c + 10\/6. Which is greater: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56 = 7*l - 3*l. What is the remainder when 25 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 17 + 10 = 3*x, 5*x - 7 = 2*g. Solve 160\/7*h**2 + 80\/7*h**3 + 2\/7*h**5 + 160\/7*h + 20\/7*h**g + 64\/7 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.27 - -1.24. Let v = k + 0.03. Which is the closest to 0.1?  (a) -0.5  (b) v  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -405966 divided by 135322.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**0*m)**44\/((m\/m**(2\/15)*m)\/(m**0*m)))\/((m**(-1)\/m)\/m**(-4)*(m*m*m*m**(-1\/3)*m*m)**(2\/11)) assuming m is positive.\nAnswer: m**(13907\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 5055 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: Calculate the greatest common divisor of 2344693 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-864)\/18 + 42 - (-464)\/78?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -60 and 110.\nAnswer: -6600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*z**4 + 263973*z**3 - 3081394*z**2 wrt z.\nAnswer: -72*z + 1583838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - 8) + (-7 - 4) + 32 + -7 + -14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 771, 808, 829, 834, 823?\n\"Answer: -8*s**2 + 61*s + 718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 59745\/19  (b) 1\/8  (c) -5  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3270892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1527*o**2 - 1534*o**2 + 3063*o**2 - 6*o + 413)*(-4*o + o + o).\nAnswer: -4*o**3 + 12*o**2 - 826*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the second derivative of 5\/48*c**4 - 3\/4*c**3 + 35*c + 0*c**2 + 0. Suppose f(i) = 0. Calculate i.\nAnswer: 0, 18\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 572310 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 57.19358 milliseconds?\nAnswer: 57193.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*a**3 - 1890516 + 1890516.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y + 5. Let d(k) = 3 + 0 + 3 - 7. What is -2*d(i) - u(i)?\nAnswer: i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1284 - 1272. Let y = -1.5 - -1. Which is the third biggest value?  (a) 0.4  (b) 1\/4  (c) y  (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 11*l + 8. Let s be m(-4). Let o be ((-2)\/6)\/(2\/s). Suppose -11*v = -o*v - 140. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 15*m**2 + 110*m - 80.\nAnswer: 5*(m + 8)*(3*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -20090 - 3?\nAnswer: -20093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 6*y - 2. Let w(n) = 31*n - 10. Let d(s) = -11*o(s) + 2*w(s). Give d(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*1*sqrt(104))\/sqrt(8) + (sqrt(52) + sqrt(13) + -4 - sqrt(117)\/(sqrt(18)\/sqrt(2))).\nAnswer: -4 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 29 times 5.4?\nAnswer: 156.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 404 is divided by 395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-3\/20)\/s)\/(s\/(s**(-23\/4)\/s)))**6 assuming s is positive.\nAnswer: s**(-267\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 830 + 4705*z + 88 - 1566*z - 1572*z - 1565*z.\nAnswer: 2*z + 918","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.17 * 3297.\nAnswer: 3857.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -49552 + 7204?\nAnswer: -42348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 2*f**2 + 5*f - 308. Let n be b(11). Let d(r) = 6*r**2 - 3*r - 2. Let h(y) = 18*y**2 - 9*y - 5. Determine n*d(q) + 4*h(q).\nAnswer: 6*q**2 - 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, 0.08, 2, 0.3?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0.000868 times 0.1429\nAnswer: 0.0001240372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*v**4 + 1 - 1 + (1913*v**3 + v - 871*v**3 - 885*v**3)*(-4*v + 3*v + 3*v) to o*v + n*v**2 + c*v**4 + b*v**3 + q and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 126*p + 3. Let q(s) = 18*s**2 - 8*s - 4. Calculate u(q(t)).\nAnswer: 2268*t**2 - 1008*t - 501","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*b + b + 3*f + 50, 423*b = 421*b + 18*f + 326 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 5*i**2 + 2*i + 1. Let a(z) = -z**3 - 6*z**2 + 8*z + 9. Let y be a(-7). Let p be (3\/(-2))\/3*y. What is the remainder when 11 is divided by n(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -66*((-4)\/16)\/((-9)\/(25 - 7)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -2283*t + 4984. What is the ten thousands digit of b(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that 5*c**5 - 57902*c**4 + 23145*c**3 + 173696*c**2 + 46324*c - 46320 = 0.\nAnswer: -1, 2\/5, 2, 11580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -43*s + 269717 - 33346. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13759594 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express a**2 + a**2 + 403875 - 403869 + 337*a as r*a**2 + s + c*a and give c.\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 102120 (base 3) to base 4.\nAnswer: 10320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -24624567 divided by 3?\nAnswer: -8208189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -55402 - -2?\nAnswer: -55400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -370 = 12*j - 1786. Is j a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1254701370 and 195.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 3 = 5*k, 2*p - 4*k = 3*p + 9. Suppose 32*v + 115 = -83*v. Put p, -64, v in ascending order.\nAnswer: -64, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 42030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1*3\/2*2. Suppose -5*f - 95 = 5*b, -n*b - 5*f - 74 = -15. Let i = 25 + b. What is the highest common factor of 14 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 161924 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, 138658, -5 in ascending order.\nAnswer: -5, 1\/4, 138658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 9401*f - 291202. What is o(31)?\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 6*g**3 + 4*g**2 - 1. Let s be v(3). Let d = s + -34. Let i = d - 36. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 91\/232 and (6 - (4 - (-35)\/16))*-38?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 413 + -359. What is the greatest common divisor of 12 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -4*a**2. Let q(h) = -5 - 15*h**2 + 12*h**2 + 5. Calculate q(i(g)).\nAnswer: -48*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2, 2427056, -5, -9\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(102)*3*6 - sqrt(102)) + (6*sqrt(102)*-2 - sqrt(102)))\/((sqrt(30) - -3*(-2*sqrt(30) + sqrt(30)))\/(2*sqrt(605))))**2.\nAnswer: 32912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 158, 67, -110 in increasing order.\nAnswer: -110, 67, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50*q - 28 = -22*q. Which is bigger: q or 3\/650?\nAnswer: 3\/650","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*m - 22*m - 34*m.\nAnswer: -34*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -29 + 2. Let t be (240\/g)\/4 + 2. Which is the closest to -0.1?  (a) -3  (b) t  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(-3 + sqrt(171) + sqrt(171)*2))**2 + sqrt(684) + -2 + (sqrt(1539) + 3 - sqrt(19)).\nAnswer: -1930*sqrt(19) + 55729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from othptttllohlobhooh. Give prob of picking 1 t and 2 h.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -265 + 6046 = -152*q + 11*q for q.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the first derivative of s**6\/360 - s**5\/60 + s**4\/2 - 5*s**3 - 1. Let b(p) be the third derivative of k(p). Is b(4) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k - 4*c + 6, 0 = -k - 9*c + 8*c + 4. Suppose -2*g + 6 = 0, k*s - 21 = -2*g - g. Calculate the remainder when 45 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 6 - 2)*(-b**2 + b**2 - b**2) + (-b - 16*b + 4*b)*(-3*b + 2*b - b) + 0*b**2 - 3*b**2 + b**2 + 2*b**2 - b**2 + 0*b**2 - 5*b + 5*b + b**2.\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hoyobhhnoy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -4013  (b) 1\/14  (c) -3  (d) 4  (e) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 123 + -63. Let c = q - 12. What is the greatest common factor of 6 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 519644 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18 - 30 - (1677\/(-104) - (-14)\/4).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -212720872 by -2045393.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -5*d - 26. What is the lowest common multiple of 20 and t(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 96 and 36483.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*z - 5*h + 4409, 153 = 2*z + 2*h - 2051. Calculate the remainder when 3307 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/((-99)\/(-11))*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1 - 0)*1 + 3. Let n(f) = -48*f - 33. Let p(b) = -3*b - 2. What is z*n(d) - 33*p(d)?\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 33\/4 in -3, -5, 2\/9, -0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 5*b = 15, -3*m + 40 = -2*m - 4*b. Let s = -6 + m. What is the least common multiple of 9 and s?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 107722313 to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cici when four letters picked without replacement from ccccciccic?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2052 + -3882. What is b rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -5 > 500?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the second derivative of -n**4\/12 + 2*n**3\/3 - n. Suppose 8 = -3*u - 4. Let q = u + 7. Give a(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 151*w**2 - 408*w**2 - 282*w**2 - 3*w**2 in the form i + f*w**2 + q*w and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (8664\/(-25992))\/(71\/(-12))\nAnswer: 4\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 1*(-2*sqrt(1331)*-3 - (sqrt(1331) - (sqrt(1331) - (0 + sqrt(1331))*1))))**2 + -3.\nAnswer: 440*sqrt(11) + 33288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the second derivative of 2017*v**3\/6 + 594*v**2 + 1334*v. Find the first derivative of n(y) wrt y.\nAnswer: 2017","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1291, 10308, 34779, 82432, 160995, 278196, 441763?\n\"Answer: 1288*s**3 - s**2 + 4*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-3)\/6)\/((0 - 4)\/272). Let l(g) = a*g + 32*g - 59*g. Let r(i) = -i - 1. Let d(y) = 2*y + 3. Let k(n) = -d(n) - 3*r(n). Give k(l(z)).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -901, -958, -1089, -1324, -1693, -2226?\nAnswer: -2953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 5 = -h - 0, 25 = -4*h - o. Let f = 11.3 + -7.6. Let i = f + -4. What is the nearest to -0.1 in 2, h, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/15203 and 29\/94523?\nAnswer: 2174029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -2*j - 3. Let g be l(-2). Suppose -2*d = -3*o, 0*d = d + o + 5. Is 0 - (987\/d)\/g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 - 4. Let a = 0 - -2. Find the second derivative of -18*n**5 + 2*n**2 - s*n - a*n**2 + 22*n**5 wrt n.\nAnswer: 80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -59 - -59. Suppose -2*p = -u + 38, m = -8*u + 10*u + 3*p - 111. What is the greatest common divisor of u and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-24)\/(-18))\/(-2))\/1\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2851 divided by 1\nAnswer: 2851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 45\/11 and -22\/17949209.\nAnswer: 197441299","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*r - 15 - 9. Let c be (r\/(-10))\/(3\/10). Is c*2*-18 - 3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2944 divided by -4?\nAnswer: -736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6\/(-4) - 74\/(-4). Suppose r = -f - 3, -2*f + 3*r + 9 = 2*f. Let q be -1 - (-1 - f\/1). Solve a = 3*k - 4*g, q = 5*g + 14 + 11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 109 - 144. Let z = 27 + i. Which is smaller: z or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -90*g**2 + 62*g**2 + 6*g - 1 + 39*g**2 in the form d*g + q + t*g**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 151, 157, 163, 169, 175?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 0*q + 4 - 11*q.\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2.6?  (a) -2\/7  (b) 0.3  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 341 is divided by 68.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3589 - c30?\nAnswer: -43b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and 2\/7593 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z - 1 - 2*z**2 + 0*z**2 + 3*z**3 - 2*z**3. Let t be k(1). Let j(d) = 56*d**2 - d. Let p be j(t). What is p rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 14 - 11. Let w = -7 - -10. Suppose 0 = -g - w*g + 16. Sort g, h, -4 in descending order.\nAnswer: g, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fx when two letters picked without replacement from nfnhcxyx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 303\/2 - 151. Is 1 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 602456*s**2 - 896177*s?\nAnswer: 1204912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zs when two letters picked without replacement from fzfsqsss.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -9*2\/(-9)*2. Solve 2*l = p*l - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 3, r: 1, a: 4, t: 2, m: 1}. What is prob of picking 1 l and 1 a?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u**2 - 15*u - 2. Calculate the least common multiple of p(16) and 80\/(-6)*6\/(-5).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 123, 263, 415, 579, 755, 943, 1143?\nAnswer: 1355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the second derivative of -1\/3*x**3 + 0*x**2 + 0 - 9*x. Let f(w) = 3*w - 3*w - 8*w**2 + 3*w**2. Give f(g(b)).\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t = -4*g + 3*t - 1141, 5*t + 15 = 0. Let r = 166 - g. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*f + 3*o - 17 + 23, 4 = -2*o for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -105 divided by 3\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(495) - (sqrt(495) - (sqrt(495) + sqrt(495) + sqrt(495)*3 + sqrt(495))))\/(-4*sqrt(320)).\nAnswer: -9*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.059668547 rounded to 3 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 53589122?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -107\/126 and -77\/60.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 15*l - 13. Let h(m) = -8*m + 6. Give -4*c(r) - 9*h(r).\nAnswer: 12*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 293938\/5, -4\/7, 0.4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -12 + 14. Is m*-7*(-3)\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 6*p**2 - 4*p - 3. Let w(o) = o + 12. Let f be w(6). Let m = f + -8. Is j(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 139 = 2*j, -4*j - m + 253 = -0*j. Suppose j*w = 68*w - 264. Calculate the greatest common factor of 11 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -45391, -1, 2\/11, 1\/2, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 53*t - 463. Give w(-18).\nAnswer: -1417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 174 and 114?\nAnswer: 3306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 976\/9633 + 2\/507. Let l be (-1 - 2\/4)*(-64)\/48. Suppose -8*t + l*t = 0. Which is the smallest value?  (a) x  (b) 1\/3  (c) -1  (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 323507192 to the power of 1\/2, to the nearest integer?\nAnswer: 17986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1044003 - 12?\nAnswer: -1044020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (11\/(-2))\/((-13)\/130). Suppose -1540 = n*r - 62*r. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 3*z + 54. Let h be y(-10). Let k be (2 + (2 - 2))*156. What is the greatest common factor of k and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (8 - (-1 - -3))*-1. Suppose 7 = m + 4*z + 2, 0 = 4*m + 3*z - 33. Let s(i) = i**2 - 2*i**2 - 17 + 17 - 9*i - m. Give s(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2518?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -15*c + 11*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let 8*s**4 - 3*s**4 - 217*s + 429*s - 70*s**3 - 142*s - 5*s**2 = 0. What is s?\nAnswer: -1, 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6254528, 12509042, 18763556, 25018070?\nAnswer: 31272584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 1273+6325\nAnswer: 7598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**2 + 7*x - 13. Let z be (-3)\/(1 - 4\/6). Calculate l(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-50)\/500)\/(((-2)\/25)\/(-1))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*g + 3*g**2 + 15 + 4*g - 12 as w*g**2 + x*g + r and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**3 + 30*q**2 - 54*q - 51. Give i(28).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*o**2 - 13*o**2 - 21*o**2 + 59*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3170 + -3168. Which is the closest to 0.5?  (a) -4  (b) p  (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1043.\nAnswer: 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 454 minutes before 2:21 AM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + 4 + -1 + -2 - (290 - 330).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 27649 and 2709?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2440278170 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 5*c - 114. Let b = -199 + 220. Suppose -18*k = -b*k + 216. What is the highest common divisor of c and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-nine sixths of a year?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -156915 - -0.9?\nAnswer: -156914.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 4837 * -640\nAnswer: -3095680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -44 - -37. Is -8 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 44*z - 43*z - 74*z - 19*z - 5152 for z.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**3\/19 + 1426*q**2\/19 - 10493728*q\/19 + 7155930600\/19.\nAnswer: 2*(q - 1106)**2*(q + 2925)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b**3 - 20*b**2 - 66*b - 898. Give y(-19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -12 - (-826)\/70 - 19024*(-8)\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes before 8:36 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 484021*j**2*p + 561*j + 1969*p wrt j.\nAnswer: 968042*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (7 - (-234)\/(-45))*5. Solve 5*j - 4 = v*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 a when two letters picked without replacement from {h: 1, j: 1, w: 2, t: 1, a: 2, d: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 32, 74, 132, 200, 272, 342, 404, 452?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -5*k**2 - 43*k + 3. Let m(s) = -11*s. Calculate m(r(n)).\nAnswer: 55*n**2 + 473*n - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -229  (b) -2928.2  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*j - 242*j**2 + 83*j**2 + 1171 + 3*j**4 + 0*j - 1171 - 2*j**3 wrt j.\nAnswer: 72*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -2*l + 3*l. Let v(p) = p**3 + 2*p**2 - 1. Let x be v(l). Let b be ((-15)\/(-3)*2)\/x. Solve b*h - 2*h = -6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -46*t + 4439. Determine s(85).\nAnswer: 529","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 3*i**2 + 17*i - 6. Let w be v(-8). Suppose b + 3*n - 42 = 0, -w = -b - 2*n - 11. Calculate the greatest common factor of b and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 8*o - 5. Suppose -3*j - 4*u - 6 - 2 = 0, -j - 5*u = 21. Does 6 divide k(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -2*a - 12. Let x be v(-8). Suppose 5*w + 15 = 0, x*j - 2*w + 3 = -7*w. Solve 8*c = j*c - 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.5 + -1.9. Let y(d) = -d + 4. Let z be y(8). Which is the second biggest value?  (a) z  (b) l  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h. Let k(a) = -2*a. Let q(f) = -k(f) - 3*w(f). Let s(u) = 3*u**2 - 2*u + 2. Let i(y) = -y**2 - y + 1. Let x(d) = 2*i(d) - s(d). Give q(x(g)).\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -0.03, -17.5, 2.\nAnswer: -17.5, -0.03, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llvbo. Give prob of picking 1 v and 1 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 86 and 254.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/7  (b) 0.11  (c) 1  (d) 0.5  (e) -3\/19  (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**3 + 3*l**2 + l - 1. Let a be r(3). Let i be (-5)\/(-4)*(-3 - -7). Solve -i = a*w + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 108275 equal to 433097\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:05 PM and 12:41 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 490 a factor of 4938710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -231\/265 + -3\/106. What is the common denominator of -57\/44 and q?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 57.06 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 9235052327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add 190 and -6.\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 2.9 times -0.637\nAnswer: -1.8473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**3 + 31*r**2 - 233*r - 18. Give d(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 4422949936 from -3.\nAnswer: -4422949939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.004363053 rounded to six decimal places?\nAnswer: -0.004363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(10)\/(sqrt(5) + 2*sqrt(15)\/sqrt(3)).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.303 times 15?\nAnswer: 4.545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-25*l + l + 0*l)*(11*l**2 - 6*l + 6*l - 2*l + 1).\nAnswer: -264*l**3 + 48*l**2 - 24*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 23121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -19 + (-7 - -4) - -6 - -4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 241 and 1687?\nAnswer: 1687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 2, r: 4, c: 2, l: 2, o: 1, g: 4}. Give prob of picking 3 g.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 15*x + 16*x**2 - 105*x**2 - 187*x**2 + 7*x**2.\nAnswer: -269*x**2 + 15*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m + 11. Let i be f(6). Let v be (-2)\/i*(-50)\/30. Suppose w + 19 = y - 5*y, -3*w - 5*y = 22. Which is smaller: w or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 0*c = 4*c + 2690, -2*c + 2690 = d. What is d rounded to the nearest one hundred?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 474496172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 1 + 18*o - 1 + 17*o - 3.\nAnswer: 35*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-2))**(2\/49)\/((t\/t**(-2\/25))\/t*t*t\/(t*t\/t**(-2\/25))) assuming t is positive.\nAnswer: t**(-4\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 21621795?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -60*x + 121*x - 62*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + j = 5, -8*h - 10 = -7*h - 2*j. Let f be 3 + h + 7\/((-28)\/(-12)). Solve -f = -0*c - 2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7498 * 2.\nAnswer: -14996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 33\/(-3) + (-27020)\/(-2499) and -26\/357?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 84068 and 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1020\/28)\/(-5) + 0. Let i = y - -31\/35. Calculate the common denominator of -7\/4 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2660808 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the second derivative of -m**11\/27720 - m**7\/840 - m**4\/4 + m. Let i(a) be the third derivative of y(a). Find the third derivative of i(j) wrt j.\nAnswer: -240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 75*c**2 - 35*c**2 + 72*c**2 - 4*c - 12*c**2 + 0*c to the form l*c + k + j*c**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 4*k**2 + 24*k + 2. Let j(h) = h**3 + 4*h**2 - h + 28. Let r be j(-5). Does 10 divide w(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22917 = -23*t + 246426 + 232719. List the prime factors of t.\nAnswer: 2, 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 2*m - 10 = 0, 13*m = -4*f + 17*m + 32. Solve -2*t = 14 - f for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 75*h**4 - 2*h**3 - h**2 - 7*h + 668438 with respect to h.\nAnswer: 300*h**3 - 6*h**2 - 2*h - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 964*d - 1912. Let k = -23 + 35. What is the smallest common multiple of p(2) and k?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (8 - 8)\/((-4)\/(-1)). Let z(a) be the third derivative of -1\/240*a**5 + 1\/24*a**3 - a**2 + 0 + 1\/96*a**4 + d*a - 1\/480*a**6. Find g such that z(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -70*o**2. Let l(v) = 4*v + 3. Let p(a) = -22*a - 16. Let t(k) = -16*l(k) - 3*p(k). Determine t(j(n)).\nAnswer: -140*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/5676 and 107\/13547064?\nAnswer: 149017704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:42 PM and 4:22 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:10 PM and 1:21 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1684, -2.8, -3\/2 in descending order.\nAnswer: 1684, -3\/2, -2.8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 39 and 494723294.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 2  (b) -2.9  (c) -0.5  (d) -2  (e) -5  (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l\/(l\/(l*l**5)*l*l*l))*l**(-4))**(-9\/11) assuming l is positive.\nAnswer: l**(54\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 125\/4065648 and 91\/432.\nAnswer: 36590832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.3 and -733?\nAnswer: -219.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 6*2*5*-1*((sqrt(272) + -2*sqrt(272))**2 + sqrt(272) + -1).\nAnswer: -16258 - 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -19\/5994 or 10\/37?\nAnswer: 10\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 625\/30 - (-1)\/6.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -5*f**2 + 2*f - 3. Suppose -4*y - 3*y + 28 = 0. Suppose 7*g = 2*g + y*l + 12, -l - 10 = -3*g. Let v(x) = 9*x**2 - 3*x + 5. Give g*v(m) + 7*j(m).\nAnswer: m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -4*n**3 + 10*n**2 + 132*n - 40. What is t(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 160 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8389150 and 550.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*d**3 + 6148358*d**2 - 6148358*d**2.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4401, -4389, -4391, -4413, -4461?\nAnswer: -4541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 16 = 2*u, -p + 5*u - 4 = 2. Suppose -p = 7*a - 3*a. Let f = 4 - 2. What is the nearest to -1 in 0, f, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 41*t**3 + 128*t**2 + t - 154. Let y(n) = -14*n**3 - 43*n**2 + 51. Let b(i) = 3*c(i) + 8*y(i). Suppose b(d) = 0. Calculate d.\nAnswer: -3, -18\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1094342 divided by 2.\nAnswer: -547171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + -199338917866.\nAnswer: -199338917861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1748 + 5069 = 187*i - 106*i for i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 9.360265 minutes?\nAnswer: 561615900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 12*z**2 + 3*z - 1. Let w be h(9). Suppose 0 = 2*n - 4*m - w, 5*n - 2*m - 1485 = 2*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s + 18. What is the tens digit of d(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the first derivative of 5*g**3 - 132*g**2 - 108*g + 56. Suppose h(s) = 0. What is s?\nAnswer: -2\/5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43788737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + 5 + -4 + 0 + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 102102201110111 (base 3) to base 15.\nAnswer: 8006d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6636090?\nAnswer: 2, 3, 5, 221203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*a + 265 - 1105 = 0. Calculate the greatest common factor of a and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 4*m = -8, 5*n + m = 11 + 7. Suppose n*g - 282 = -90. Suppose 0 = 2*d + x - g, 3*x = -d + x + 21. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n + 22. Let r be t(-16). Let f be 42\/9 - 8\/r. Factor 12*g**3 - 16\/3*g - f*g**4 + 0 - 8*g**2.\nAnswer: -2*g*(g - 2)**2*(5*g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 1, u: 2, h: 1, a: 2}. What is prob of picking 1 u, 1 h, and 2 a?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 85.95174 meters to millimeters.\nAnswer: 85951.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the third derivative of 17*t**5\/60 - 7*t**4\/6 - 31*t**2. Find the second derivative of m(a) wrt a.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1093 > -1092?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that -5*a**5 - 185*a**4 + 1320*a**3 + 11960*a**2 + 26480*a + 18480 = 0.\nAnswer: -42, -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g - 16 = 4*d, -8*d = -167*g + 166*g + 2 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-2\/59)*y*(y\/(y\/(y\/(y\/y**(3\/7)))))\/y)**26 assuming y is positive.\nAnswer: y**(4238\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 2 = 2*m. Let v = 178 - 142. Suppose -8*s = 4*s - v. Solve -m*q + 0*q = s*t + 7, -t + 3*q + 16 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: ((-60574)\/558 - -57) + 52\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 294 divide 4478432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27081 is divided by 403?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -dc9 (base 16) to base 12.\nAnswer: -2061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 times -39?\nAnswer: -7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i + 0*i - u = 0, i + 1 = -u for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0096134 rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**21\/t**24)\/((t**(6\/11)\/t)\/t*t)**35 assuming t is positive.\nAnswer: t**(142\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2285751\/253 at least 9035?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14090412 divided by -3486.\nAnswer: 4042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 times -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*m + 351 = -0*n - 5*n, 5*m - 5*n - 51621 = -51846 for m.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1269*k**4 - 1565*k**2 wrt k.\nAnswer: 30456*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k - 3*k + 4*k)*(2 + 0 - 5) + 2 + 1 - k - 4.\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 9833271586 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1253060028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - (2 + (2 - 2 - 2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -66290*a*d**3*v**2 + 115*a*d**3*v + d**3*v**2 - 100*d**3 + 2*d**2 - 3*d*v - 394*v**2 - 2 wrt a?\nAnswer: -66290*d**3*v**2 + 115*d**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 855*z**4 + 1090*z wrt z.\nAnswer: 10260*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -20*q**3 + 123*q**2 + 175*q + 6. Let p(t) = -3*t**3 + t + 1. Let j(a) = -5*p(a) + r(a). What is the second derivative of j(m) wrt m?\nAnswer: -30*m + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(243)*-3)**2 - (sqrt(48)\/sqrt(4) + sqrt(12) + -5)**2 - (3 + sqrt(6)\/(sqrt(162)*2) + 4).\nAnswer: 719*sqrt(3)\/18 + 2107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 288259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -11 - 8*r**3 - 2*r**2 + 9 - 48*r**3 - 2*r**4 - 16*r**3 in the form b*r + i*r**3 + s*r**4 + h + o*r**2 and give i.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the second derivative of l**3\/6 + 9*l**2 - 4*l. Let v be g(14). Suppose -v = -0*y - 8*y. Solve -q + y = -j + 2, -5*j + 2*q = -2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.35, -2, 2\/7, 4\/13 in descending order.\nAnswer: 4\/13, 2\/7, -0.35, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -3*j + 7. Let l be n(9). Let q = l + 29. Let v(d) = -d + 2. What is the least common multiple of q and v(-6)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1 + 0 + 3*(-6)\/15. Let w = -21 - -14. Let d = w + 7.1. What is the third smallest value in u, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2.05 - -2.45. What is the third biggest value in 3, -3, 0.9, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 605 and 440?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -65 - -74. Find the third derivative of 3 + 11*y**2 - c*y**3 - 3 wrt y.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the third derivative of -n**8\/504 - 2*n**7\/105 - n**6\/20 - 2*n**5\/45 + 400*n**2. Factor f(y).\nAnswer: -2*y**2*(y + 1)**2*(y + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/84 - 2\/(-8)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 10 + (2 - 6) + -9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*i**3 + 2*i**3 - 4*i**3)*(521 - 789 - 796) in the form s + o*i**3 + r*i**2 + m*i and give o.\nAnswer: -1064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.0450212*0.2\nAnswer: 0.00900424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g*(g*g**3\/g)\/g*g**(-4\/11) assuming g is positive.\nAnswer: g**(29\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f**2 - 4*f + 4. Let q be x(-4). Suppose 17 - 5 = q*w. Solve w*u = -y + 4, -5*u + 2 = y - 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 14\/(-49) + (-170)\/(-7). Let r = o + -11. Solve -3 = 4*j + r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/(-4)*53\/(-530))\/(0 - (-11)\/(-8)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 557, 8343, 21319, 39485?\nAnswer: 62841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 2888, 4127, 5376, 6641, 7928?\n\"Answer: c**3 - c**2 + 1235*c + 1653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1 + 5*(-24)\/(-20). Suppose -3*y - 24 = g*y. Let h = 1.5 - 1. Put 3, y, h in descending order.\nAnswer: 3, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 480\/36 + 1\/(-3)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 + -2d42ab?\nAnswer: -2d42b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6845263 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52554 - 157173 = -590*i + 932*i + 2091*i for i.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -32*r - 3. Let j(l) = 1184*l + 112. Let d be 460\/4830 + 256\/(-42). Determine d*j(o) - 224*q(o).\nAnswer: 64*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8886863?\nAnswer: 31, 286673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -172542 (base 9) in base 16?\nAnswer: -1a17d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nykbbykbkycnbnnc. What is prob of picking 2 k and 2 n?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = j + 4*t - 15, -16*j + 21*j + 5*t - 15 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1 - 1 - -1)*(12 - (-3 + 12)). Let a(r) be the third derivative of 0*r**b + 0*r**4 + 29*r**2 + 1\/10*r**5 + 0*r + 0. Let j(m) = 3*m. What is a(j(c))?\nAnswer: 54*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -2*g**2. Let b(v) be the second derivative of 1\/12*v**4 + 0*v**2 + 0 - 2*v + 0*v**3. Determine u(b(a)).\nAnswer: -2*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 11 = 5. Suppose d**4 - 2*d**4 - 2*d - 15*d**3 - 5*d**2 - 6*d**3 + 17*d**z = 0. What is d?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1 + -8 + 12\/(-4). Let b = t + 22. What is the smallest common multiple of b and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 783722180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/(-20) - 34\/8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -13069 + 18962. What are the prime factors of p?\nAnswer: 71, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 460.9295 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -2090487, -2090492, -2090499, -2090508, -2090519?\n\"Answer: -a**2 - 2*a - 2090484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*t + 15*t + 6*t**2 - 42*t + 12*t.\nAnswer: 6*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 94 + -90. Let t(o) = o + 1. Let q be t(1). Let i(x) = -p*x**2 + 6*x**2 + 2*x**2 - 3*x**q. Let g(y) = 11*y. What is i(g(v))?\nAnswer: 121*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**3 + 2*q**2 + q - 1. Let s be u(2). Let d = 5 - 17. Let z be (s\/(-3))\/((-22)\/d). Which is the third biggest value?  (a) 3  (b) 0  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.4  (b) -6  (c) -4.5  (d) 8  (e) 863\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 79128851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 - -10. Suppose -b*l + 13*l = -12. Which is smaller: -0.3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 72.18298 rounded to 1 dp?\nAnswer: 72.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:23 PM and 5:08 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 3, -44, 2, -5, -1, -893.\nAnswer: -893, -44, -8, -5, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the third derivative of 6223*p**5\/60 - 747*p**4\/8 + p**3\/3 - 3441*p**2. Find the second derivative of s(a) wrt a.\nAnswer: 12446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 93574 to the power of 1\/2, to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 153, 46, 3, 43, -3 in decreasing order.\nAnswer: 153, 46, 43, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Do 1972 and 390 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 1064 = 4*t, 9*d - 5*t + 838 = 12*d. What is the remainder when d is divided by 64?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2423, 7718, 16543, 28898, 44783?\nAnswer: 64198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 1 = 0, 28 = 5*h - 0*a + 3*a. Suppose -h*q = 5*r - 35, 3*r - r - 21 = 5*q. Let x(w) = w - r + 8. Let z(b) = -3*b. Determine x(z(m)).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the second derivative of 11\/2*v**2 + 2*v**3 + 0 + 17*v. Find the first derivative of a(f) wrt f.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 54401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 97 divide 30829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -16.16 less than -1572437?\nAnswer: -1572420.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:30 AM and 8:11 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4*-298.\nAnswer: 119.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 439071?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 19\/7 of a week in hours?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 308 and 273644?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t**29*t))**(2\/167)\/(t**(-1\/2)\/(t**(-38)\/t)) assuming t is positive.\nAnswer: t**(-12975\/334)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -31 in 8, -0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 27*p**2 - 6*p - 17. Is h(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 minutes before 6:20 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 661 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: What is next in -43985, -43568, -43147, -42722, -42293, -41860?\nAnswer: -41423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -b - 63. Calculate the greatest common divisor of b and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4613465 and 2755?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 5*d = -6, 0 = z - 6*z + 4*d - 19. Let o(a) = -142857*a + 1. Let l be o(z). What is l rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4097 in 3, -0.2, 3\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 3367, 10527, 21467, 36187, 54687?\n\"Answer: 1890*b**2 + 1490*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -55\/339804 and 81\/10118608.\nAnswer: 91067472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p**3 - 73*p**2 + 49*p - 642. What are the prime factors of a(74)?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 258.85 rounded to the nearest ten?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -700224*h*s*t**2 + h*s*t - h*t**2 - 2*h*t + 62*t**2 + 15293*t + 1 wrt s?\nAnswer: -700224*h*t**2 + h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 528 - 487. Solve -36*f = -n*f - 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 3, n: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.2 - 2. Let b = y + 0.8. Let d = -114 - -118. What is the closest to b in d, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 + 6. Let k be (-3)\/(3 + -4 + 0). Suppose 0 - l = h + k*w, 3*w + 3 = -3*h. Do -12 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 31299 - 15652 - 15647 + 1408*k to q + w*k and give w.\nAnswer: 1408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:39 AM and 1:34 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -4*o**2 - 42474*o + 114766 wrt o.\nAnswer: -8*o - 42474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/22584 and 41\/60224.\nAnswer: 180672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 322 minutes before 12:48 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 6*x**3 + 37*x**2 + 75*x + 51. Calculate o(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 469*t**2 + 4383*t**2 + 1963*t**2.\nAnswer: 6815*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 85182 is divided by 529.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -211, 37 in ascending order.\nAnswer: -211, -3, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -76 + 88. Let y(t) = t**3 + 6*t**2 + 2*t - 2. Let o(z) = z**2. Give m*o(d) - y(d).\nAnswer: -d**3 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 5*o - 70 = 0, 4*o + 1 = d - 22. Let p(n) = n**2 + 19*n + 50. Let r be p(-16). Suppose -w = 1 - 3. Solve -v + d = w*g + 4*v, -2*g + r = 2*v for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 75724135 to the power of 1\/2, to the nearest integer?\nAnswer: 8702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 2*sqrt(125)*2 + (1*(sqrt(125) + -1 - sqrt(125))*-6)**2)*-6*-3.\nAnswer: 576 + 360*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = 5*k - 39, 3*z - 6*z - 41 = -5*k. Suppose 3*x = k*x - 20. Determine y, given that -9\/4*y**x + y + 0 + 3*y**4 - 3*y**2 + 5\/4*y**3 = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 885 - 344. List the prime factors of o.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from rrrykzz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x - 2*x**2 + 2*x)*(-671 + 671 - 18*x**3) - x**5 + 2*x - 2*x.\nAnswer: 35*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 116 + -62. Suppose -3*b = 2*q - 57, q - 3*b - 48 + 15 = 0. Let o = i - q. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*m - 5*m + 4712. Suppose -296 = -h + 3*j, 2*h - 6*j - m = -j. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2781 (base 9) in base 10?\nAnswer: 2098","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 169 + (2 - (-1 + -3)). Let z = c - 4549\/26. Let k = 5.05 - 0.05. Sort z, 0.1, k.\nAnswer: z, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 79 = -166. Let n be -7*(0 + -1) - 0. Calculate the greatest common divisor of n and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2293331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -2*g + 11. Let r be s(4). Suppose 0 = 2*z - 5*o - 5, -6*o = r*z - 5*o - 16. What is the least common multiple of (-2)\/(3 - 1) - (z + -22) and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-132)\/(-16))\/(-11))\/((-27)\/6)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1011000001001100 (base 2) to base 7.\nAnswer: -245403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jrhqdhdjjdphjjdpp. What is prob of picking 3 j and 1 h?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(48\/(-140))*8\/(-28).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -24499*n + 24497*n + 3*d - 1, -10*d = n - 57 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 824 = -1669. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -24, 192, 530, 972, 1500, 2096, 2742?\n\"Answer: -3*h**3 + 79*h**2 - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 77638 at most 77636?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = 3*m + 11, m + 5 - 8 = -a. Let x(f) = 6*f - 57. Let q be x(10). Solve 5*k - 23 = -q*w - 1, 0 = -a*w + 16 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5670 and 90.\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2109553\/426 + -4952. Let j = o - 1174\/1065. What is the common denominator of j and 107\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 2*x - u + 3 = 0, 3*x + 2*u = 6. Suppose 0 = -4*s - 2*i - 3*i + 426, 206 = 2*s - i. Suppose -4*l = -x*l - s. List the prime factors of l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -5, -1\/4, 3, 10\/11, 0.24?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 16 - 88 - n**2 + 55*n - 9 - 157 - 11. Let w be l(5). Calculate the greatest common divisor of w and 31.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 3*q**2 - 3*q - 17. List the prime factors of f(5).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -76 - -77. Suppose 4*z + 69 = -59. Let h = -17 - z. Solve t + 3*c + l = -h, -5*t + 4*c + 15 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z**3 + 29*z**2 + 42*z + 51. Let m be (-108)\/10*3\/(66\/55). What is the units digit of b(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/l**(-20))\/l*l*l*l\/(l\/l**(-4\/11))*(l\/((l*l*l\/(l*l**(-3\/2)*l))\/l))**(-46))**(-1\/56) assuming l is positive.\nAnswer: l**(-491\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 8*(-2)\/(-288)*(-16)\/4*2\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 101000000000 (base 2) to base 9\nAnswer: 3454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 2*u**2. Let t(a) = 2438911*a**2. Determine t(b(p)).\nAnswer: 9755644*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10180 is divided by 76?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -29*i**2 - 2*i. Let o be m(-2). Let g = -62 - o. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -91 - -75. Let t = i + 7. Let b(k) = -10*k - 17. What is the tens digit of b(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*c + 4943 - 1239 - 1220 - 1220 - 1264.\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*((-46)\/92)\/((-2)\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of -3 + 93\/9 + (-5)\/(-3) and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*p**2\/3 - 7091*p\/3 + 1182 = 0. What is p?\nAnswer: -3546, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -309, -3\/4, 8, -9\/5, -2\/75 in ascending order.\nAnswer: -309, -9\/5, -3\/4, -2\/75, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let -159*j**2\/4 - 5147*j\/2 + 3300 = 0. What is j?\nAnswer: -66, 200\/159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36290 = 552*u + 807*u + 445*u - 184218 for u.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(117) + sqrt(117)*2*-2)\/((1*sqrt(63))\/sqrt(7)).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = -0*d + 3*d - 28, -3*d + 3 = 0. Let n be (2\/(-3))\/(m\/(-210)). Suppose -c - i + 32 = -5*i, -2*c = 4*i - n. Round c to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 114 - 57 + 18*c + 2*c**2 - 57 - 4*c**2.\nAnswer: -2*c**2 + 18*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -5*b**2 - 5*b + 3. Let w be d(2). Let n = 33 + w. Let p be (-5)\/(-12)*(2 + n). Which is smaller: p or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*c + 3*c + 7 + 22)*(-1 + 0 - 4).\nAnswer: -15*c - 145","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 99 and 9918?\nAnswer: 109098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 141304873533.7 plus 146?\nAnswer: 141304873679.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -66102 divided by -2?\nAnswer: 33051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*h**3 + 0*h**3 - 3*h**3.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -b332 (base 12) to base 6\nAnswer: -230102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 212523264 + 6?\nAnswer: 212523303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-1\/4)*i*i**(2\/3))\/((i*i**(1\/5))\/i**(-3)))**14 assuming i is positive.\nAnswer: i**(-1169\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 38017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.099 - -4.981. Let k = 0.08 - p. Let h = k - -5.3. What is the second smallest value in h, -2, 3\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2 - -1254?\nAnswer: 1256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -254 + 584. Is a <= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -16*t**2 + 65*t**2 + 69*t**2 - 14*t**2 + 83*t - 1 + 3*t**3 - 81*t in the form s*t**2 + k*t + i*t**3 + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3396414 and 153?\nAnswer: 173217114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 347, 348, 349, 350?\n\"Answer: z + 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3828 + -141. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 52278 = -2*k, -2*k = j - 9811 - 3260. Let i = -2166 + j. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 2*a = 1206, -3*k - 139*a + 137*a + 906 = 0. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 208, 2442, 6166, 11380, 18084?\nAnswer: 26278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*t**3 - 76764*t**2 + 368486316*t - 1840512980.\nAnswer: 4*(t - 9593)**2*(t - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -17 + 22. Which is the closest to -2\/5?  (a) -5  (b) 0.1  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10 and 215718770?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4.45 or 0.1?\nAnswer: 4.45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 5*p + 7 - 4 - 6 + 24*p**3 - 2*p**2. Is n(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = 4*n - 1060, 3*n - 1176*t - 798 = -1173*t. What is the smallest common multiple of 528 and n?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -2*u**2 + 45*u + 11. What is the least common multiple of 10 and t(10)?\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1386, -2735, -4080, -5421, -6758, -8091?\nAnswer: -9420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5477, 10764, 16051?\nAnswer: 21338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -2850*f**2 + 15*f. Let l(t) = -1422152*t**2 + 7480*t. Determine 1496*g(x) - 3*l(x).\nAnswer: 2856*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 3130 (base 15) to base 13\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0.3, 77, -11 in ascending order.\nAnswer: -11, 0.3, 3, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:00 AM and 9:34 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(1\/4))**(4\/13))**19 assuming w is positive.\nAnswer: w**(19\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (2054\/325)\/((-12)\/5) and -47\/90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + -46 - (796 + -833)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6\/8 + 39\/(-52). Suppose -5*h + 5 + 5 = p. Suppose l = -3*t + 3, -5*t - h*l + 5*l + 19 = 0. Solve -t*f + f = 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 96989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2017 = -3*x - 5*t - 614, 8 = 2*t. What are the prime factors of x?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 115\/3 - 39. What is the nearest to -1 in p, -0.4, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y\/(y\/(y\/y**(4\/7))))\/((y**(-1\/7)*y)\/y*y))\/((y**(2\/11)*y*y)\/(y\/(y*y**2))))**(-25) assuming y is positive.\nAnswer: y**(8875\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 297, 316, 359, 432, 541, 692, 891?\nAnswer: 1144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes after 1:01 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**2\/7 - 4321*c\/7 - 4108646\/7.\nAnswer: (c - 5123)*(c + 802)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1166*s = 1170*s - 2*y + 14, 3*s + 5*y = -43 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/(-2)*(-102)\/34 - 3\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 6) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 819 - 820. What is the fourth smallest value in q, -11, -4.8, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 23, 60, 111, 170, 231, 288?\nAnswer: 335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 750 is divided by 196.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1350 is divided by 227?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 385*a**3 + 35215*a**2 + 1008895*a + 9260145.\nAnswer: 5*(a + 23)**2*(77*a + 3501)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = -4*c + 29. Suppose c = 6*i + i. Suppose 3*b - i = 43. Is b not equal to 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27003103327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*z = 11*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 331*b**2 - 329*b**2 + 7*b**2 - 6.\nAnswer: 9*b**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.6229 to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*t - 8*t**2 - 4*t**3 + 10*t - t**2 + 0*t**2.\nAnswer: -4*t**3 - 9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 967\/100 - 86653\/8900. Let h = d + -3\/89. Which is the nearest to -2?  (a) -4  (b) 0.5  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*t + 6*t - 4*t)*(4*t**3 + 4*t**3 - 75*t**3) in the form q*t**4 + b*t**3 + v + s*t + m*t**2 and give q.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wccllewpwtwtle. Give prob of sequence pl.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 2 - 2*a**2)*(-20 - 2 - 19) as b*a + t + u*a**2 and give u.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 10*k**4 - 3*k**4 - 5*k**4 + (2*k**2 + 2*k**2 - 3*k**2)*(-k**2 + 3*k - 3*k).\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -3*h**2 - 11*h - 1. Let u(m) = -2*m**2 - 6*m. Let l(f) = -3*c(f) + 5*u(f). Let t(y) = y**3 - 3*y**2 - 3*y - 1. Let v be t(4). Give l(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -285*w = -292*w + 28. Solve -3*c = -0*c - 4*f + 1, -w*c - 3*f + 7 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 485?\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 237 = 3*w, 6*w - 2*w + 3*y = 341. Suppose -1354 - 494 = 3*r. Let z = r - -637. What is the remainder when w is divided by z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 239671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 3*f**2 - f. Give q(-4).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z**3 - 9*z**2 + 6*z - 41. Let q be f(-10). Is 5 a factor of 14329\/138 + q\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2875+-2\nAnswer: -2877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1433 - 1432 - 1445 - 1440 + 5750 - 1030*f**2.\nAnswer: -1030*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -357 - -514. List the prime factors of c.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 83865.01 litres to millilitres.\nAnswer: 83865010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the second derivative of -i**3 + i**2 + 11*i + 1. Calculate c(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 171 + -3. Let f(c) = c + 9. Let v be f(-9). Suppose -196 = -o - 4*o + 2*y, 4*o + 4*y - k = v. Calculate the greatest common divisor of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -3*x**2 - 19*x + 42. Let g(u) = 3*u**2 + 16*u - 42. What is -6*g(n) - 5*v(n)?\nAnswer: -3*n**2 - n + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -49107, -392059, -1322927, -3135669, -6124243, -10582607?\nAnswer: -16804719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 2*j**2 + 2*j - 5. Calculate q(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 59*z**2 - 15*z + 2. What are the prime factors of i(2)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/r**(1\/21)*r)**(-2\/17)*(r**31\/r)**(-5\/6) assuming r is positive.\nAnswer: r**(-9007\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 6, g: 12}. Give prob of sequence ngg.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g. Let w(u) = 2*u + 1. What is -w(a) + 3*x(a)?\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 413158*n - 823650?\nAnswer: 413158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h + 6*h + 4 = 0. Let u(c) = -c**2 + 4*c - 1. Let m be u(h). Let b = 3.9159 - -0.0841. What is the closest to m in b, 3, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wtxwtxwxxxw. What is prob of picking 2 w?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -69\/14416 and -97\/204?\nAnswer: 43248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -131*d**2 - 11 + 9*d + 129*d**2 + 2*d**3 + 4*d**2 - 2*d**4 to the form s*d**4 + h + x*d + r*d**2 + i*d**3 and give h.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -426 (base 9) to base 13.\nAnswer: -20a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -112 + -1100012?\nAnswer: -1100201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5933\/40 + -686\/5. Find the common denominator of w and -87\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -26*t - 6. Let g(v) = 7*v + 13*v + 1 - 15*v. Give 2*d(i) + 11*g(i).\nAnswer: 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 197*u = 195*u + 4*p + 100, 4*u = 4*p + 108 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -p*u**2 + 272082*p*u + 89368*p + 2*u**2 - 3 wrt u?\nAnswer: -2*p*u + 272082*p + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6 and 122981795?\nAnswer: 737890770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 100*r**3 - 3*r**2 - 95*r**3 + 3*r**2 + 1 + 2.\nAnswer: 5*r**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.14085 to two decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 3161568539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 77488, 809, -5 in descending order.\nAnswer: 77488, 809, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -7 + 1. Let h be (6 + -15)\/((-3)\/u). What is the remainder when 17 is divided by h\/((-4)\/(-60)*9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.2 - 2.5. Let u be (1\/(3\/(-6)))\/(-1). Let m be 3\/9*(-2)\/u. Which is the closest to m?  (a) 0.1  (b) -1\/7  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 940429, 1880883, 2821337, 3761791, 4702245?\n\"Answer: 940454*a - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**3 + 209*b**2 - 10108*b.\nAnswer: -b*(b - 133)*(b - 76)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-268 - 696 + 423)*(0*u**4 + u**4 + 3 - 1)*(2 + 2 - 2).\nAnswer: -1082*u**4 - 2164","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 2*h - 35 = y, -2*h = -2*y - 68. Let t = -67 + 101. Let m = y + t. Solve m - 3 = 2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -1.44, 0.3, 4, 0.5, 0.02?\nAnswer: -1.44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -15 + 16. Suppose k - 4*o + o + 5 = 0, 0 = -5*k + 3*o - i. Let s be ((93 - -1) + 1)\/k. Calculate the greatest common factor of s and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.09?  (a) -2\/7  (b) -2\/17  (c) -8  (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/2, 1\/3, 14\/5, 11 in increasing order.\nAnswer: 1\/3, 1\/2, 14\/5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -1525992 divided by 78?\nAnswer: -19564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2.9 + -2.1. Put 3\/4, 0.4, h in decreasing order.\nAnswer: 3\/4, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 17 - 28. Let u = 13 + s. Let m be (-4)\/(-4 + (4 - 1)). Is m >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-6)\/(-3))\/(4\/(-16)). Let p be (-6 + 5)\/((-2)\/4). Suppose -28 = 4*t + 3*y - p*y, -y = -2*t - 14. Which is smaller: j or t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 - 3 = -3*k + 2*x, -5*k = 4*x - 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -2*u**3 + 7*u**2 - 10. Let i be j(3). Which is the fourth smallest value?  (a) 0  (b) -0.97  (c) i  (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 2*y - 14 = -v, y = -v - 1. Suppose -2*p + 0*z + v*z = -418, 2*z = 3*p - 631. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 155146*a**3*d + 2*a**3 - 27*a**2*d + 5840*a*d wrt a.\nAnswer: 930876*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4794 + 5348. Calculate the remainder when r is divided by 243.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1148 rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 328 and 136366.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -2*l - 169. Let a(s) = 479698*s. Determine x(a(v)).\nAnswer: -959396*v - 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((-1*sqrt(165))\/sqrt(3))\/(1*sqrt(45)).\nAnswer: -sqrt(11)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**3 + y**2 + 1. Let c(a) = 56*a**2 + 2 + 10*a**3 + 6 - 48*a**2. Give -c(v) + 8*f(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 15 - (-4 - (6 - (18 - 0)))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 40448 divided by -4?\nAnswer: -10112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/7, 1.4, -6, -0.2, -0.4 in descending order.\nAnswer: 1.4, 1\/7, -0.2, -0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = j - 5*j, -4*a + 22 = 2*j. What is the units digit of -8*(-27)\/a + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 18 + -6. Is (-4)\/(-6) - (-1012)\/z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from llrlrrrlrrlrll?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cco when three letters picked without replacement from {o: 8, c: 11, q: 1}.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -6 - -21445414?\nAnswer: 21445406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -13*n + 1512. What is m(10)?\nAnswer: 1382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 884329292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*x**2 + 8*x**2 - 9*x**2 + 5*x**2.\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 0.4, -1, -0.3, 26, -311\/132?\nAnswer: -311\/132","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 48487457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5.9 + 6. Let n = 2.4 + -3.4. Which is the closest to l?  (a) n  (b) 3  (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-5*sqrt(304) + (sqrt(95)\/sqrt(5)*-3)**2 - (sqrt(95)\/sqrt(5) + -5)*-3).\nAnswer: -85*sqrt(19) + 780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -25134 - -301697\/12. Calculate the common denominator of v and ((-3)\/5)\/(4\/310).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i**5 + 1096*i**4 + 82420*i**3 + 1014400*i**2 + 4498000*i + 6760000 = 0. What is i?\nAnswer: -130, -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*i + 7*i - 2*i + 3*i**2 + 15*i - 27 - 10*i to the form s*i + b + n*i**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -27*w - 208. Let d be z(42). Let b = -333 - d. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 6 - 28 = 0. Let u = c - -15. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 167*q - 10815. Calculate m(65).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 3*c + 2*c. Let n be 432\/(-9) - (0 - 2). Let j = -38 - n. What is the least common multiple of c and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.6 - 39.6. Is d greater than or equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 7 + 908?\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -774 minus -2.98?\nAnswer: -771.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-2\/5)*x**(2\/7))**38 assuming x is positive.\nAnswer: x**(-152\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 + 0 + (-6 + 4 + 4)*(-2 + 2 - 2))*((3 - 13*m - 3)*(2*m**3 - m**3 + m**3) + 2*m**2 - 2*m**2 + m**4).\nAnswer: 125*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 - ((10 - 17) + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 + 1.4. Let f = -0.45 - 3.55. What is the nearest to 0 in h, f, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 22101?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 625558?\nAnswer: 2, 312779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the second derivative of -5*s**4\/12 + 5*s**2\/2 - 10*s. Factor q(k).\nAnswer: -5*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -4*w**2 + 1. Let f(a) be the second derivative of a**3\/6 - 191*a. Calculate f(i(b)).\nAnswer: -4*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10.96 + 10.76. What is the closest to 0 in n, 2\/11, 3, -0.4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6609 rounded to 2 decimal places?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5420?\nAnswer: 2, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 524969 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wwge when four letters picked without replacement from {e: 6, w: 11, g: 2}?\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y + 3. Let t be 2\/10 + 16\/(-5). Does 2 divide j(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 99\/4 of a litre in millilitres?\nAnswer: 24750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:33 PM and 10:24 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1215542, 4862163, 10939866, 19448651, 30388518?\nAnswer: 43759467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.057 + -0.257. Which is the third biggest value?  (a) r  (b) 1\/10  (c) -4  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c, 1 s, and 1 z when four letters picked without replacement from {z: 3, s: 6, c: 6, w: 1, r: 1}.\nAnswer: 27\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -948 - -948.0383. Let t = u - 0.069. Round t to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 9933\/(-55) + 2 + (-24)\/10. Let j = 358 + z. What is p in j*p**2 + 2*p**3 - 168*p**2 + 3*p**4 - 11*p**3 - 3*p = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46274287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -77\/3042 and -181\/60840.\nAnswer: 60840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/5, 1200, 4\/29, 2\/11?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 2*k**2 - 3*k - 3*k**2 - 2 - 1 - 5*k. Let c be a(-7). Let b(m) = 2*m - 5. Determine b(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 29 times -396\nAnswer: -11484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 308281 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 27 in 6\/7, -423\/11, -2\/3?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 703 minutes after 10:17 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -4*t**2 - 383*t - 6662. Determine r(-73).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2.6 in -3, 0, -3\/5, -5\/17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 65 divide 756685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26778 is divided by 124.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:58 PM and 1:57 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -57388282 divided by 526498\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*u**2 - 627210*u - 16931025.\nAnswer: -5*(u + 27)*(u + 125415)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0002738421 rounded to 6 decimal places?\nAnswer: 0.000274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**3 + 22*o**2 + 22*o - 9. Let z be a(-21). Let j be (-1)\/5 - 96\/z. Let c be (-1)\/(-6)*2*27 - j. Solve -m = -c*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 13, m: 3}. Give prob of sequence mh.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -69 + 154. Let a be -8*3\/(-30)*m. Calculate the greatest common factor of a and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.48630729 to three decimal places.\nAnswer: 0.486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -4*a**2 - 7*a. Let o be y(-2). Let x(n) = -n**3 - 2*n**2 + 3*n + 6. Let u be x(o). Suppose -q - 65 = -j, u = -4*j + q + q + 252. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11231489 rounded to the nearest one hundred thousand?\nAnswer: 11200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1301 - 1302. Let y = -1 + 5. Suppose y*a + 8 = -4. Sort a, -5, -4, v in descending order.\nAnswer: v, a, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11 + -2. What is the units digit of (-3)\/(-2) + t\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 + 1. Let q be 116\/(-14) - (-4)\/14. Let w = 25 + q. Solve 1 = 5*k - t*x - 24, -w = -k + 3*x for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (3*(3 + 3 + sqrt(1377) + sqrt(1377)*2 + 1))**2.\nAnswer: 3402*sqrt(17) + 111974","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = 8*p - 4*p - 336, 2*p - d - 168 = 0. Suppose 2*j = -3*l - 3*j + p, -5*l = -4*j - 140. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2925 - 2*m**3 - 10420 - m - m.\nAnswer: -2*m**3 - 2*m - 7495","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 20 and 43915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(-2) + 6\/(-4))\/(30\/(-360))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -9 in -2\/23, 1, -0.12, -0.012, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = -7*i + 5*i + 6, 5*i - w - 15 = 0. Solve -5*g + 4*h + 27 = 0, -2*g - 6 = -i*g + h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-9)\/6*1*1040\/780\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*n - 740*n = 1108*n + 475*n - 105984 for n.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vwcwvwwvtvpwtp. Give prob of picking 1 v and 1 t.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (20 - -6)*(1 - 2\/4). Let q = -2 - -6. What is the second derivative of 23*z + 18*z - 8*z**4 - j*z**q wrt z?\nAnswer: -252*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 12\/120 + (5 - (-364)\/(-40)). Which is the third smallest value?  (a) 2  (b) -2.3  (c) q  (d) 0  (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-1\/2)*v**(2\/17)*(((v*v*v**(-9)*v)\/v)\/v)\/v*v**(1\/7)*((v**(-1\/3))**42)**(-29) assuming v is positive.\nAnswer: v**(94429\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = 47 + 25. Let v(b) = 7*b - 15. Let p be v(7). Let d = n + p. Calculate the remainder when d is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -30.967 - 0.033. Let v = -245.0489 - -214.048. Let c = l - v. Round c to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-10)\/15)\/(4\/156). Let m = d - -35. What is the remainder when m is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the first derivative of 8*c**3 + c**2\/2 - 289. Let b(i) = 6*i**2. Give b(y(p)).\nAnswer: 3456*p**4 + 288*p**3 + 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 3*n = 0. Let h(a) = -a - 8. Let k be h(n). Let g be 3\/((-2)\/(k\/6)). Solve -2*f + 4 = g*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (126\/(-35))\/((-3)\/20) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.3  (b) -2\/133  (c) 3  (d) -4\/5  (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the second derivative of -29*n**8\/28 + n**7\/14 + 23*n**4\/3 + n**3\/6 - 5*n - 5. Find the third derivative of h(i) wrt i.\nAnswer: -6960*i**3 + 180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 64 - 65 - h**3 - 23*h**2 + 3*h - 4*h. Does 8 divide y(-23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -o**3*p + 14*o**2*q + 7*o*p - 754*p*q with respect to o.\nAnswer: -3*o**2*p + 28*o*q + 7*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -22.2?  (a) -11  (b) 5  (c) 0  (d) 324\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -34\/63 and -38\/39?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a minute in milliseconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:02 AM and 5:44 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 216*y**2 - 194*y**2 + 430*y**2 + 103*y**2 in the form g*y + q + s*y**2 and give s.\nAnswer: 555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1818910118 to the power of 1\/2, to the nearest integer?\nAnswer: 42649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 6, s: 1, n: 1, g: 1, a: 4}. What is prob of sequence dd?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(19) - sqrt(304)) + -3 + sqrt(228)\/(sqrt(24)\/sqrt(2)))**2 - (-1 + ((sqrt(152) - (sqrt(152) - 1*sqrt(152)))\/sqrt(8))**2).\nAnswer: 12*sqrt(19) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 3*u - 20. Let x be t(8). Let r = x + 2. What is the least common multiple of 1 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 83.91514 centimeters in millimeters?\nAnswer: 839.1514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/52 or 15709?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 6 * 1.5\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/(-3)*2925\/42. Let s = f + -93. Suppose -12*x + 7 = -19*x. Which is the third biggest value?  (a) -0.1  (b) x  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - (-11)\/(88\/16)) + -12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7240\/1086*3\/(-65).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1045 divided by -8?\nAnswer: 1045\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 587, 2355, 5303, 9431, 14739, 21227?\nAnswer: 28895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**2 - 44*r - 162. Let t(v) = 39*v - 313. Let f be t(7). Let w be k(f). Let s(l) = -1 + 1 - 4*l. Calculate s(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -2*q. Let z(j) = j. What is -2*v(c) + 6*z(c)?\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(792) + 2*sqrt(792)) - sqrt(792))\/(sqrt(77)\/(-4*sqrt(7)*-3)).\nAnswer: -288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -9138 or -9133?\nAnswer: -9133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/7, 3\/37, 5773897 in increasing order.\nAnswer: -2\/7, 3\/37, 5773897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1010000100101 (base 2) to base 14.\nAnswer: 1c45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 5*c - 4. Let t be o(-2). Calculate the common denominator of 11\/(-2)*1\/2 and (-4)\/t + 195\/175.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/1524 and 17\/27051?\nAnswer: 108204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -192.1 + 184. Let y = m + 8. Which is bigger: y or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 1968915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 5, -2\/13, -1.1, 3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 + 8 = 4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (48\/10*(-18)\/72)\/((-32)\/(-80))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 6 = -5*f. Suppose 0 = -2*z + 2*i, -5*z - 4 = -9*z + 3*i. Let r be -1 - ((-1)\/(-2) - 5\/10). Sort z, f, 0, r.\nAnswer: r, 0, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 5320 + 772 = -8*g. Calculate the remainder when g is divided by 110.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.3 - -0.2. Let c be 13 + 3762\/(-189) + (-28 - -35). What is the second biggest value in 2\/7, c, b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) -122\/7  (b) -2  (c) -9  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 2038264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -997*q = -993*q - 24 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -710*q - 17495 - 117 = 5818 for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -12f - 0?\nAnswer: -12f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 210 and 1750.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2551*b + 2746*b + 7800 for b.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9*s**4 - 1762*s**3 - s + 1761*s**3 - s + (7 - 2*s**3 - 7)*(-1 + 1 + s) + (-s**3 + 2*s**3 + 0*s**3)*(3*s - 2*s + 0*s).\nAnswer: -10*s**4 - s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-12))**(2\/73)*m**(-32)*m**(-32))**(-2\/109) assuming m is positive.\nAnswer: m**(9392\/7957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = -6 + 42. Calculate the greatest common factor of u and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5844420 and 2597520.\nAnswer: 23377680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 4*j**3 - 2*j**2 + 3*j - 1. Let k be y(1). Sort 251, 0, k in descending order.\nAnswer: 251, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + 10 + -1 + (-6 - -12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 27 + -30. Let z be (1\/15)\/(p\/(-117)). Let w = z + -86\/35. Put w, 0, 0.03 in ascending order.\nAnswer: 0, 0.03, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0039069425 to four dps.\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7825 + -7823. Solve 9 = 3*m, 8*p + v*m + 3 = 5*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 612420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -7 - (-3755)\/520 - (-6)\/39. What is the second smallest value in -0.6, 12, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1685620, -6742472, -15170560, -26969884, -42140444?\nAnswer: -60682240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -6*x. Let t(v) = 3*v - 20. Let h(b) = 9. Let l(k) = 2*h(k) + t(k). Calculate l(w(y)).\nAnswer: -18*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2.9247 + -0.0753. Let s = 1.25 - -0.75. What is the closest to 2 in 1\/2, v, s, 2\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 490 minutes before 7:51 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -52 + 54.3. Let a = 2.76 - -0.54. Let r = a - k. What is the third biggest value in r, -4, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = 3*c + 5*n - 31, -4 = -4*c - n. Let m(b) = -b**2 - b + 33. Let y be m(c). Let k be 6\/y + 4\/(-22). Solve r + 6*z - z + 14 = 0, k = z + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 q when two letters picked without replacement from qdw?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -53 - -65. Find q such that -w*q**2 + 7*q**2 - q + 6*q = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12888710.\nAnswer: 2, 5, 1288871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*n**2 - 6*n + 6*n + (-4*n + 2*n + 3*n)*(-n + n + 2*n) + 663*n - 1379*n**2 + 2762*n**2 - 1385*n**2 - 1.\nAnswer: -4*n**2 + 663*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**2 + 3. Suppose -5*s + 4*s = l - 4, 0 = -5*l + 10. Let x = 6 + -4. Let v(k) = -7 + 4*k**x - 3*k**2 - 3*k**s. Determine -7*f(w) - 3*v(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/5 < 7494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -45  (b) 0.3  (c) 1.58  (d) -0.01  (e) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 <= -2\/12651?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 7817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 25429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 24 and 288279.\nAnswer: 2306232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the third derivative of p**5\/20 - p**4\/24 - p**3 + 4*p**2. Is n(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5624591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72*d - 126 = 65*d. What is the least common multiple of d and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 78 = 7*r - 13. Let m(n) = -n + 13. Determine m(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the first derivative of -s**3\/3 + s**2\/2 + 21*s + 1. Let j be (0*3\/(-3))\/1. What is the tens digit of b(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that -3*p**4 - 1443*p**3 + 26766*p**2 - 90420*p - 299400 = 0.\nAnswer: -499, -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 + 3. Suppose 2*b - 2*m - 2 + 4 = 0, -1 = -2*b + m. Factor 4 - c*r - 2 + 2*r + 2*r**b.\nAnswer: 2*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -9*b - 40 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 51613 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 288 and 1980?\nAnswer: 15840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-2\/11)*m*(m\/(m\/m**(-1\/5)))\/m*m**(-3)\/((m\/(m**6*m))\/m))**(3\/11))**(-1\/9) assuming m is positive.\nAnswer: m**(-199\/1815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the third derivative of 0 + 1\/48*i**4 + 0*i + 1\/8*i**3 - 1\/48*i**5 + 12*i**2. Factor k(g).\nAnswer: -(g - 1)*(5*g + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6343 - 0.36804184\nAnswer: -6343.36804184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 7 = 25. Let t(o) = o + 4*o**2 - 4 + 5 - o**2 - o**3. Let z be t(3). Calculate the highest common divisor of u and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/(-3)*1872\/(-130). Determine s so that p + 4*s - 4\/5*s**2 = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-10))\/(32\/100)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.357 - -19.743. Let u = -9.1 + p. Which is the third smallest value?  (a) -1\/10  (b) u  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7653391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 18ea4a (base 15) in base 6?\nAnswer: 42004041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 83, 124, 211, 350, 547, 808, 1139, 1546?\n\"Answer: f**3 + 17*f**2 - 17*f + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26358 divided by -6.\nAnswer: -4393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 35*n**2 - 9614*n + 38422. What is x(4)?\nAnswer: 526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/10 of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31*u**2 - 6 - 16 + 22.\nAnswer: -31*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2\/(-42))\/(6\/(-72)). Determine j, given that -2\/7*j**2 - 2\/7 + d*j = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12153593041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 4328.221 days?\nAnswer: 373958294.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n**2\/5 - 256*n\/5 - 8192\/5 = 0.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o**3 + 9*o**2 - 13*o + 1. Suppose -4*v + 7 = -21. What is the units digit of s(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = 7*v - 64. Let d(f) = -8*f - v + 16. Let w(b) = -2*b**2. Determine d(w(c)).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-7)*49\/42)\/((-302)\/1988217*57)\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**2 - d + 6. Suppose -14 = -4*k + 2*o, -k - 35 = -5*k - 5*o. Suppose q - k*q + 5*a = 4, -2*a = 0. Let r = q - -1. What is t(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55*a - 38 + 258 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/3 - 10\/(2\/2 + -4). Sort b, -392, -8.\nAnswer: -392, -8, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3166802 is divided by 121.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (15\/30)\/(1\/(-2))*(-428)\/2 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -36 at least as big as 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6161 - 6149. Let d(i) = -2*i + 2. Let k be d(2). Let u = 6 + k. Solve 0 = -4*s - 2*y + 10, 32 = -u*y + t for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 19 + -13. Suppose 275 = 5*b + o*x - 3*x, -193 = -4*b + 3*x. Let d = b - 10. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (31 - 1) + 48 + -44 + -73.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -15*h**2 + 3*h - h - 1 + 19*h**2. Let o be i(1). Suppose -3*t = -o*a - 65, -3*t - a + 71 = -6. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2500 + 41*u + 7507 - 2504 - 2503.\nAnswer: 41*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*q + 6424 = 6547 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l + 1. Let o = 1 - -5. Let z be t(o). Let a be ((-90)\/8)\/z + -2. What is the smallest value in -1\/2, a, -0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -12.58 - -13.58. Which is the closest to f?  (a) -3\/2  (b) 16  (c) -4  (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -588*k - 63. Let u(f) = -47*f - 5. Let b(r) = 5*m(r) - 63*u(r). Let o(p) = -3*p. Let g(i) = 4*b(i) + 27*o(i). Let w(x) = -x**2. Determine w(g(s)).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*p**5 + p**5 - 2*p**5 + (-p**4 + 0*p**4 + 3*p**4)*(2*p + p - p) + 4*p**5 + 2*p**5 - 4*p**5 + 25*p**5 + 112*p**5 - 4*p**5.\nAnswer: 140*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 605*n**3 - 503912750*n**2 - 2198900640*n - 2398803840.\nAnswer: 5*(n - 832918)*(11*n + 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 2*l - 2115 = 7*l, -2*w + 3*l + 847 = 0. Let j be 260\/4736*w - 0. Let t = j - 1\/1776. What is the common denominator of t and 41\/11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -311 - -212. Let n = u - -100.02. Let s = n + -1. Round s to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16\/12 + (-4)\/6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the first derivative of 180*v**4 + v**3\/3 + v**2 - 2*v + 4. Let x(a) = -a**2 + 5. Let m be x(2). Is c(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 240*r - 473*r + 233*r + r**2 - 4*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1 - 0.94. Let f = c + 0.94. Let i = f - 2. What is the nearest to -1 in i, 4, 2\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1050)\/sqrt(3) - sqrt(14))\/sqrt(2) + (sqrt(63)*-6)**2*-5 + -3.\nAnswer: -11343 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the second derivative of -8497*o**7\/42 - 2795*o**3\/3 - 7856*o. What is the second derivative of d(g) wrt g?\nAnswer: -169940*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3\/10675 or 0.409?\nAnswer: 0.409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d. Let n(x) = 9148932*x. What is n(h(s))?\nAnswer: 9148932*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -75 + 1 + r - 35 - 7.\nAnswer: r - 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 13.2, 3\/8, 3, 2, 0, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1024, -2061, -3114, -4183, -5268, -6369?\nAnswer: -7486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 91541370.05 to the nearest one million.\nAnswer: 92000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -204 = -86*i + 154*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 103 + 151 - 14 = 16*d for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -44265 minus 0.9?\nAnswer: -44265.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.04968 - -0.05. Let q = 0 - x. What is q rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -801 + 801.2. Let n = -0.5 - -0.6. What is the nearest to n in -2, -0.7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2006093799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 4*n - 10 = 0, 4*i + 2*n - 4 = -0*n. Let u = -4095\/8 - -94201\/184. What is the nearest to i in -0.2, -0.1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 212741 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 49, 82, 121, 166, 217?\n\"Answer: 3*w**2 + 24*w + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 40\/3*360\/(-75). Let b be (-36)\/(-84) + 493\/(-7). Let u = m - b. Solve -u*v + 4*v - 22 = 4*j, 3*j = 4*v for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-18) - 52\/(-252).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03514 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -4*h**2 + 4. Let t(v) = -12*v**2 + 11. Let r = -47 - -58. Calculate r*x(m) - 4*t(m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/125 of a second in milliseconds?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 10, l: 7, y: 1}. What is prob of picking 3 l and 1 e?\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -24.949 rounded to the nearest integer?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, -2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3  (b) -4\/11  (c) -36  (d) 11  (e) 1  (f) -6  (g) 10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7705?\nAnswer: 5, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3403 and 3.\nAnswer: 10209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3623*-5022.\nAnswer: 18194706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 607 minutes before 1:14 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -14*z. Let o(p) = 5334*p. Determine o(t(u)).\nAnswer: -74676*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 162*o - 166*o + 762421 = 3*n, 5*n + 2*o = 1270669. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the second derivative of l**5\/15 + 2*l**3\/3 - 3*l**2\/2 + 4*l. Let u(p) be the first derivative of k(p). What is the derivative of u(x) wrt x?\nAnswer: 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/3 > 1173039?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add together -90 and -0.1715.\nAnswer: -90.1715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 5, 1, 555 in decreasing order.\nAnswer: 555, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2 + 1)\/(-3) - 0. Is 0 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 316378 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 89624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ylolozioolool. Give prob of picking 1 i and 2 o.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 266 a factor of 1237918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the third derivative of -x**7\/720 + x**6\/720 - x**5\/5 - x**2. Let f(z) be the third derivative of p(z). Determine f(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 313556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -2 + 6\/(6 + -3). Suppose 3*s - 3*l - 57 = d, 3*s + 33 - 86 = 5*l. Suppose -p + 4*r + 111 = 4*p, -p + s = -2*r. List the prime factors of p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 173691283 to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -36, 4, 5, -82 in increasing order.\nAnswer: -82, -36, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -959 - -2346. Suppose -c = -6*r + 11. Suppose 4*x - 1 = 3, 5*q - 2*x = r. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -37.88 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 176072191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 90654.14, -1\/4, 2\/13?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.72 + -0.08934941549.\nAnswer: 0.63065058451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 342349348 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -645939, -2583770, -5813489, -10335096, -16148591, -23253974, -31651245?\nAnswer: -41340404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -183, -247, -301, -339, -355, -343?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3726 - 1147. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(140)*1*2 + sqrt(140) + sqrt(140))\/(sqrt(175) - (3*sqrt(175) + sqrt(175))))\/(6*3*sqrt(250)*2).\nAnswer: -sqrt(2)\/675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5359 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: Calculate the highest common divisor of 1205022 and 119028.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -3*i + 26. Let l = i - 6. Suppose 5*g - 4*m - 50 + l = 0, 1 = -m. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - y + 220 = 0, 0 = 6*r - 2*r + 2*y - 176. What is the highest common factor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 65241 is divided by 6523?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (861\/1394)\/((-357)\/(-22253))\nAnswer: 77\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 2  (b) 1  (c) -1926  (d) 2\/7  (e) 0.3  (f) 310\/7  (g) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1884130731?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (93\/(-9) - -2)\/(-27 + 22). Put 3699, b, -2 in increasing order.\nAnswer: -2, b, 3699","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 80 and 60.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r**3 - 8*r**2 - 16*r - 44. Let q be b(-7). Solve q*n - 17*n - 10 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**3 + g**2 - g - 1. Let k(w) = 170*w**3 + 2*w**2 + 49*w - 1. Let u(b) = k(b) - q(b). Find the third derivative of u(d) wrt d.\nAnswer: 1014","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/10 and 2\/14 - 21\/30.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6624\/5 in 3\/4, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -846?  (a) 5  (b) 3  (c) 38  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 3*g - 3. Let l be u(2). Let w(t) = t - 6. Let r be w(6). Suppose p + r*p = 1. Solve 0 = -4*a + l*a - p for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 91 - (-70)\/50*-5. Calculate the greatest common factor of q and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-1)\/2)\/((-3)\/2). Let c = 0 - 1. What is the third biggest value in c, -0.5, v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1636979 is divided by 818391?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 17243 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ppxpxxxxpxxpxxxxxpx. Give prob of picking 3 x and 1 p.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.03 + 0.23. Let o = 0.3 + p. Let f be 1\/6 - (-435)\/(-450). What is the third smallest value in o, 0.1, f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vij when three letters picked without replacement from kssisvssjksssssjskkf?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1124 and 413351?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -5 + 2 - (-3 + 7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 3*d + 144 = 0. Calculate the greatest common divisor of d and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 542464 a multiple of 416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 150*0.103.\nAnswer: 15.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - (-2 - 1 - -8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2133212102 (base 5) to base 2\nAnswer: -10001011111011100111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is z in 3*z**5 - 34272*z**4 + 1230873*z**3 - 11034864*z**2 - 1230876*z + 11069136 = 0?\nAnswer: -1, 1, 18, 11388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -274262, -1097425, -2469356, -4390049, -6859498, -9877697, -13444640?\n\"Answer: b**3 - 274390*b**2 + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.50092777*8.\nAnswer: -4.00742216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sdcdwcccscdcoo. What is prob of picking 1 w and 1 d?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 23596 = -2*n, -5*n + 3*v + 47197 = -n. What is n rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (6\/(-18))\/(48\/18)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 11.10466+-1.5517776\nAnswer: 9.5528824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9 - -4) + (-20 - -7))*((-70)\/(-15))\/(-2).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -145 + 73. Are -72 and d nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(((sqrt(9) - sqrt(144))\/sqrt(3) - sqrt(3)) + (sqrt(3) - sqrt(12))*-4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 11 = 4*w, -83*z + 13 = -78*z - 3*w. Let g = -28 + 30. Let 0 + 1\/2*v**3 + 0*v - 1\/3*v**g - 1\/6*v**z + 0*v**4 = 0. What is v?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 2*q**3 + 2*q**2 - 2*q - 1. Determine g(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -314 - -317. Solve 4*d = -u + 7, -4*u - 12 + 1 = m*d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**3 - 9*y**2 - 10*y + 2. Let z be i(10). Determine w so that -14*w**4 + 16*w**4 - 3*w + 7*w**4 + 5*w**z + 3*w + 2*w - 16*w**3 = 0.\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f + 4*n + 17 = 0, -787*n = 4*f - 789*n + 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 95212*u**3 - 28114*u**2?\nAnswer: 571272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 139 divided by -134241\nAnswer: -139\/134241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1881 and 36.\nAnswer: -67716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 2, -0.5, -59, 121?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 4, j: 8, k: 1}. Give prob of sequence kjj.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1217415 - -1?\nAnswer: 1217416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 30917, 30916, 30923, 30944, 30985, 31052, 31151, 31288?\n\"Answer: t**3 - 2*t**2 - 2*t + 30920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -25081 + 57939. Is 34 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 23  (b) 4.3  (c) 59\/57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w - 11 = -20 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 116*k + 45. What is the tens digit of h(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20089, 79400, 178253, 316654, 494609, 712124, 969205?\nAnswer: 1265858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1554 is divided by 864.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5362?\nAnswer: 2, 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -99*t + 7*t = 276 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 3*t - 9. What is the smallest common multiple of f(7) and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2476.9008 months to centuries.\nAnswer: 2.064084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n - 5*n = 0. Suppose 6 + 8*u + 11*u**2 + n*u**2 - 3*u**2 - 6*u**2 = 0. Calculate u.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p**3 + 7*p**2 - 11*p - 27. List the prime factors of d(-5).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 29.635602*6\nAnswer: 177.813612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 42589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-one eighths of a century?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -44*s + 1562. Calculate x(2).\nAnswer: 1474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 21*b - 6*b - 4369 - 11501. Calculate the lowest common multiple of b and 9.\nAnswer: 9522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g - 6. Give j(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -825*t + 4128*t + 44*t + 3882*t in the form y + a*t and give a.\nAnswer: 7229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the second derivative of g**5\/20 - 13*g**4\/12 - g**3\/6 + 19*g**2\/2 + g. What is the remainder when 10 is divided by l(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 9456191.9 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k + 198*i + 61 = 186*i, i - 3*i + 14 = -4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 62194 is divided by 239?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:28 AM and 4:06 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/(-2)*(-1 - 1 - -2140) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -16416, -65671, -147766, -262701, -410476?\n\"Answer: -16420*s**2 + 5*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -10*m**3 - 14*m**2 - 62*m + 27. Is c(-22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (sqrt(5) - (sqrt(80) + sqrt(5)))*6 + sqrt(10)\/(-4*sqrt(8)))**2 + -1.\nAnswer: 579*sqrt(5)\/4 + 186757\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.642 - 0.572. What is the closest to v in -3, 1, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16\/(-24)*9\/(-6)*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 35615501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -90*x**6 - 2*x**4 - 10*x**2 wrt x.\nAnswer: -10800*x**3 - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eepj when four letters picked without replacement from {r: 1, k: 4, j: 1, p: 1, e: 6}?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1, 7, -0.1, -0.0192244?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1*4\/8*0 - -5. Find c such that 5*c**2 + 3*c**3 - c**a - 2*c - 128*c**4 + 63*c**4 + 64*c**4 - 4*c**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4193, 4355, 4479, 4547, 4541, 4443, 4235, 3899?\nAnswer: 3417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -396 = 2*w - 20*w. Calculate the lowest common multiple of w and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.1, 24, 2, -14, 1, 147?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -24941*n + 688. Is f(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 2*w = -46, -5*w - 6 = q - 23. Let f be 4\/2 + q\/(-2). What is the remainder when 83 is divided by (-81)\/(-4) - f\/12?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**2 - 10*l + 17. Suppose 5 = -3*d + 41. Calculate the remainder when h(d) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 694 = -2*k, -2*m + 451 = -2*k + 3*k. What is the remainder when m is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-84*d + 2*d + 9*d)*(-7*d + 19*d + 85*d).\nAnswer: -7081*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 2*u + 3. Let c be (-656708)\/(-286) + (265\/55 - 5). Does 19 divide u\/(-10) - (1 - c\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1306849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -3*p. Let a(b) = 19*b**2 + 15. Calculate a(u(i)).\nAnswer: 171*i**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 2*o. Let w(n) be the third derivative of -71*n**5\/30 - n**3\/3 - 290*n**2. Calculate f(w(l)).\nAnswer: -284*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 148 and 19166.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 14) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11 + -7. Let c = -28 - -51. Let t = c - 12. What is the least common multiple of t and y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.052 * -34\nAnswer: 1.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 - -41?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -15206 - 5?\nAnswer: -15212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**2 - 7*i + 9. Let y be x(7). Suppose 0 = -y*b + 5*b + 8. Calculate the remainder when 2 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 110\/13 less than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence go when two letters picked without replacement from {p: 1, o: 2, g: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 7*-1378\nAnswer: -9646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 12164876*m**3 - 665*m**4 + 2621 - 12164876*m**3 - 2*m + m**2 + 3143*m**4 wrt m?\nAnswer: 9912*m**3 + 2*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s**2 + 6*s + 13. Let o be q(-12). Suppose 20 = 11*h - 167. Calculate the greatest common factor of h and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -4*d - 67692, -3*y + 6*d + 50753 = 11*d. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*n - 130 = 4*n + 5*d, -5 = d. Solve 3*c + 4 - n = -4*o, 4*c - 32 = -3*o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 + -2. Let i be (d + 2)*(4 - 3). Solve i = c - 1 - 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 123 (base 12) to base 13\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*c**5 + 4*c**5 + 0*c**5 + (0*c**2 - c**3 + 0*c**2)*(-c**2 + 3*c - 3*c) + 2*c**3 - 2*c**3 + c**5 + (3*c**3 - 3*c**3 - c**5)*(-4 + 3 + 0).\nAnswer: 4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*m - 10*m - 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, o: 11, r: 2, y: 4, a: 1}. What is prob of sequence aryy?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -149\/132 and (-352)\/528 + (-481)\/(-726).\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 23742, 47466, 71190, 94914?\nAnswer: 118638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-48)\/15)\/((-14)\/(-35))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 20\/7?  (a) -0.1  (b) -4  (c) 0.2  (d) 13  (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 7149291 plus 10961186?\nAnswer: 18110477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -201*p - 3876. Give m(-20).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -15.2 or 91\/3?\nAnswer: 91\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -231 + 235. Suppose -l*f + 4*c + 127204 = -8*f, 3*f + 2*c = -95402. What is f rounded to the nearest one thousand?\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-186)\/124)\/((-3)\/(-6))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**3 - 12*y**2 + 9*y + 26. What is the smallest common multiple of j(11) and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1\/5*y**2 - 12\/5*y - 189\/5 = 0.\nAnswer: -9, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -10*t - 12 - t**2 + 2*t - 5*t - t. Let s be n(-14). Let j(b) = -3*b + 2. Is 10 a factor of j(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1113208471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -115 - -70. Let a = -45.115 - d. Let g = 0.114953 + a. What is g rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 4}. What is prob of sequence iiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 8 = 2*y, -11 = -3*z + 2*y + 5. Let p = -4 - -8. Suppose p*o = -4*j + 12, j = o - 6*o + 23. Solve -v + o = z for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-473)\/(-172))\/((2\/12)\/(2\/(-3)))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0007627 rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-18 - (0 + -22)) + -7 + 1 + 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -30*l**2. Let p(q) = 1824*q**2 - 2 - 5475*q**2 + 1826*q**2 + 1836*q**2. What is p(r(y))?\nAnswer: 9900*y**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 38\/(-80) + 12\/32. What is the third biggest value in -5, u, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-47537)\/7*(-6 + 7). Let j = -3301 - o. What is j rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1288 a factor of 18073949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:28 AM and 8:14 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -49171, -10, -5, 2, -75 in decreasing order.\nAnswer: 2, -3, -5, -10, -75, -49171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -15 + 11 + 18 + 38 + -13 + -19\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**2 + 2*o + 14. What is z(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 6 = -0*q. Suppose -4*z - 5*r + 48 = 0, 5*z - r - 77 = -q*r. What are the prime factors of z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (7 + 94\/(-6))*(-1269)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4351 - 34351. Round k to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b + 2*b + 3. Let j be 2 + (1 - 2 - b). Suppose 4*o - 12 = -4*s, -4*o - j = 3*s - 16. Solve -c + s*c = -3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -3*h**4\/5 + 147*h**3 + 29331*h**2\/5 + 283017*h\/5 + 155112 = 0.\nAnswer: -23, -8, -5, 281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*x + 137*x = 7591554. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3161379um in centimeters?\nAnswer: 0.00003161379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*u**3\/5 - 4408*u**2\/5 - 4404*u\/5.\nAnswer: -4*u*(u + 1)*(u + 1101)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 182*v - 73*v = 1090 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 263*q**3 + 3*q**2 + 4*q - 7. Let i(m) = 562*m**3 + 6*m**2 + 9*m - 15. Determine -4*i(r) + 9*j(r).\nAnswer: 119*r**3 + 3*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1566 - 304 = -85*m + 85. Suppose 0 = 4*k - 4*y - 2 - 6, -2*y - 1 = -3*k. Let h(x) = -x. Let w be h(k). Solve 5*o + m - w = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1291937 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the third derivative of 0 - 4*f**2 + 1\/30*f**5 + 1\/2*f**3 + 0*f - 1\/24*f**4. Let p(r) = r**2 - r + 2. Let i(y) = 2*g(y) - 3*p(y). Factor i(b).\nAnswer: b*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-90)\/(-275))\/((-18)\/(-1980)*30)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 5*l - 29415 = 0, -l + 217 - 214 = 0. Is 21 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.013 + -4.157. Let k = 120.83 - g. Which is bigger: k or -1\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64 = 11*m - 75 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -25, -52, -91, -148, -229, -340, -487?\n\"Answer: -z**3 - 20*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 93*t + 99 - 190*t - 52 + 96*t.\nAnswer: -t + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -40 - 2?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-57)\/(-7) + 104\/(-728). Solve 6 = q*v - 2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 4*w**3 + 378*w**2 + 183*w - 464. What is h(-94)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 375*i**3 + 5*i**2 - 3*i - 1 - 187*i**3 - 195*i**3. Let z(a) = -8*a**3 + 6*a**2 - 4*a - 1. Determine 6*d(r) - 5*z(r).\nAnswer: -2*r**3 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 292532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**2 - 20*i - 44. Let y be p(22). Solve l - 5*s + 7 + 18 = y, 0 = 2*l - s + 14 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 164081965?\nAnswer: 5, 32816393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 30*l**3 - 696*l**2 + 696*l**2 + (1 + 0 + 0)*(-4 + 4 + 3*l**3) - 8*l + 5*l - 6*l**3 + 5*l.\nAnswer: 27*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:59 PM and 4:32 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence og when two letters picked without replacement from hgmozohhzhozhh?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3052, 25270, 85670, 203344, 397384, 686882, 1090930, 1628620?\nAnswer: 2319044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o + o + 10 = 0. Suppose -f = o*f. Suppose -2*z + 21 + 21 = f. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:01 PM and 3:18 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 4024*x + 20139. Calculate o(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1402 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**2 - 39. What is q(0)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/(-4)*(8\/(-90))\/(-1))\/(25\/(-875)).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (63\/9)\/((-2926)\/(-23826)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 27*t. Let r(a) = 3*a. Let i(d) = -h(d) + 4*r(d). Calculate i(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -o**2 + 8*o - 1. Let k be h(6). Let y = -8 + k. Suppose 30 = -y*j - 2*j. Let z(r) = -2*r - 6. Give z(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/4  (b) -0.3  (c) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**2 + 2957405*w + 2957406.\nAnswer: -(w - 2957406)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -6 (base 13) to base 10\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -594.859875 + 595. Let n = -0.14 + t. Round n to five dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u**3 + 6*u**2 - 3*u - 7. Let a be h(5). Suppose -5*s + 5*g - 6 - 9 = 0, a*g - 3 = 0. Let k = -0.2 - -0.6. What is the nearest to s in -0.1, 4, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -4, -32, -82, -160, -272?\n\"Answer: -s**3 - 5*s**2 - 6*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.011 - -0.111. Which is the third biggest value?  (a) 0  (b) i  (c) 0.3  (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*l**2 + l**4 + 0*l**2 + ((1 + 1 - 3)*(-3 + 3 + l) + 4*l - 7*l - 4*l)*(-2*l + 0*l - l)*(2 - 2*l**2 - 2).\nAnswer: -47*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y - 3*y + 76. Let i = 16 + y. What is the remainder when i is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30)\/(-100)*5*(-52)\/(-1521).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 11\/2 of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.16 and 13.\nAnswer: 2.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -169 + 254. Let o = 85.1 - b. Let c = 8 - 5. What is the nearest to 0.1 in -3, o, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32\/3 - 16*j - 2\/3*j**2 + 4*j**3 - 2\/3*j**4 = 0 for j.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3 + 6. Let o = v - 4. Solve 4*h - o*t + 4*t = 7, 4*h - 1 = -t for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 735359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -2864, -5803, -8742?\n\"Answer: -2939*p + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 110011111 (base 2) in base 15?\nAnswer: 1ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4506009.\nAnswer: 3, 61, 24623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -68, -224, -484, -848, -1316, -1888, -2564?\nAnswer: -3344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -1154067\/101, -0.4, -5 in decreasing order.\nAnswer: -0.4, -5, -1154067\/101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 9*p - 407. Let w(l) = l. What is w(b(q))?\nAnswer: 9*q - 407","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -305*r. Let m(n) = 28*n**2. Calculate u(m(k)).\nAnswer: -8540*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-5)*m*m*m*m**(-2\/5)*m**(-1)\/m**(-2\/13) assuming m is positive.\nAnswer: m**(-211\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 8*b**3 - 10*b**2 - 241*b + 28. What is g(-5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 791*o + 10*o**2 + 0 - 791*o + 0.\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 8071 or 8025?\nAnswer: 8071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s**3 + 21*s**2 + 2*s + 5. Let d(k) = 6*k**2 + 4*k + 6. What is -2*d(l) + 3*h(l)?\nAnswer: -3*l**3 + 51*l**2 - 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ikij when four letters picked without replacement from {j: 7, s: 2, i: 4, o: 2, k: 1, e: 4}.\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 64*d - 69*d + 895. Suppose -6*n + 125 = 5. Calculate the remainder when d is divided by n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-12)\/(q*q**(-6\/5)) assuming q is positive.\nAnswer: q**(-59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 85 = -146*k - 293 - 644 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3125 - 10675 = -15*o. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32 + (9 - 4) + 14 + -25.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1072 - 110 = -5*v - r, -4*r + 225 = v. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -86 + 271 + 3*q - 79 + q. Determine u(-28).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 10\/39 + 788\/273. Let j = -18\/7 + h. Let o = 799.8 + -800. Sort j, o, -0.5 in decreasing order.\nAnswer: j, o, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37\/2 of a gram in milligrams?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1353*s - 12 = -1347*s - 6*v, -3*s + 1 = 2*v + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-40)\/(-5)*-1 + -1. Is 138\/(-8)*6*58\/a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*y**4 - 2044*y**3 + 10304*y**2 - 8256*y.\nAnswer: -4*y*(y - 4)*(y - 1)*(y + 516)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r = 335*h - 338*h - 70, -h + 372*r + 724 = 0 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 50 and 380?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m**5\/3 - 1108*m**4 + 3332*m**3\/3 + 1108*m**2 - 3328*m\/3 = 0. What is m?\nAnswer: -832, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -2*k**2. Let n(s) be the first derivative of 19*s**3\/3 - 14. What is z(n(f))?\nAnswer: -722*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(20\/100 - 4\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29 (base 11) in base 5?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 202202112200011 (base 3) to base 9\nAnswer: 22675604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 14de37 - 3d?\nAnswer: 14ddfa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3522, -1, -2, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 0.8316549 centuries?\nAnswer: 83.16549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/26  (b) 5  (c) -3  (d) -0.3  (e) 435  (f) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the second derivative of s**3\/6 - 2*s - 296. Let w(j) = 881*j. Determine w(n(r)).\nAnswer: 881*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15*f**5 + 106 - 106)*(567 - 1992 - 1260 - 1753 + 176) - 3*f**5 + 3*f**5 + 2*f**5.\nAnswer: -63928*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 - -7. Suppose 75*c = 72*c + 42. What is the remainder when c is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 + -1. Let g = 253 - 247. What is the remainder when g is divided by ((-2)\/3)\/(r\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*o**2*q**2 - 10*o**2*q + 405*o**2 + 5*q wrt q?\nAnswer: 4*o**2*q - 10*o**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -12 in -0.4, -3, 43?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1437256 is divided by 1109?\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 230 is divided by 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100 + -10111100010111?\nAnswer: -10111100010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 + 1 - 1)*(-o + o - 2*o) - o + 3*o + o + (-3*o + 0*o + 4*o)*(0 + 0 - 2).\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 17 + -19. Let o = n + 14. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 3 - 3*j + j + (0 + 3 - 4)*(5*j + j - j) + 195 - 195 + 151*j.\nAnswer: 144*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-16)\/10)\/((-4400)\/(-16500)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 209957\/1138 + -369\/2. Let p = 587\/5121 + x. Sort -0.1, 1, -4.5, p in increasing order.\nAnswer: -4.5, -0.1, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1693*s**4 + 2*s**3 + 2*s**2 + 8*s + 3182062.\nAnswer: 6772*s**3 + 6*s**2 + 4*s + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0*((-435)\/30 + 14). Let b(c) be the first derivative of 0*c**2 + o*c + 1 + 0*c**4 - 11\/5*c**5 + 17\/3*c**3. What is the third derivative of b(m) wrt m?\nAnswer: -264*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**2 - 16*p - 24. Suppose -a = -3*a + 10. What is the remainder when o(-12) is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v - 2. Let s(i) = 2*i - 11. Calculate -5*h(r) + s(r).\nAnswer: 7*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, -15, 492, 1.1 in descending order.\nAnswer: 492, 1.1, -0.5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (65\/(-195))\/(1\/21)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1504467.69899 + -1504455. Let r = o + -12.7. Round r to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the second derivative of 3*o**6\/10 + 2*o**2 - 9*o. Differentiate k(m) wrt m.\nAnswer: 36*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -35 + (-60 + 14 - -56).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 5 + 0)*(p + 2*p - p) + 3*p - 2*p - 2*p + (1 + 0 + 1)*(0*p - 2*p + 3*p) + 2*p + 3*p - 2*p + 2*p - 3*p + 0*p + 0*p + 0*p - 2*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = 37 - 4. What is the least common multiple of m and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*k**5 + 0*k**5 + 2 - 3*k**5 + (-274*k**3 + 294*k**2 - 575*k**2 + 287*k**2)*(-7*k - 3*k**2 + 7*k).\nAnswer: 823*k**5 - 18*k**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 - 9 + 13)*(16*w + 20*w - 38*w - 29) to m + v*w and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58*m - 309654 - 1700800 = 0. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:48 PM and 1:29 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.9 * 3528.7\nAnswer: -3175.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**2. Let p(g) = -941*g. Calculate c(p(k)).\nAnswer: -885481*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 80, 146, 212?\n\"Answer: 66*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3489330143?\nAnswer: 13, 4139, 64849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/11  (b) -86  (c) 3  (d) 5  (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 44.018 - 398.688. Let b = 353 + t. Let g = b - -0.57. Put g, 4\/3, -1 in increasing order.\nAnswer: g, -1, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cgggggppc. What is prob of sequence cc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -166, -342, -536, -754, -1002, -1286, -1612?\nAnswer: -1986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 101 - 2 = -3*v. Suppose 0 = -25*q - 924 + 149. Let z = q - v. Sort z, -3, 1 in increasing order.\nAnswer: -3, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*d - 1 + 0 + 43*d + 36*d.\nAnswer: 115*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 9915\/45 + (-2)\/(-3). Let t be (-34)\/4*(-13 - -11). Calculate the greatest common factor of t and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*h + 5*y - 9, 10*h = 9*h + 2*y - 14 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*z**2 - 38*z**2 + 16*z**2 + 6599*z**3.\nAnswer: 6599*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**2 + 96566*t + 4830800.\nAnswer: -(t - 96616)*(t + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -128*u**2. Let n(a) = 7*a - 7*a + 156*a**2 + 159*a**2 - 314*a**2. What is n(h(v))?\nAnswer: 16384*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -5 + 16*x + 47 - x**2 + 8*x. Is 30 a factor of b(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 0*x - 12 = 0. Let a be x\/(-5)*(-10)\/3. Suppose 106 = a*g - 226. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1065)\/(-426))\/((-1)\/2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1652883?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 6 + 2 + -3 + -6 + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 3*k**2 + 2201*k + 348896. Calculate f(-502).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 12 + -3. Let i = y - 13. Let v be (-5 - 24\/(-3)) + 36\/(-10). Which is the closest to -1?  (a) v  (b) -0.1  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -31.206 * 0.9446\nAnswer: -29.4771876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*h**2 + h - 2 + 8*h**2 - 3*h to g*h**2 + v*h + f and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s**2 + 49*s + 143. Let f be g(-46). Suppose 3*y - 6*y = 0. Solve f*z + 5*w - 25 = y, 4*w - 20 = z - 0*w for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 10*(-10)\/(-25) - 0. Calculate the highest common factor of 4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**(-8)*c*c)**(5\/7)*((c\/(c**(1\/6)\/c*c*c*c))\/c)**(-29) assuming c is positive.\nAnswer: c**(2489\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3834?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 613061921 to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k - 5435 + 572 = -296*k + 1830 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*t**2*x**2 + 309*t*x**2 wrt t.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -927*r = -812*r - 21505. Solve c = -4*a - 10, 4*a + 191 - r = -4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 284475 = -73*n. What are the prime factors of n?\nAnswer: 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 230 = -t + 6*t, 5*u - t = -354. Let l be (-2916)\/(-14) + 20\/u. Suppose 2*f = -2*f + l. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is d + 48dd?\nAnswer: 48ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 898 - 621. Let s = -9596661\/36010 + -2\/18005. Let z = t + s. What is the common denominator of 69\/4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14dee7 (base 15) to base 2\nAnswer: 11110110010111011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 67782039*d**2*g**3 + 75*d**2*g**2 + 3969*d**2 - 48*g**2 wrt g.\nAnswer: 406692234*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (274\/4)\/(-16 - 165\/(-10)). Suppose 5*x + 521 = 5*p - p, -2*p + 265 = -x. Solve n = -p + m for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.16287*85.\nAnswer: 98.84395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6225 in 0.03, 0.3, -151\/2, 3?\nAnswer: -151\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -823 + 827.09. Let j = -1.9 + b. Let z = 2.189798 - j. What is z rounded to 5 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the third derivative of t**5\/20 + t**4\/24 + t**3\/6 + t**2. Let f = 38 + -36. Suppose 5*n = f*z + 7*n, 0 = -n + 1. Give o(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 5\/(-20)*((-1648)\/4 - 0). Let o = b - 94. Sort -5\/4, -4, -0.2, o in decreasing order.\nAnswer: o, -0.2, -5\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -56659 and -0.00477854.\nAnswer: -56659.00477854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -5*k**2 - 505*k - 3290 = 0.\nAnswer: -94, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = 18 - 3. Let a = g + -9. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 4*v + 26 = 11, -3*i - 5*v = 28. Let d be (-6)\/(-5)*(4 - i). Solve -5*y - d = 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -13 + 33. Let s = 21 - i. Which is the second biggest value?  (a) 0.4  (b) 3  (c) 1\/5  (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 (base 13) in base 9?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 156732 + -3?\nAnswer: 156728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -20 - -1. Let f = h + 21. What is the least common multiple of 18 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8*(-3)\/32)\/((-6)\/4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.8 and 8.7?\nAnswer: -15.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 6032786 divided by -115?\nAnswer: -6032786\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 60*y**2 - 10*y + 196. Let i(o) = -24*o**2 + 4*o - 74. Calculate 5*d(x) + 12*i(x).\nAnswer: 12*x**2 - 2*x + 92","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h + 23 - 7. Is (16659\/(-12))\/((-14)\/56) + h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - p + 4)*(2 - 4 + 0)*(8*p - p - 3*p) + (0*p**2 - 4*p**2 + 3*p**2)*(-2 + 5 - 1).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -163\/156 and 89\/156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 99*r = 20*r + 711 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 13) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 21 and -0.11.\nAnswer: -2.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (m**2 - 12 + 2*m + 12)*(-9*m + 3*m + 2*m).\nAnswer: -4*m**3 - 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 239574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -178416, -356833, -535250, -713667, -892084, -1070501?\n\"Answer: -178417*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9514 + 175.6.\nAnswer: 9689.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.041 bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1 + 3 + 35 - 1 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jxn when three letters picked without replacement from njx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i**2\/2 + 79*i\/2 - 166 = 0. What is i?\nAnswer: -83, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4188692 is divided by 176?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the first derivative of -3*u**2\/2 - 12*u + 35. Let g be j(-18). Calculate the highest common divisor of g and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 4*k + 3*k**2 - 3*k + 4 + 2 - 3. Let q(h) = 9*h**2 + 3*h + 8. Let u(j) = 8*n(j) - 3*q(j). Find the second derivative of u(m) wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1207 by 366.\nAnswer: -1207\/366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2593124958 by 6.\nAnswer: -432187493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4513504  (b) 8  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 127161 times 2\nAnswer: 254322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 + (-12 - (4 - 10 - -7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2759 and 267?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**3\/11 + 96*l**2\/11 + 74*l.\nAnswer: 2*l*(l + 11)*(l + 37)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -37798843*w**3 + 119*w - 44344.\nAnswer: -226793058*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 3*y + 3. Let w be p(4). Suppose 3*a = 7 + 5. Suppose 9*j = 4*j - 3*i + w, a*j + i - 5 = 0. Is -1 at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 75 = 3*d + 2*d, t - 29 = -2*d. Is 921\/9 - (d\/6 + -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in fourty-seven quarters of a decade?\nAnswer: 1410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:30 PM and 3:30 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15783*b + 16332*b + 7854*b.\nAnswer: 39969*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -4*d**2 + d - 1. Give x(-3).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13*x - 140*x**2 - 49*x + 2 + 60*x to n*x + y*x**2 + l and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-36)\/44 + (-8)\/44. Let p = 1\/1226 - 7411\/67430. Is y smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*v**4 + 80*v**2.\nAnswer: -5*v**2*(v - 4)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 88 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**3 - 13*p**2 + 50*p + 37. Calculate the lowest common multiple of 5 and l(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = 28 - 38. Suppose 481 = n + 4*b, -3*n - j*b = -8*n + 2339. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -19 - -51. Suppose -z = -9*s + 40. Differentiate -3*j - s + 4 - 7 - j with respect to j.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 2\/17, -0.15 in descending order.\nAnswer: 2\/17, -0.1, -0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 18 + -16. Let s(x) = -4*x**o + 4*x**2 + 2*x**2. Let w(v) be the third derivative of v**5\/30 - v**2. Give w(s(l)).\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 81461, 162881, 244301, 325721?\nAnswer: 407141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 286421379 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o + 5 = -3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -2479*z**2 + 11*z + 11. Let t(a) = 1237*a**2 - 6*a - 6. Give 11*t(d) + 6*w(d).\nAnswer: -1267*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3146333, 1, 0.4 in decreasing order.\nAnswer: 1, 0.4, -3146333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-220)\/(-770))\/(11\/(-21))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (126\/(-8))\/(18\/(-48)). Let f be a\/12 - (-2)\/4. Suppose 12 = 2*i + 5*u, -f*i - 2 + 0 = -3*u. Put 0, i, 3 in decreasing order.\nAnswer: 3, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v. Suppose 3*z - 6 = 0, 3*q - 5*z = 7*q - 246. Let r(x) = 21*x + 40*x - 76*x - 42*x - q*x. Give r(d(c)).\nAnswer: -116*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -289978 divided by 587.\nAnswer: -494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71*f + 320 = 7*f. Is 22979 + (f - -3) - -8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by -235?\nAnswer: 3\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2782 by -26.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/20*33\/99)\/(159\/(-54) + 3)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q**3\/3 + 14268*q**2 + q\/3 - 14268 = 0.\nAnswer: -1, 1, 42804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(78)*3 - (sqrt(78) + (sqrt(78) - (sqrt(78)*2 - sqrt(78)) - sqrt(78)))*1)\/(4*1*-1*sqrt(216)).\nAnswer: -sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 8770863281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -76116710954 plus 4?\nAnswer: -76116710950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18, -11, -3\/8.\nAnswer: -11, -3\/8, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -4, -43, 5 in decreasing order.\nAnswer: 5, -3, -4, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 99, 74, 49, 24, -1?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the third derivative of -h**5\/120 + 32*h**4 - 49152*h**3 + 6263*h**2. Factor q(k).\nAnswer: -(k - 768)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*d - 30 - 87. Let m(i) = -i**3 - 9*i**2 + 9*i - 6. Let o be m(-10). Let r be o\/18 - (-106)\/9. Which is bigger: d or r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -215 - -793. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.17?  (a) 3  (b) 16  (c) 5  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -858701*n**2 - 113. Let p(q) = -3*q. Determine a(p(m)).\nAnswer: -7728309*m**2 - 113","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 2 + 381*h**2 - 357*h**2.\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w - 76 + 50 = 62, 110 = -f - 5*w + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 4*f = -20. Suppose -2*a + 5*v = f, 4*a - 18 = -5*v + 2. Solve a = 4*b + 2*s + 4, -8*b - 4 = -4*b - s for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00172667 to 5 dps.\nAnswer: -0.00173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*k**2 + 2990*k + 48352.\nAnswer: -2*(k - 1511)*(k + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 738*g - 734*g + 3*p + 62, 4*g - 5*p = -78 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 4*m + 132. What is r(-24)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.433 + -226.567. Let k = 301.5 + z. Let o = k - 74. Sort o, -0.4, 0.1 in descending order.\nAnswer: o, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -67456, -67124, -66792, -66460, -66128?\nAnswer: -65796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0106047885 rounded to six dps?\nAnswer: -0.010605","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t**3 - 102*t**2 + 65*t + 3213. Give b(101).\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tnptgp. What is prob of sequence gp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -302867*i*x + 452023*i - x wrt x?\nAnswer: -302867*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -53346300 to the nearest 1000000.\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 3129770 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 56\/5 or 1162843?\nAnswer: 56\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -12*f - 1. Suppose 35 = -2*b - i, 5*i + 0*i + 25 = 0. Let v be (-2)\/5 - (-9)\/b. Is c(v) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -2\/3, 1.19, -0.4, -3 in ascending order.\nAnswer: -3, -2\/3, -0.4, -0.1, 1.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**2 - 5*h - 1. Let o be w(5). Let z be o\/(-2)*6 + 1. Solve i + 4*b = 14, -b + z = 2*i + b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -81.1 - -76.17. Let x = -5 - p. Let w = 0.44 + -0.94. What is the second biggest value in x, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in b + 43*b - 25*b.\nAnswer: 19*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*sqrt(75)*3 + -2 - (1 + (sqrt(363) - (sqrt(363)*2 + 4)))) + -3)**2.\nAnswer: 256*sqrt(3) + 12292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**2 - 11*i - 6. Let a be h(-10). Suppose 0 = 3*p + 15*p - 576. What is the highest common divisor of p and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 7443.87 minutes?\nAnswer: 446632.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 257*g**2 - 61*g - 50. Let j be n(-25). What is j rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m = -7*m + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*f**3 - 20 + 12 - f + 5 + 2*f**2 + 2 as y + u*f + l*f**2 + n*f**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 19, -2, -1\/3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10*3*3\/(-18)*(-196)\/(-140).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w = 2*n + 2*w + 4, -2*n + 5*w = -24. Suppose 3*q + n*q = 80. What is the remainder when 62 is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 867059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -3*r + 278. Let x = 423 - r. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -16 - 20. Let n = x + 50. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15423352 is divided by 3319.\nAnswer: 3278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the second derivative of 0*l**6 + 1\/231*l**7 - 1\/55*l**5 + 1\/33*l**3 + 0 - 7*l + 0*l**2 + 0*l**4. Factor k(m).\nAnswer: 2*m*(m - 1)**2*(m + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes before 4:46 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0\/1*-1 + -76 + 78. Put 3, j, 5, -2 in ascending order.\nAnswer: -2, j, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1081 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 62, 144, 224, 302, 378, 452?\n\"Answer: -b**2 + 85*b - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 127 + -377\/3. Let d(w) be the first derivative of 8\/3*w + 2\/9*w**3 - 3 + f*w**2. Suppose d(r) = 0. What is r?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ryyvv. Give prob of sequence rvv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 18 = a, 5*t - 3*a + 0*a = 34. Suppose 0 = -4*v - i + 156, 3*v = -v - t*i + 140. Suppose -v*c = -36*c - 196. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5361 + 16871 = 3*b + 5*p, -3*b - 7*p + 11494 = 0. What is the greatest common divisor of 616 and b?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14 + (-92136)\/6270 - (6 + (-672)\/114)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*c + 2*u - 10, -14*c + 9 = 3*u - 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(90)*1)\/(sqrt(720)\/sqrt(5) - sqrt(9)))\/(sqrt(200)*-3 + sqrt(2) + sqrt(20)\/(sqrt(10)*3)).\nAnswer: -sqrt(5)\/43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = 5*c - 182988, 2*c - c + 3*b - 36609 = 0. Round c to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g - 25. What is y(8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -19 * 567.\nAnswer: -10773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 96344?\nAnswer: 2, 12043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -102 + 97.7. Let h = -1.8 - n. Let z = h + -3. Sort -7\/3, z, -1 in decreasing order.\nAnswer: z, -1, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**2 + 6*c + 3. Suppose 3*o + o = -128. Let a = o + 28. Let k(v) = v**3 + 4*v**2 - 3*v - 6. Let y be k(a). Give s(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 533022259?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5611 is divided by 104.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -v**2 - 17281487*v + 3*v**2 + 17281487*v + 3*v**2.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 3996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k, 1 x, and 1 r when three letters picked without replacement from xqzrqykk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 21 = -5*s. Calculate the remainder when s is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2\/5693 + -267559\/34158. Find the common denominator of w and -43\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1090 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 130 at least as big as 128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -27 + 91. What is the remainder when l is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30563101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:38 PM and 3:33 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-7)\/14*-2)\/((-1)\/(-2)). Let s(h) be the third derivative of 5\/6*h**3 + 1\/8*h**4 + h**q + 0*h + 0. Let o(n) = -n - 1. Determine -4*o(p) - s(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*v + 288*v = 67*v. Let r(w) be the first derivative of 0*w + 9\/2*w**2 + 4 + 9\/4*w**4 + v*w**3. What is the second derivative of r(y) wrt y?\nAnswer: 54*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 327 is divided by (54\/126 - -3)\/(4\/126).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.177143696 to 4 dps.\nAnswer: 0.1771","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -103a3 (base 16) to base 14.\nAnswer: -1a319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nsssznnzznsnnnznnzz. Give prob of picking 4 s.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 12\/101 or -3?\nAnswer: 12\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = -4*g + 28, 2*g = g + 5*k - 5. Suppose -4*r + 6*r + g*h - 370 = 0, 0 = -r - 5*h + 195. Does 25 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -52 - -51. Sort k, 2, 3, 4 in increasing order.\nAnswer: k, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 22*((-2)\/10)\/(44\/(-110)). Solve 28*c + 85 = u*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 607928 and 11200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 - -2. Let w be (-20550)\/(-8118) - (-1 + q). Let v = -80\/123 - w. Calculate the common denominator of v and -47\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 5*z**3 - 10*z**2 + 5*z + 8. Calculate u(4).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pdv. Give prob of sequence vv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21384 is divided by 691?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 6 - (8 + 2 + 4)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16 + 24*c**2 - 16)*(-62*c**2 - 15*c**3 + 62*c**2 + (-c + 4*c - 2*c)*(-c**2 - c**2 + c**2)).\nAnswer: -384*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 3, o: 2, g: 7, d: 1, q: 1}. What is prob of sequence oqg?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (312\/260)\/((1386\/(-300))\/(-7)*5)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -9?  (a) 37  (b) -26  (c) 2  (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -6*u**2. Let b(q) = -87*q + 179*q - 89*q. Calculate b(s(k)).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-41 - (-4 - 31)) + (296\/26)\/2.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 - 17 = -27*r + 17 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 84790 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -192987 divided by 41?\nAnswer: -4707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 230 is divided by 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**2 + 748*j + 3022. Give q(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -630 - 400 = -515*h. Factor -1\/2*m - 9\/4*m**3 + 0 - 1\/4*m**5 - 5\/4*m**4 - 7\/4*m**h.\nAnswer: -m*(m + 1)**3*(m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(11) + 1 + 0 + -4.\nAnswer: -3 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 182543347 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2838 and 29634.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1\/3260, 19, -514\/3.\nAnswer: -514\/3, -3, -1\/3260, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 - 3*t + 2 + (-2 + 5 - 2)*(-1 + 2*t + 1) - 1 + 4 + 4*t - 6.\nAnswer: 3*t - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1369, -1370, -1371, -1372?\n\"Answer: -m - 1368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Are -0.05 and -195518 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*h**4 - 1448*h**3 + h**2 + 141380*h.\nAnswer: 24*h**2 - 8688*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**3 - 5*u**2 + u - 1. Let d be w(5). Solve -4*q = -g - 3*q + d, -4*q = -4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, h: 2, v: 1, z: 1, y: 1, a: 1}. What is prob of sequence az?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -5*b**3 + 2*b**2 + 3*b + 2. Let y(c) = -c**3 + c. Let o(h) = -h**3 + 12*h**2 + 28*h + 1. Let x be o(14). Determine x*s(n) - 3*y(n).\nAnswer: -2*n**3 + 2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 13*s - 19. What is the remainder when (100\/10)\/((-6)\/(-15)) is divided by y(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*c = 14*c + 136 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {l: 1, t: 1, h: 5, s: 2}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 59883\/4 + -26767897\/1788. Calculate the common denominator of 4\/3 and k.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 minutes after 4:39 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 217256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 (base 8) in base 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -2320, -2318, -2316?\n\"Answer: 2*n - 2322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-7))\/(-5*24\/140).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14281770, 14281743, 14281702, 14281641, 14281554?\nAnswer: 14281435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 332475 and 3777350.\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4404603 (base 7) to base 16.\nAnswer: 83b65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 359238768?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 12*(14\/6 - 2). What is the second smallest value in 2, 3, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 423 + -57. Suppose 5*o = 2*o + j. Let t = o + -69. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 70882.\nAnswer: 2, 7, 61, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 103 + -224011?\nAnswer: -223403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**3 + 42*x**2 - 66*x + 118. What are the prime factors of b(-29)?\nAnswer: 5, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2\/5)\/((3 - 10)\/35). Let l be -2 - (-9 + -3)\/4. Sort l, b, 4 in descending order.\nAnswer: 4, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from soeraeg. What is prob of picking 1 s, 1 a, and 1 e?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*g*q - 33784*g + 3207*q wrt q?\nAnswer: -2*g + 3207","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 7*a - 6. Is p(9) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 328563.\nAnswer: 3, 43, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4796*d*s - 2*d - 55*s - 1516200 with respect to s.\nAnswer: 4796*d - 55","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:32 AM and 1:24 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 14\/6 - 6\/(-9). Suppose 0 = 2*u - 5*f + 11, 4*u - 2*f - 2 = -0. Find the third derivative of 0*s**g + 3*s**3 - s**3 - 3*s**u wrt s.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -17081 + 17081.00028756. What is t rounded to 5 decimal places?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -22*m + 34. Let o be s(-8). Suppose -17*d + 12*d + o = 0. Let x = -27 + d. What is the highest common divisor of 120 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5370 by 6.\nAnswer: -895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 28*l - 14*l + 70 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -42653, -341146, -1151341, -2729090, -5330245?\n\"Answer: -42642*w**3 + w**2 - 2*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*a + 13 + 903*a**3 + 6 - 55 + 16 + 15 to the form s + t*a + n*a**2 + y*a**3 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 9*u**3 + u**2 + 5*u + 5. Give v(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 167620968?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2\/((-8)\/6))\/(15\/(-30)). Let b be 6\/(-2) - (0 - 7). Solve -b*m + 16 = -4*l, k*l = 4*m - 1 - 14 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in 2\/7, 4998, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 594829969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 - 2*y + 3 + y in the form a + z*y and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 1  (b) 0.3  (c) -0.01  (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 1094*o - 1089*o. Let m be (1*-2)\/(-2) + 1. Suppose -19 = -u + m*c + 2, 3*u - 54 = -3*c. Calculate the remainder when u is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7b0b9 (base 15) in base 11?\nAnswer: -2482a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 20695*m**2 - 43088*m?\nAnswer: 41390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 593716?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 17*l**2 + 230*l + 125. What is d(-15)?\nAnswer: 500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a = -a. Is a - -1 - (0 - 110) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -25 + 28. Suppose 0 = w*f - 28 - 8. What is the tens digit of (-1)\/6 - (-2)\/(f\/673)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t + 7*t - 2*t)*(3 + t - 3) - 2*t**2 + 2*t**2 + 3*t**2 + 3*t**2 - 3*t**2 + t**2.\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 902172?\nAnswer: 2, 3, 75181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*t = 4*t + 3. Let g be (1 - 2)\/(t\/4). Is 8 a factor of 19 - (-3)\/(3 + g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64*w**4 - 3232*w**3 - 27204*w**2 - 13000*w - 1600 = 0. What is w?\nAnswer: -40, -10, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v - 5*s - 16, -3*s = 3*v + 6 - 0. Let r = v - -9. Calculate the highest common factor of r and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 208 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.092*4.\nAnswer: -0.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 6 - (-1 + 5 - (-4 + 9))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6501*v**5 + 4428*v**2 + 227553181*v - 227553181*v wrt v.\nAnswer: -390060*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that -4*j**4 - 2308*j**3 - 333912*j**2 - 235008*j + 13934592 = 0.\nAnswer: -288, -7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 24*a - 523. Calculate the smallest common multiple of 20 and a.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q = -5*s + 12*q + 52, -2*s - 2*q + 4*q = -16 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-40)\/32*8\/(-2). Suppose 3*k - 3*n = 6, 2*k - h*n = 11 - 7. Solve k*b = 2*f - 8, 4*f = 5*f - 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3326, 4850, 6374, 7898, 9422, 10946?\nAnswer: 12470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 38*t**3 + 44*t**3 - 80*t**3 + (0 + 0 - t)*(-2*t**2 + 3*t**2 - 2*t**2).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 230*o**2 + 114*o**2 - 61*o**2 + 345*o - 1 - 338*o + 132*o**2.\nAnswer: 415*o**2 + 7*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2.9 + 3. Suppose -18*p = -10*p - 192. Let f be p\/(-36) - 22\/12. Which is the second smallest value?  (a) -4  (b) t  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.1  (b) -0.31  (c) 2\/11  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 270, 554, 854, 1176, 1526, 1910, 2334, 2804?\n\"Answer: k**3 + 2*k**2 + 271*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -48 - -d?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*o + o + 5*o - 2*o - o + 2*o + (0*o + 3*o - 5*o)*(2 + 4 - 2) to j*o + x and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (26\/(-6))\/((-6)\/(-9)) + -252*22\/(-792).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k - 5*m - 1482, -6*m + 5*m = 0. Let y = k + 814. What is the highest common divisor of y and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 5*u + 13. Give w(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -13.6616966 rounded to two decimal places?\nAnswer: -13.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -172536 or -174430?\nAnswer: -172536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**2 - z + 3. Let p be j(0). Let h be (903\/126)\/43 + 46\/(-132). Which is the third biggest value?  (a) h  (b) -5  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 + -4. Suppose -704*j + 77 = -627*j. Put 4, j, x in descending order.\nAnswer: 4, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3918257 - 1d?\nAnswer: -3918276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 4, 1, -134 in ascending order.\nAnswer: -134, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 136*s**3 - 8*s - 6. What is u(-1)?\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add 7.9 and 8713622.07.\nAnswer: 8713629.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2173697262?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -c5 - 1?\nAnswer: -c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:10 PM and 12:20 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 57 + -46. Solve 3*h = -2*f + b, -3 = -f + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 - -4. Let h be 390\/2925 + (-2)\/15. Solve n = -d - h*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -7*k**3 + 34*k**2 + 6*k. Suppose 0*q + 5*i - 60 = -4*q, q + 35 = 5*i. Calculate m(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 727*j - 5. Let h(d) = -875*d. Calculate s(h(b)).\nAnswer: -636125*b - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 15610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 42*k**2 + 30*k**3 - 42*k**2.\nAnswer: 30*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (54\/(-16))\/(-9) + 10185\/(-2328)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -25 + 27. Suppose -256 = 99*p - 163*p. What is the closest to 2 in p, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 3 - (0 + (-3 - (2 - 6)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -6070000 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 196 divide 2184812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -22120 (base 3) in base 2?\nAnswer: -11100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-121)\/(2904\/48) + 68\/52\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.4786 - 0.0126. Let g = y + 240.534. Let b = g + -244.34. Round b to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*k*x**2 + 2*k*x + 2*k - 329*x**2 + 637 with respect to x.\nAnswer: 8*k*x + 2*k - 658*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (300\/(-1720)*(-8)\/50)\/((-36)\/120)?\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.06 - 0.17. Let c = i - 0.09. Are c and -0.2 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0887290183 rounded to 4 dps?\nAnswer: -0.0887","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 12 and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*g - 1 + 16. Solve 3*u - g = 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r**3 + 3*r**2 - 22*r + 4. What is the remainder when 72 is divided by y(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(-2)*1)\/(-42*12\/(-288))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6*(-130)\/312*6\/5)\/((-3)\/(-62)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 62630078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*d - 4*d + 21. Suppose 4*p - 544 = -d*l, 0 = 6*p - 3*p + 2*l - 408. Suppose k - 6 = 11. What is the highest common factor of p and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1013818 + -410?\nAnswer: -1014328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3328538133?\nAnswer: 3, 29, 601, 63659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 179210917?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2\/(-15)*3)\/((-2)\/10). Find the third derivative of 137*v**m - 191*v + 191*v - 89*v**4 + 63*v**3 + 90*v**4 wrt v.\nAnswer: 24*v + 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 848.951 centimeters?\nAnswer: 8489.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3311112113 + 22330?\nAnswer: -3311023123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 50*d + 20726 - 67226. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, -0.34, -1, 11?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -2279, 6, 2\/55, -2, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o = 4*o + 5*p + 55, 3*p - 1667 = 2*o - 1640 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 0.293, 0.17625, -1?\nAnswer: 0.17625","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/(14\/4*(-44)\/22).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 3  (b) -5  (c) -0.0086\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*h**3 + 2*h**2 + 3*h**3 - 2*h**3)*(-104*h - 69*h + 44*h - 9*h**2).\nAnswer: -9*h**5 - 147*h**4 - 258*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 438\/5 + -88. What is the nearest to a in 3\/7, -1\/16, 2?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = -5 + 9. Let c = -6 + 10. What is the greatest common factor of c and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -3*k**2 + 9793*k - 19577. Determine p(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26403 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2568 and 1416.\nAnswer: 151512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -586*z + 35763. What is x(62)?\nAnswer: -569","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -122, -396, -826, -1412, -2154?\n\"Answer: -78*z**2 - 40*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.05655987032 to 4 decimal places.\nAnswer: -0.0566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 365708 and 86485?\nAnswer: 2471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-24*k**2 + 24*k**2 - 2*k**3)*(-183 - 21 - 72)*(-7 - 3 + 1).\nAnswer: -4968*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.238 * 0.6.\nAnswer: 0.1428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -17 or -283\/17?\nAnswer: -283\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 389 - 68. Suppose 5*l - 189 - o = 0. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 8 - p - 2 + 0*p + 2. Let f be j(6). Let x = 9 - 0. Solve -f*v + 8 = -3*v - 2*u, -2*v + x = -u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1068*i - 1052*i - 1049*i + 3145*i.\nAnswer: -24*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -42*v**3 + 3*v**2 - 15548*v - 31093. Calculate u(-2).\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -6 + 300\/21 - 4\/14. What is the greatest common factor of 16 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -31 divided by 4400.\nAnswer: -31\/4400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -29 + 81. Suppose 49*r = h*r - 9. Suppose 120 = 5*q + 7*k - 2*k, -5*q + 128 = r*k. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -132485*i - 133099*i + 265582*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (4986\/23268)\/(4\/10*(-2280)\/(-64))?\nAnswer: 2\/133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, q: 3, i: 4, r: 2}. What is prob of sequence ir?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0590866207 rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/11, -4, -40, 2\/113, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2, 175, -2\/19, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 643, 1\/986, 4, -0.325?\nAnswer: 1\/986","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -578581, -579241, -580341, -581881, -583861, -586281?\n\"Answer: -220*r**2 - 578361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 3*j - 22. Let s(n) = 4*n - 33. Let a(p) = -2*s(p) + 3*t(p). Let l(f) = 8*f**2 + 118*f. Give l(a(r)).\nAnswer: 8*r**2 + 118*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h**2 + 100140*h + 129102775 = 0. What is h?\nAnswer: -18643, -1385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2 + (0 + -5 - -5). Differentiate -d*j - 44*j - 58 - 5*j + 107*j with respect to j.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 160*q**2 - 283*q**2 - 289*q**2.\nAnswer: -412*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-5 + (sqrt(1377) + (2*sqrt(1377) - sqrt(1377)) + 5 + -2 + sqrt(1377) + -1)**2).\nAnswer: 648*sqrt(17) + 74352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -193075, -193074, -193073, -193072?\n\"Answer: u - 193076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 50300 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5 + -10. Let r(i) = i**2 + 7*i + 3. Let c be r(w). Let z(b) = -2*b**3 - 5*b**2 + 7*b - 1. Is z(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -808*w + 114 = -789*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**2 - 7*f + 1. Let t be o(7). Let i = t - -1. Does 20 divide 61 - (i - 2\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) + 1 + sqrt(11))**2*-5 + 4.\nAnswer: -221 - 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i. Let o(s) = -24*s. Let l = 99 - 135. What is l*j(h) - o(h)?\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/544 and 93\/2240.\nAnswer: 38080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/15  (b) 0.2916  (c) -0.1  (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 306 - 37. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is nineteen quarters of a millimeter in micrometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 254, 259, 268, 281?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.026 - -0.964. Let h = k + 0.01. Which is the nearest to h?  (a) -4  (b) -2  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 153.89316 to 0 decimal places.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60*o + 16 = 5*z + 64*o, -4*z - 16 = -4*o. Suppose -f + 1 = -7. Suppose 0 = -4*c - 3*t + f, c + z*c + 3*t = -7. Let q(y) = y - 6. What is q(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -14, -85, -212, -401, -658, -989, -1400, -1897?\n\"Answer: -j**3 - 22*j**2 + 2*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:06 PM and 7:20 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -122023230110 - 11?\nAnswer: -122023230121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 116410083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 21\/2 of a kilometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/3 < -43978345?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.006382 to two dps.\nAnswer: -1.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -2*a**2. Let d(u) be the third derivative of u**5\/60 - 4*u**3\/3 - 143*u**2. Calculate d(k(n)).\nAnswer: 4*n**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -30633 - -30644. What is the biggest value in 0.22, -23, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p**2. Let u(b) = -13*b**2. Let m be 2*(-5)\/2 - (44 + -54). Suppose 2*o = m*s - 4, -5*s + 4*s + 6 = -3*o. What is o*u(t) + 22*q(t)?\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8375, 16748, 25045, 33236, 41291?\nAnswer: 49180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -1176, -2, -2\/7, -0.3 in decreasing order.\nAnswer: -2\/7, -0.3, -2, -8, -1176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3 and 23966.\nAnswer: 71898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 5*o = -o. Put -10, 3, -4, o in increasing order.\nAnswer: -10, -4, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -5966*o - 1223014. Give d(-205).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2\/(-3)*(-783)\/18.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -7*a + 2. Let l(m) = -6*m + 1. Let k(x) = 4*l(x) - 3*n(x). Let d be 154\/143 + 2\/(-26). Let h(z) = -z. Determine d*k(q) - 6*h(q).\nAnswer: 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -3055\/1409?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**(-2\/43))\/q*q\/(q\/((q*q\/(q*q\/(q**(-5)\/q))*q*q)\/q)) assuming q is positive.\nAnswer: q**(-217\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (29 + 7 - -12 - 21) + -17?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 4168410\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h - 3*w - 35 = -5*w, w = h - 9075 + 9075 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7375 - -2924. What is the ten thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of c**6 + 333*c**3 + 205224*c**2 wrt c.\nAnswer: 120*c**3 + 1998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(4*-2*sqrt(170) - sqrt(170))\/(sqrt(810) - (sqrt(810)*1 - sqrt(810))).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 53\/181356 and -37\/44.\nAnswer: 1994916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -647*z**3 - 1 + 645*z**3 + 1 + 0.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -27 - 29. Let f be 8\/24*6*-2. Put p, f, 1 in decreasing order.\nAnswer: 1, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d**2 + 2667*d + 2668 = 0. Calculate d.\nAnswer: -1, 2668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (1843*n - 89*n**3 - 1843*n)*(-4*n + n + 2*n) in the form f*n**2 + k*n**3 + a*n + t + x*n**4 and give x.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggpgppgppg. What is prob of picking 1 p and 1 g?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y - 2*y + 2*y)*(-3 - 1 + 1)*(2*y + 0 + 0).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -5*t**2 + 2*t - 7. Let z(o) = -4*o**2 + o - 6. Suppose 5*i + 40 = 5*c, -4*i + 1 - 3 = 2*c. Let p(a) = c*m(a) - 6*z(a). Calculate p(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12520.\nAnswer: 2, 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 4, -15, -46, -89?\n\"Answer: -6*o**2 - o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12*(-9)\/(-54)*-4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*u - 10*u = -3*u - 3. Let t(d) = d**2. Let y(p) = 2*p**2 + 26. Calculate u*y(i) + 4*t(i).\nAnswer: 2*i**2 - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 364 is divided by 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (120\/20 - (6 - 0))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w - 1. Let y(m) = -8*m + 3. Let u = -3938 - -3940. What is u*y(t) + 10*l(t)?\nAnswer: -6*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1211 + -1111202?\nAnswer: -1102221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:06 AM and 12:56 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -2*r**2. Let g(x) = 11704*x. Suppose 3*n - 5082 = -3*n. Let k(u) = 83*u. Let i(p) = n*k(p) - 6*g(p). Give y(i(l)).\nAnswer: -11858*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (10\/6)\/(7\/21). Let v(i) = i. Let x be v(d). Suppose z = 11 + x. What is the smallest common multiple of 14 and z?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(2\/39))**(-46) assuming u is positive.\nAnswer: u**(-92\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -126, -13, 4, 18, -4, -23 in decreasing order.\nAnswer: 18, 4, -4, -13, -23, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(480)*2)\/((sqrt(90) - (sqrt(90) + sqrt(90) + sqrt(90)*-1 + sqrt(90) + sqrt(90)))\/sqrt(9)).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -5183, -10404, -15627, -20852, -26079?\n\"Answer: -k**2 - 5218*k + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.097752ml in litres?\nAnswer: 0.002097752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 79 + -138. Let i = -60 - t. Which is the nearest to -1?  (a) -3  (b) -2  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.493 less than -63347342?\nAnswer: -63347338.507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 158 + 142 = -4*c. Let o be 5\/(c\/24) + 2. Let y = -155 - -1087\/7. What is the closest to o in 5, 0.4, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 6*o + 5. Let a be -4 + (11 - 6) - o. Solve -v + 4*v - a = -2*s, 4*s - 4 = 3*v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2975*r**3 - 1942*r**2 + 73834152*r wrt r.\nAnswer: -17850*r - 3884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 16686*c**3*y + 16725*c**3 wrt y?\nAnswer: 16686*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-5\/2))**(9\/10)\/(l*l**(-2\/3)\/l*l*l)**(-2\/13) assuming l is positive.\nAnswer: l**(-319\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -v + 12, -2*v - v + 5*d = 8. Suppose -v*r = 5*f - 402, -500 = -7*r + 2*r - 5*f. Does 4 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -150 - -149.846. Let q = -0.254 - -0.3. Let v = q - r. Are -2 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.016, -0.1, -1, 3, 30 in ascending order.\nAnswer: -1, -0.1, 0.016, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j*j\/j**(-2))\/(j*(j*j*j\/(j*j*j**(3\/5)*j*j))\/j*j*j))\/((j**14*j)\/j**2) assuming j is positive.\nAnswer: j**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = 4*h - 20, -2*h + 10 = -y - 0*h. Suppose y*o + 4 = o. Solve 2*x + 2*x = 4*i - 32, 2*i - o = -x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6090391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 48\/(-56) - ((-114)\/(-4))\/((-42)\/72). Solve -130 = -q*s - 34 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 - 2)*(-w**2 + 6*w**2 - 3*w**2) + (3 - 4 + 0)*(-5*w**2 + 0*w**2 + 3*w**2) + (-3 + 3 - w**2)*(1 - 4 + 4).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 9*a**2. Let w(i) = -3*i - 4. Let o(j) = 0*j - 9 + 5*j - 11*j. Let g(b) = 4*o(b) - 9*w(b). Calculate g(h(p)).\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 295, 821, 1991, 4045, 7223, 11765, 17911, 25901?\nAnswer: 35975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.36 - -0.06. Let b = 32 + -27. What is the second biggest value in k, b, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25 is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-84)\/(-48) + (-1133)\/(-4) is divided by 27.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 77093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3013 + 3031. Calculate the highest common divisor of q and 1026.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i + 11 = -s, -4*i - 10*s + 12*s = 18 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -72 - -75. Suppose d*v = -4*n + 113, -n = 5*v - 0*n - 194. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -10*g. Suppose s = -101 + 76. Let v = s + 40. Let f(w) = -3 - 6*w**2 - 12 + v. Give f(a(d)).\nAnswer: -600*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0 - 7*(-1)\/(-1). Let d(l) be the third derivative of l**5\/60 - l**4\/6 - 5*l**3\/3 + 10*l**2. Is d(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 28*d - 232. Let a(b) = -9*b + 77. Let h(g) = 7*a(g) + 2*i(g). Let l be h(12). Put 5, l, 4, -3 in descending order.\nAnswer: 5, 4, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 4 = 0, -5*h = 2*x - 7*x - 30. Let r = h - -15. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 + -3. Let c(d) be the first derivative of 1\/15*d**5 + 1 + z*d**2 - 1\/9*d**3 + 1\/12*d**4 - 1\/18*d**6 + 0*d. Suppose c(s) = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 + 9.27.\nAnswer: 10.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -145967.9875 rounded to the nearest 10?\nAnswer: -145970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18\/(-8))\/(21\/(-56)*1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + -3 + 1 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 24622829773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 968, 1936, 2906, 3878?\n\"Answer: p**2 + 965*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 46\/291 and -109\/402.\nAnswer: 38994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 96036944 and 969?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 173 - 172.99999841. What is c rounded to seven decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -8190, -16527, -25152, -34209, -43842, -54195, -65412?\n\"Answer: -24*h**3 - 8169*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5a - 1a?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 25*f**3 + 2 - 2*f**2 - 3*f**4 + 0*f**4 - 23*f**3 to the form c*f**2 + w*f + i*f**3 + v*f**4 + k and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3102*y - 75031 = 83171 for y.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 35 = -4*l - 4*d, -4*d + 4 = 0. Let b = l + 29. What are the prime factors of (-1180)\/(-35) - b\/7?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8910 divided by 6\nAnswer: -1485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence skgx when four letters picked without replacement from bkbgxbggjsbj?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -196, 276, 748?\nAnswer: 1220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 1 + 0 + 0 + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(4\/7)\/u**(-3\/10))**50*(u\/((((u*u*u**(-1)*u)\/u)\/u)\/u))**(5\/3)*(u**2\/u)**(-2) assuming u is positive.\nAnswer: u**(943\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 745972481?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 935 divide 4145951285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**3\/11 + 110958*n**2\/11 + 3108000*n\/11 + 21758744\/11.\nAnswer: -2*(n - 55507)*(n + 14)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h - 2 = 4*c, -14*c + 3 = 44*h - 47*h for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - i + 116 = 0. What is the remainder when 56 is divided by i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2\/1343 - 8140\/55063. Which is smaller: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 60, -14, 5693 in descending order.\nAnswer: 5693, 60, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/48)\/((-16)\/256*4)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -173 < -176?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put together -18.88 and 0.25314.\nAnswer: -18.62686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -7, -58, -5.\nAnswer: -58, -7, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -19495\/8 - -39711395\/16296. Let g = 70037\/20370 - l. What is the common denominator of 55\/18 and g?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/(-12) + 45\/20. Suppose 0 = -o - o - s. Let i be (2\/4 + o)*6. Let a(n) = n**2 + 3*n + 3. What is a(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + (-2 + 1 - (-10 - -6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-86)\/10 - 9\/(-45) and -39\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 36067 and 1118077?\nAnswer: 1118077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -48863, -97138, -145409, -193670, -241915, -290138, -338333, -386494?\nAnswer: -434615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o - 5*q + 16 + 14 = 0, 2*o = q for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*j + 18511 - 26*j - 6572.\nAnswer: -4*j + 11939","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {u: 7, d: 12}.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*m - 30*m = 5*m - 122598. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-54)\/(-168)*96*(-12)\/(-108)?\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 4*m**3 - m**2 - 20*m - 12. Let h(g) = -4*g**3 + 2*g**2 + 20*g + 12. Let k(n) = -3*h(n) - 2*u(n). What is x in k(x) = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u - 3123 = -4*y - 3171, 36 = -13*y + 2*u for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 51270?\nAnswer: 2, 3, 5, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1515)\/20 - (4 - (-95)\/(-20))) + 9?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00070690564 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (410564\/(-158025) + 20\/750)*154\/4.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48*w**2 - 130*w**2 + 78*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (835*b**2 - 834*b**2 - b - b - 1)*(-b**3 - 6*b**3 - 3*b**3).\nAnswer: -10*b**5 + 20*b**4 + 10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 5, d: 1, n: 5, b: 1, w: 2, a: 1}. Give prob of picking 1 a and 1 b.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3.3199361 + -3.32. Round g to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4970533?\nAnswer: 19, 131, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**3 + 12*s**2 - 11*s. Suppose -5*a + 4*f = -71, a - 3*f = f + 27. Let i be o(a). Suppose i*m**2 + 4\/3*m**3 + 2\/3*m**4 - 4\/3*m - 2\/3 = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the third derivative of -n**7\/1680 + 3*n**5\/4 - 53*n**2. Let b(h) be the third derivative of m(h). Let i(g) = -g. Give -6*b(x) + 22*i(x).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -105\/736 and -101\/247112.\nAnswer: 988448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-1\/10)\/c)\/c*c\/c**(-1\/7)*c**(-3)\/c**(-1) assuming c is positive.\nAnswer: c**(-207\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 7, 10.955352, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 0.3, 179.8, 3, 1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -174, 5, 4.\nAnswer: -174, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -23199*p. Let w(z) = 460*z. What is c(w(j))?\nAnswer: -10671540*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 76046098 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(36)\/(sqrt(2)*-3) - (sqrt(18) + (sqrt(18) - sqrt(36)\/sqrt(2)))*-5)\/(-4*(sqrt(54)\/sqrt(24) + (sqrt(9) - sqrt(27)\/sqrt(3))*-6)).\nAnswer: -7*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -92.455 - -88.455. Let d(i) = 2*i**2 + 2*i. Let t be d(-2). Let b = -0.37 + -0.03. Sort -0.1, t, x, b in descending order.\nAnswer: t, -0.1, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**3 + 3*j**2 + 18. Let s be -25 + (-27)\/(594\/(-704)). What is c(s)?\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -128359357 less than -123?\nAnswer: 128359234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -6078345 (base 9) in base 10?\nAnswer: -3240689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (80\/100)\/(7\/35). Let b(z) be the third derivative of 0*z**3 + 0 - 14*z**2 + 0*z + 1\/204*z**g + 1\/510*z**5. Let b(y) = 0. Calculate y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 3*i + 23. Calculate the least common multiple of 4 and l(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -44939, -46897, -50153, -54701, -60535?\nAnswer: -67649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fifty-one fifths of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 7*b - 18 = -v, 5*v - 30 = -3*b. Solve -4*t = -0*y + y - 12, 4*t - v*y = 28 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2323103 weeks in minutes?\nAnswer: 2341.687824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y - 2*u + 28, 1 = -2*y - 5*u - 27. Let r be (8\/14)\/(44\/y). Let i be (0 - (-1)\/(-3)) + 1. Which is the nearest to -11?  (a) i  (b) r  (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 589577?\nAnswer: 17, 79, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 31384849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = n + 16 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -200 - 1001112200000221?\nAnswer: -1001112200001121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y - 5*b + 11, -2 = 2*b - 3*b. Let v = -261 + 268. Sort v, y, 0.\nAnswer: 0, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 120771211081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.00525 times 0.4\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*o*s*z**4 + o*z**5 - 3*o*z - 324*s*z**3 + 5*s*z**2 + 260*s*z wrt z?\nAnswer: -48*o*s*z + 60*o*z**2 - 1944*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-5\/2)\/i*i)\/(i\/(i*i**4))*(i**(6\/5))**(-6\/17))**(1\/18) assuming i is positive.\nAnswer: i**(61\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -24.4*-38.3592\nAnswer: 935.96448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*f - 11*f + 528. Let r = f + 33. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a = t - 11, a + 1703 - 1705 = -2*t for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0.1721*-7\nAnswer: -1.2047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 564*o**3 - 1608*o wrt o.\nAnswer: 3384*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**3 + 10*y**2 - 10*y + 11. Let c be d(9). Let x = 30 - 18. Suppose -5*l + x = -c*l. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 186 + -130. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1359 a factor of 3382551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**2. Let d(y) = -78*y - 2. Determine d(z(x)).\nAnswer: -78*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2 and 397 + -3 + (1\/4*-4 - -7).\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0\/157)\/(1\/(-3)*-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 64*m**3*n - 815*m**3 - 30*n wrt n.\nAnswer: 64*m**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 72189 and 54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 3*n - 192 = 0, -9*p + 5*p + 148 = -n. Calculate the smallest common multiple of (p\/(-108))\/(2\/(-90)) + -3 and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 b and 1 e when four letters picked without replacement from {e: 2, b: 6, y: 2, s: 3, r: 3, h: 2}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**13*y*y\/(y*y\/(y\/(((y**(-4\/15)\/y)\/y)\/y))) assuming y is positive.\nAnswer: y**(259\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j**2 + 23*j + 15. Calculate s(-9).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3840, -3862, -3886, -3912, -3940, -3970, -4002?\nAnswer: -4036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 5*q**2 - 5*q - 5. Let g(w) = 6*w**2 - 5*w - 6. Suppose 29*p + 40*p + 16 = 73*p. Determine p*r(y) - 3*g(y).\nAnswer: 2*y**2 - 5*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1 - (-1*4\/8 + 58\/(-108)). Let l(q) be the second derivative of 29*q + 0 - 11\/27*q**3 - 5\/9*q**2 - f*q**4. Factor l(x).\nAnswer: -2*(x + 5)*(2*x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -10*x - 92. Let c = -57 + 87. What is the remainder when c is divided by o(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*b - 5*a = 20*b - 73, 0 = -11*b + 14*b - 4*a + 29 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 168912, 337846, 506782, 675720, 844660, 1013602?\nAnswer: 1182546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -5*w - 66. Let b(r) = -2*r - 4*r - 17 - 6*r + 9*r + 7. What are the prime factors of b(w)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -3\/5, -1, 1\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 4\/9  (b) 0  (c) 5  (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 308966617 is divided by 323?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {i: 2, b: 3, x: 2, a: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -1.2+-127\nAnswer: -128.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -3*i + 1. Let l be m(2). Let s = -0.14 + 1.14. Let c be (-10)\/(-112) - 2\/(-7). What is the closest to s in c, l, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 881315932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1\/6 + 0. Let x = 47 - 48. Let c = -4 - x. What is the closest to 0.3 in -2\/19, c, m?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 414 or -252.51?\nAnswer: -252.51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.4 + -0.6. Let a = -53.9 + 54. Let m = -3\/2 - -47\/34. What is the closest to o in -0.3, m, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m - 4*p = 5, 21 = 3*m + 4*p - 14 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 20534 - -1133?\nAnswer: 22111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 169297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5 - -2897?\nAnswer: 289c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 131\/5 at most as big as -2\/428563?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -37*k**3 + 143*k**2 - 5580*k wrt k?\nAnswer: -222*k + 286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 55 - 39. What is the greatest common factor of n and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.47 greater than or equal to 196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-170)\/(-7) - (-20)\/(-70). Suppose 4*m + g - h = 3*g, 0 = 2*g + 8. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -66*p - 1. Let o be l(0). Let f = 16503\/4 - 4155. Let z = -29 - f. Which is the nearest to z?  (a) 0  (b) 0.07  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the second derivative of 2*i**5\/15 + i**4\/12 - i**3\/6 - i**2\/2 + i. Let k(r) be the first derivative of x(r). Suppose 15 - 14 = h. Determine k(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 247 = -2*v + 375, -1244 = -4*v - 5*o. Suppose -2*l - 108 = 592*r - 593*r + 3*l, -l - 6 = 0. Calculate the remainder when v is divided by r.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6 in 0.0341, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 3*c**2 + 6*c + 8. Let x be t(-6). Suppose -2*v + x = 3*v. Suppose 5*h + v = j, -j + 2*h - 3 = -4. Which is smaller: -8 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2767412 divided by 1383706.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 16711755\/302 - 55337. Find the common denominator of 83\/18 and q.\nAnswer: 2718","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 72527*r + 86. Is l(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.29 - -0.79. Let a(j) = j**3 - 7*j**2 + j - 8. Let l be a(7). Let t be (l\/4)\/(1\/6). Sort -5, t, f in decreasing order.\nAnswer: f, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-1570)\/(-20))\/(1 - 437\/436) + -1. Round y to the nearest 100.\nAnswer: -34200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**2 - 16*x + 3. Suppose 58*p + 20 = 56*p. Is 9 a factor of v(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 5 + -3 + (4 - 3). Let w(v) = v**2 - v + 1. Let u(h) = -h + 4. Let s be u(2). Let l be w(s). Solve -3*g = -0*q + 3*q - 15, -l = -3*g + r*q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is c in 2*c**4\/7 + 296*c**3\/7 + 4042*c**2\/7 + 988*c = 0?\nAnswer: -133, -13, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*s - 35516 = g + 2*s, 4*s = g + 35504. Round g to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**4 + 10*u**3 - 4*u**2 - 40*u + 48.\nAnswer: -2*(u - 3)*(u - 2)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1283203, -1282878, -1282335, -1281574, -1280595?\nAnswer: -1279398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j = -4*u + 45, -4*j = -5*u + 44 + 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 86.847201 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -2049*d**2 + 66*d - 177. Let v be x(3). Is 0 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1264\/585 + -48\/65. Let o = z + -2627\/360. What is the common denominator of 30\/11 and o?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -b (base 15) to base 3\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 32*b**2. Let k(u) = -1. Let d(l) = -2*l + 2. Let g(f) = d(f) + 2*k(f). Calculate g(i(t)).\nAnswer: -64*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 107239921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + -1 + sqrt(3) + 2 - ((sqrt(3) - (2 + sqrt(12)\/sqrt(4))) + 4)) + -3)**2.\nAnswer: -2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -57 - -57. Let f be -1*1 - (4 + -3). Let t = -3 - -4. Put t, f, z in decreasing order.\nAnswer: t, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -485186, -971395, -1457604?\nAnswer: -1943813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 3\/10 of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -536.995 to zero decimal places.\nAnswer: -537","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -8 + 1159?\nAnswer: 1151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 5*c**3 + 4*c**2 + 5*c + 3. Let n be w(4). Let x = 259 - n. Let f = x - -235. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 15533, 15458, 15373, 15278, 15173?\nAnswer: 15058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 740, 1477, 2212, 2945, 3676?\nAnswer: 4405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(170)*-6)\/(sqrt(90) - ((sqrt(90) - (-4*sqrt(90) - sqrt(90))) + sqrt(90)) - sqrt(90)).\nAnswer: -4*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 10483671 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 0*n - 32 = 3*n, 2*s - 12 = 5*n. Put s, -11, 2, -5 in decreasing order.\nAnswer: 2, s, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 76\/(-19)*(-2)\/(-32)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -126, 33, 20, 52 in ascending order.\nAnswer: -126, 20, 33, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 45 + -18. What is the remainder when q is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + -2 + (-1 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is u in 4*u**3\/9 + 340*u**2\/9 + 8000*u\/9 + 32000\/9 = 0?\nAnswer: -40, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 7, o: 3, j: 4}. Give prob of sequence jpp.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-2)\/4)\/1*0. Suppose 2*q = -3*r - 0*q + 37, r - 35 = 5*q. Let u be 48\/63 - 5\/r. Which is greater: y or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7 - -4. Let k(h) = -h**2 - 2 + 2*h**2 + h**2 + 0*h**2 - 3*h. Calculate the remainder when k(a) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the first derivative of -y**5\/60 + y**4\/12 + 3*y**3\/2 - 7*y**2\/2 + 2*y - 244. Let l(q) be the second derivative of x(q). What is l(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 162250 (base 7) to base 16.\nAnswer: 7d20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 15705, 31541, 47377, 63213?\n\"Answer: 15836*s - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 10 = -10. Suppose 15 = 3*y, 3*r + h*y = 32 - 7. Solve 0 = 2*c - 2 - r for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the second derivative of a**8\/672 - a**5\/60 + 2*a**4\/3 - 3*a. Let h(q) be the third derivative of n(q). What is the first derivative of h(c) wrt c?\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1063*i + 2144*i - 1083*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j = -5 + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, h: 1, j: 5, f: 1}. Give prob of picking 1 f, 1 j, and 1 b.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1137 + 1133. Which is the nearest to 0.2?  (a) -2  (b) -1\/2  (c) r  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-7320)\/1525*5\/1\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of j**5 - 8800*j**3 - 83*j**2 + 3374678*j wrt j?\nAnswer: 20*j**3 - 52800*j - 166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -134 smaller than -134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 16 - 10. Let v = -4992 + 4992.3. Put 2, 4\/3, q, v in increasing order.\nAnswer: v, 4\/3, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(3 + -1 + sqrt(432) + -5))**2.\nAnswer: -648*sqrt(3) + 3969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -7*h - 1 + 3*h + 5*h. Let t be y(1). Suppose t = 3*i - 0 - 6. Sort 1, 4, i in decreasing order.\nAnswer: 4, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -a4 + 2a72?\nAnswer: 2979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -94 - (56 - -104 - 110)?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**3. Let q(c) be the first derivative of -c**4 + 4*c**3\/3 - 2*c - 1160. Determine -3*d(y) - q(y).\nAnswer: y**3 - 4*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -335.535 - -0.535. Let w = 333 + g. What is the nearest to -1\/3 in -4, w, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -293*j - 11 + 289*j + 878*j + 908*j.\nAnswer: 1782*j - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000055293424 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ckxc when four letters picked without replacement from iicixcciiiiikii?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is u in 2*u**5\/3 + 100*u**4\/3 + 126*u**3 + 464*u**2\/3 + 184*u\/3 = 0?\nAnswer: -46, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 65722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -6*c**3 + 4. Let i be f(-3). Let q = i - 79. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -20?  (a) -0.41  (b) 2\/7  (c) 4  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.1, -2, 0.08?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1383 + 1367. Let x = -29.1 - -29. Which is the closest to x?  (a) 4  (b) t  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 3*j**2 - 5*j - 66. Let u(r) = -10*r. Calculate u(p(x)).\nAnswer: -30*x**2 + 50*x + 660","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a day in minutes?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 118 is divided by 697\/(-51)*(-3)\/1?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10273, -10350, -10471, -10630, -10821, -11038?\nAnswer: -11275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 3*n - 32 + 13 - 13 + n. Let r be d(7). Let q be 2\/21*r - (-14)\/(-49). Which is the second smallest value?  (a) 0.5  (b) 9\/2  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*f - f + 5*f - 4*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 3483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -7*o**2 - 8. Let r(g) = 6*g**2 + 8. Let f = 1764 - 1770. Determine f*r(c) - 5*a(c).\nAnswer: -c**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -43, -78, -113, -148, -183?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -4*a. Suppose -5*r - 4*k + 16 = -r, -4*r = 3*k - 16. Let c(m) = m - 4. Let i(x) = x - 5. Let o(f) = r*i(f) - 5*c(f). Give n(o(q)).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the third derivative of -w**8\/10080 + w**6\/360 - w**5\/30 - 11*w**2. Let o(u) be the third derivative of f(u). Give o(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -204, -354, -488, -600, -684, -734, -744?\nAnswer: -708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = 2*f + 46, 0*w + f - 40 = -2*w. Calculate the remainder when 135 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 65497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 3, -0.9, 2, -103?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.04 in -1, -0.4, 0.7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add 1 and 0.655866.\nAnswer: 1.655866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 105 is divided by -60*(5 + 1*(-44)\/8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/(-2) - 337\/(-2). Let q be ((-1246)\/(-49))\/(18\/189). Let c = q - t. Calculate the remainder when c is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 45472, 90946, 136420, 181894, 227368, 272842?\n\"Answer: 45474*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 716, 4839, 15806, 37061, 72048, 124211, 196994, 293841?\nAnswer: 418196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 620 minutes before 5:10 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) -37  (c) 2  (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 144417 to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3694 is divided by 522?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -3*x**2 + 178*x - 2647. Calculate w(29).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*((sqrt(150) + (sqrt(150) - sqrt(150)*-2))*-1 - 3*sqrt(150)*-1))\/((sqrt(2178) + 2*sqrt(2178))\/(-1*sqrt(54))))**2.\nAnswer: 50\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5 - 31 + g + g - 6 - 16*g**2 wrt g.\nAnswer: -32*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4.19 + 2.19. Which is the biggest value?  (a) -0.5  (b) y  (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 157662108 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 803 is divided by 167?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 24 in -7, 4, -3\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-13824)\/1944)\/((-4)\/18) + 18?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 222 (base 3) to base 16.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b**2\/3 - 131812*b\/3 + 263608\/3 = 0 for b.\nAnswer: 2, 32951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the second derivative of 280*a**4\/3 - 547*a**3\/6 - 146*a + 3. Find the second derivative of u(t) wrt t.\nAnswer: 2240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -109 + -9 - (-61 + -2)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 2*x**2 + 152*x - 1360. Determine g(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that 9*n**5\/5 + 697503*n**4\/5 - 53528361*n**3\/5 - 17920287*n**2\/5 = 0.\nAnswer: -77577, -1\/3, 0, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (-6 + 2 - (17 - 19))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39700490 is divided by 709.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 73 divide 1315679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((176\/66)\/(8\/6))\/((-70)\/595).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -26 + 19 + 9 + 35\/5 + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/(1*(-2)\/6). Suppose -x*b - 2*b + 200 = 0. Suppose 3*g + 3*a = -2*g + 32, 5*g - 5*a = b. What is the lowest common multiple of 7 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*r**2 - 2*r + 3*r + 18*r**2 - 10*r**2 - 3*r**3 in the form b*r**2 + m*r**3 + q + z*r and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f + j - 9, 2 = 4*f + j + 9. Let s = 827\/5070 - 32\/507. Is f < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(-5*sqrt(192) + sqrt(192))*-1*3*6)**2.\nAnswer: 3981312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -20*r**3 - 3*r + 11*r**3 - r + 8 + 11*r**3 - 5*r**2 - 11 to m*r + h + p*r**2 + c*r**3 and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.19844 + -2086.86156. Let m = 2112 + l. Let r = 25 - m. Is 1 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 10320049?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from hxxhhiihihhxivhmh.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*w + 2*w = 24. Let t = w + 2. Put t, 4, -4 in increasing order.\nAnswer: -4, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1949602 and 514?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -37 + 36.988. Let d = t + -19.988. Let v = d - -19.94. What is v rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 167232 and 45760.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*w**2 - 5*w**2 - 2*w**2)*(4*w + w**3 - 4*w) + (0*w**2 + w**2 + 5*w**2)*(-2*w**3 + w**3 - 2*w**3).\nAnswer: -20*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -36984018\nAnswer: 2\/18492009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the third derivative of -o**5\/12 + 25*o**4\/12 + 55*o**3\/6 + 174*o**2. Factor a(m).\nAnswer: -5*(m - 11)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58361647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -109 + 236. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*d - 48*d = 400. Calculate the greatest common factor of 1520 and d.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 141043 - -42051?\nAnswer: 223134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1 + 12420112132?\nAnswer: 12420112133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 483 is divided by 78.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 470*o**3 + 11*o**2 - 17*o - 43. Is k(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/(-10) - 18\/(-15). Suppose 3*i + n = -c + i, 5*i = 4*c + 4. List the prime factors of c - -2 - (-20 + -5).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the second derivative of 7*g**5\/10 - 12*g**2 - 9*g. Differentiate n(l) with respect to l.\nAnswer: 42*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lwx when three letters picked without replacement from iiilxliwllil.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -195 * -0.4\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((sqrt(7) - 3*-2*sqrt(7))**2*-2 - (sqrt(14)\/(sqrt(2)*1*3))**2).\nAnswer: -12362\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 18 - 15. Solve -q*o + 6 = -3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 314*a - 84. List the prime factors of z(3).\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10 and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 37655875039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = 22*s - 21*s - 2, -3*l = s - 10. Which is the closest to 0.1?  (a) 0  (b) -2\/77  (c) 1\/2  (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g - 31 + 11. Suppose n - 3*n + s = -69, -5*s = g*n - 210. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 125*c - 387. Let u be y(2). Which is smaller: u or -122?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 373\/55 + 10\/(-55) + (-8)\/(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -159*y**2 + 1. Calculate s(1).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -f (base 16) to base 2.\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -137*m + 822. Let q be r(6). Solve q = -10*w + 69 - 19 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.26 and -34.\nAnswer: -33.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0.053 * 0.91\nAnswer: 0.04823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i**2 - 7*i + 1. Let m be g(-7). Solve 19 + m = 5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 36\/(-60)*(-10)\/6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8 in 3, 2\/7, -1.10341?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3 - 0. Let n be 2\/8 + j\/(-12). Suppose n = 4*g - 9*g + 105. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-12)\/14)\/((-15)\/140). Solve 0 = 2*k + 5*d - 2*d, 0 = -4*d - j for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 11 + -17. Which is the second smallest value?  (a) -1\/4  (b) 2  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 454430 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111 - 1100?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*p = -132 - 36 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3159 and 5256?\nAnswer: 1844856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1334.01 kilometers to centimeters.\nAnswer: 133401000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*o + 3*k - 19, -3*o + k - 3*k + 21 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 7*r + 92. Let j be f(28). Calculate the greatest common factor of j and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 3*q - 22. Let b be l(7). Let u(o) = -o + 1. Let s(f) = 8*f - 3. Determine b*s(y) - 4*u(y).\nAnswer: -4*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**3 + s**2 - 2. Let i be n(0). Let h = -17\/22 + 3\/11. What is the closest to h in i, -0.7, -3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -920240, -920248, -920256, -920264?\n\"Answer: -8*j - 920232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4944 and 288?\nAnswer: 29664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01420204 to four dps.\nAnswer: -0.0142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*n + 7 - 27 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -15 - -15. Suppose d = 2*v + 3*v + 25, -19 = -2*f - v. Calculate the remainder when 59 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-18 + 49 + 15)*(2*d - 28*d - 31*d) to s*d + y and give s.\nAnswer: -2622","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/30*3*10\/(-6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = 4*a - 131, 0*g = -3*g + 15. Suppose 16*f + k = 12*f + 43, -f + 3*k = -1. What is the remainder when a is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18098 = g - i, 5*i + 8 + 7 = 0. Let q = 30252 + g. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -438482?\nAnswer: -438482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = g + 37. Sort g, 3, -6 in increasing order.\nAnswer: g, -6, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -7*y**3 - y**2 + 3*y + 2. Let t be f(-2). Suppose -3*r = -l - l - t, l - 48 = -3*r. Which is the third smallest value?  (a) 2  (b) -5  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 2, w: 18}. What is prob of picking 3 w?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that 3*k**4\/5 + 441288*k**3\/5 + 16239394344*k**2\/5 + 843553784736*k\/5 + 10962322533552\/5 = 0.\nAnswer: -73522, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -9585 or -11\/136?\nAnswer: -11\/136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1072396*d + 1072354*d + 630 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -10 - 3*r**3 + 4*r**3 - 7*r**2 + 7*r - 2*r**3. Let u be p(-8). Calculate the smallest common multiple of 14 and u\/4*(-24 - 0).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/30)\/(3\/45) - 183\/(-30).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1914*u - 7*u**5 + 155*u**5 + 3 + 1939*u wrt u?\nAnswer: 2960*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -132 = 27*b - 375 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.03 - 2.03. Let x = -10.7 + 7.7. Which is the biggest value?  (a) x  (b) 1  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3675 divided by -3?\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7947 + 7812. What is the fourth biggest value in 2, -4\/5, s, 1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 2*t**2 + 256*t + 1464. Calculate m(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -3*w**2 - 4*w - 7. Let r(v) = 4*v**2 + 6*v + 10. What is -7*b(q) - 5*r(q)?\nAnswer: q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 28\/2 - 7 - 14 - 10\/(18\/(-9))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c**2 + 9*c - 6. Determine p(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2*((-6)\/4 - 0). Let b be 164\/123*15\/4. Sort -4, f, b, -5.\nAnswer: -5, -4, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t**2 - 71*t - 3. Let v be l(-10). Let b = v + -3641\/6. Sort 2\/35, b, 0.5 in increasing order.\nAnswer: 2\/35, b, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8989587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 33 - ((-66560)\/(-12))\/128\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 18, f: 1}.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -1. Let i(v) = 18*v - 2. Let s(y) = i(y) - 3*m(y). Let z be s(2). Let u = z - -94. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 - -1. Suppose g + 14 = 4*i - i, -5*g + 5*i - 120 = u. Let q = 69 + g. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 808 divide 2169588272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 125272932 is divided by 4349.\nAnswer: 4336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 7*p**3 - 485*p**2 + 137*p + 106. Let g be j(69). Solve -g = -3*b - 19 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -2*y**2 - 8298*y + 242269. What is m(29)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the third derivative of p**6\/180 - 3*p**5\/10 + 17*p**4\/12 - 25*p**3\/9 - 4*p**2 + 36*p. Factor r(x).\nAnswer: 2*(x - 25)*(x - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o - 4*q + 7 = 21, 3*q + 25 = -5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -27*o**2 - 52293*o + 11622.\nAnswer: -3*(o + 1937)*(9*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -72279832\/11 less than or equal to -6570893?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/2*26\/117. Let t = -47.5 - -47. What is the third smallest value in 1, t, s, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -369 * 90.\nAnswer: -33210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 265124*d. Let h(f) = f**2 - 111*f. Give j(h(c)).\nAnswer: 265124*c**2 - 29428764*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 10 = -s. Suppose -s*d + 3*z - 4 = z, 2*d - 21 = -3*z. Solve -3*q - 4*t - 5 = 0, 3 + d = -3*t for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 345338\/5, 1, 3\/8 in increasing order.\nAnswer: 3\/8, 1, 345338\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lqtltttttlltt. Give prob of picking 4 l.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -13*c**2*i**2 - 16*c**2 + 831*i**2 wrt c.\nAnswer: -26*c*i**2 - 32*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14404 - -14428.066. Let t = p - 24. Round t to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -161, -329, -513, -719, -953, -1221, -1529?\nAnswer: -1883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 936811 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v - 3 = -q, -2*q - 6*v = -10*v + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/660 and 65\/21912.\nAnswer: 109560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7 + 3 - 1225*m**4 + 1213*m**4 + (2 + 3*m**3 - 2)*(-1 + 1 - m) - 3 + 3 + 2*m**4 to the form q*m**2 + t + x*m**4 + j*m + r*m**3 and give x.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 43681 and 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 119061 is divided by 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -368*b*g**2*j**2 - 2*b*g**2*j + 37*b*j**3 + 71*b*j + 136*g*j wrt j.\nAnswer: -736*b*g**2 + 222*b*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.42 - -0.3296204.\nAnswer: 0.7496204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (17*(-66)\/290598)\/((-1)\/(-14)).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1202*i - 164*i - 17856 = -250*i for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/((-4)\/22)*1. Let k = 21 + -13. Let t(u) = -4 - 3*u + 2 + k*u**3 + 5 - 22*u**3. Let y(f) = 5*f**3 + f - 1. Determine n*y(g) + 4*t(g).\nAnswer: -g**3 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 729, 1333, 1949, 2583, 3241, 3929, 4653?\nAnswer: 5419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -2*o + 15. Let q be k(5). Solve -m + q*m = 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2291 rounded to two dps?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -198 - -321. Let d = 29 + h. Suppose -3*a = a - d. Is a a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11233 is divided by 808?\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.16 + -0.13. Let c = s - -0.290074. What is c rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 + 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 39.4 + -45. Let q = -0.6 - y. What is the second smallest value in 0.1, q, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 5472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-75)\/9 + (-5 - -7) + 6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**3 - i**2 - i. What is the units digit of s(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from pppppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 203 - 26. Let a(k) = i*k + 171*k + 185*k - 518*k. Let z(x) = -6*x. Determine z(a(m)).\nAnswer: -90*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k + 5*x + 1 - 0, -4*k + 2*x - 10 = 0. Let m be (-202)\/(-3)*(-42)\/(-56). Let v = -53 + m. Which is the biggest value?  (a) k  (b) 0.16  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 6\/11, -2, 3, 0.175?\nAnswer: 0.175","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1 + (-36)\/24)*(2 - 4). Which is the smallest value?  (a) 1  (b) -0.01  (c) -1\/6  (d) u  (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 24*b**2*t**2 + 2*b**2*t + 2*b*t + 77058415*b - 18811853*t**5 wrt t.\nAnswer: 48*b**2 - 376237060*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 30246 * -4.\nAnswer: -120984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 188 and 211108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -232002223 + -33?\nAnswer: -232002322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:50 AM and 7:38 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -x**3\/2 - 433*x**2\/2 + 2956*x + 25422 = 0?\nAnswer: -446, -6, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 3, h: 4, c: 1, d: 2}. Give prob of picking 2 d and 1 c.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 278 a factor of 3360742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 468186659.\nAnswer: 379, 1235321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 2475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -9.1 - -3.94. Let m = -5.15999613 - b. Round m to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2.8 + 2.4. Which is the closest to -1?  (a) i  (b) 2  (c) -169  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -24066300 (base 7) to base 13\nAnswer: -5995c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2875, -2940, -3005?\nAnswer: -3070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3490 - 3490 + 113*f to w*f + x and give w.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 23156\/126 - (-4)\/18. Let s = o + -182. Solve 33 = -0*j - 4*j + 5*b, -s*j - 2*b + 6 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 2\/1247 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*h + 592 + 848 = 0. Solve h*c = 20*c - 32 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3385 * -55890.\nAnswer: -189187650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*-1*(-8)\/(-24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -20032609*v**2*y - 1844*v + 20480*y wrt v.\nAnswer: -40065218*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -715 divided by -6?\nAnswer: 715\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 83742454 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 152775826 to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4078636 divided by 1019659.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (5 - 7)*(1 - 2). Solve 4*u + 11 = -v, 5*u - 2*u - y*v = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(100) - -2*sqrt(100))\/(-6*sqrt(8)) + (sqrt(32) - (1*sqrt(32) + sqrt(32)) - (0 + sqrt(18)))**2 + 4.\nAnswer: -5*sqrt(2)\/4 + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sww when three letters picked without replacement from {w: 4, s: 10}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -611  (b) 3  (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 567.49 rounded to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2631688.\nAnswer: 2, 328961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 980716727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6224919 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 85090?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the second derivative of 143 - 2\/9*b**3 + 1\/60*b**5 - 1\/3*b**2 - b + 1\/180*b**6 - 1\/24*b**4. Factor o(j).\nAnswer: (j - 2)*(j + 1)**2*(j + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 538*c + 44*c**5 + 15*c**5 - 505*c wrt c.\nAnswer: 1180*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 895.3978m in nanometers?\nAnswer: 895397800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 719*j + 422*j - 10752 - 45157 = 0 for j.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the second derivative of 17*s**5\/4 + s**4\/4 - 2*s**3\/3 + 15*s - 3. Find the third derivative of k(f) wrt f.\nAnswer: 510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1 - -3 - -1 - 2. Let d be ((-5)\/15)\/(1\/(-12)). Solve -9 - y = -d*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 20 = q, -5*q = 3*m + 2*m - 10. Suppose 48 = q*p - 2*f - 34, 0 = -2*p + 3*f + 35. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g + 4*s = 24, 34 = -5*g + s + 10 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-3)*(3816\/2064)\/53.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 4392317, 4392316, 4392315?\n\"Answer: -t + 4392318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1*4\/(-6)*-33. Let a = k + 50. Suppose -n = -2*n + a. What is the greatest common divisor of 14 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/4?  (a) 3\/5  (b) 0.1  (c) -1\/4  (d) 2\/17  (e) -150\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 210161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 198\/(-45) - (-4)\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2211408 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -p**3 + 2*p**2 + 9*p + 2. Let j be y(4). Suppose 0 = j*h - h - 50. Solve n + 5*b - h = b, -n = 5*b - 13 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 39812 and 89846?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80 - 20 = 5*w. Let z(l) = l - 12. Determine z(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 989 - 988.99162. Let x = q + -0.007. Round x to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 2, v: 3, b: 6, w: 2, f: 5}. Give prob of sequence vwxx.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8 + -13. Let l = z + 1. Let d(f) = -1 - 2*f - 13*f**2 + 4*f**3 + f**3 - 4*f**3 + 17*f**2. Calculate d(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -152 + 152.99. Let g = 0.05 - 0.06. Let l = q - g. Which is the nearest to l?  (a) 0  (b) -0.4  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -132786488 divided by 239.\nAnswer: -555592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5838 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/1206476 or 0.3?\nAnswer: 3\/1206476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o - 8*x + 42 = 0, -2045 = 5*o - 4*x - 2020 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) 10  (b) -0.3  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0, 1\/2, 0.4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(19) + sqrt(76)) - sqrt(228)\/sqrt(3))**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -16762, -1, -2, 2\/3, -4\/7, -2\/9, -0.1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 4, l: 2, p: 1}. Give prob of sequence xl.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 825  (b) 1846  (c) 0  (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 29*d**3*x*z**2 + 4*d**3*x - d**2*x*z**2 - 2*d**2*x*z - d*x*z**2 - x + 3*z wrt z?\nAnswer: 58*d**3*x - 2*d**2*x - 2*d*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 - 10000222012022?\nAnswer: -10000222012022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -39\/11 and ((-26)\/(-4))\/((-8)\/(-6)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*p + 190 + 29 + 8*p**2 + 12*p**2 - 30*p**2 + 9*p**2.\nAnswer: -p**2 - 5*p + 219","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(-2)*(-10)\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the third derivative of 19*h**4\/24 - 7*h**3\/6 - 4*h**2. Let z be x(5). What is the greatest common factor of 22 and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the second derivative of n**3\/3 - 9*n**2\/2 + n. Let a be q(6). Calculate the remainder when 1 is divided by ((-9)\/a)\/(3\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-282)\/470*5\/18*10\/2\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -111?  (a) 0.5  (b) -3\/2  (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is (-18324790)\/(-990) + (-8)\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 29 + -22. Suppose 0*c + f = 5*c - 26, 0 = -c + 2*f + w. Suppose -5*m - c*i - 21 = -91, 4*i = 4*m - 48. Solve -4*z + 7 + m = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 - 2 = -10*d. Factor -4\/9 + 2\/9*y + 32\/9*y**2 - 14\/9*y**5 + 52\/9*y**4 - 68\/9*y**d.\nAnswer: -2*(y - 1)**4*(7*y + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**3 - 7*w**2 - 5*w - 8. Let i be p(-6). Let h be (i\/6)\/7*-18. Differentiate -12*n**4 + 10*n**3 - 10*n**3 - h with respect to n.\nAnswer: -48*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 103217?\nAnswer: 103217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 5 - (5 + 20 + -12).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:01 PM and 12:53 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/31 in 0.4, -1\/4, -4\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 - 3*m + 3 + 34 + 9*m - 34 + (4*m + 0*m - 3*m)*(-1 - 1 + 4) + 2*m + 0*m - 3*m + 2*m - m - 3*m + (-5 + 4 - 2)*(0*m - 4*m + 5*m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-34 + 73 + 20)*(7 + 5 + 0)*(-3*v**2 + 2*v**2 - v**2).\nAnswer: -1416*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7909226 and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 469 and 11591.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - 7 - (0 + -8) - 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.10391054662 rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the first derivative of -k**5\/30 - 9*k**2\/2 - 5. Let t(x) be the second derivative of g(x). Let i(z) = -17*z. Calculate t(i(b)).\nAnswer: -578*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -6707a (base 14) to base 11\nAnswer: -160762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 62 a factor of 7564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 22114667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-57 - (-37 - -6)) + (-1 - (-6 - 1)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -126*t = -136*t - 70 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (14*o - 14*o + 15*o**3)*(-3 + 9 + 10) + 8*o**3 - o**3 - o**3 to the form y + v*o**2 + t*o + c*o**3 and give c.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the third derivative of y**5\/120 + y**4\/12 + y**3\/2 - 3*y**2. Let z(m) be the first derivative of w(m). Let l be z(0). Solve 0 = -l*i - 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 368473900.\nAnswer: 2, 5, 97, 37987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6292 = -9*o - 1711. Suppose -3*f - o = -2168. What are the prime factors of f?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -8 + 4. Suppose -3*g = g + h. Let n = 21 - 9. Which is smaller: g or n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 3\/8  (b) -1  (c) -68\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 50110 is divided by 72?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 40146933 to the power of 1\/2, to the nearest integer?\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 649*g**3*o*q**3 + 12*g**3*q**2 + g**2*o**3*q**2 - 6133*g**2*q**2 + 10331*o**3*q**3 - 5*o**3*q wrt q?\nAnswer: 3894*g**3*o + 61986*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -3*(-1)\/(-6)*-4. Suppose 2*p - 30 = 4*y - y, -3*y = 3*p - 15. Calculate the remainder when 18 + t*2\/(-4) is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/223239 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-3 + -5*-5*6*sqrt(32)) + -5)**2.\nAnswer: -26400*sqrt(2) + 2880121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 146494459 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 240 + 4*p - 236 - 5*p. Determine f(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 325*c**2 + 2*c**3 - 325*c**2 - 77.\nAnswer: 2*c**3 - 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from olllloyollyyoolllly. Give prob of picking 1 o and 1 l.\nAnswer: 50\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 2  (c) -0.05  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vav when three letters picked without replacement from aasvaavs?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -7*k**3 - k**2 + 2*k - 1. Let n(y) = 5*y**3 + y**2 + 343*y + 7. Calculate -j(g) - n(g).\nAnswer: 2*g**3 - 345*g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the third derivative of 0*i**3 + 0 + 10*i**2 + 0*i**4 + 1\/12*i**5 + 0*i. Let w(u) = 3*u. Calculate x(w(o)).\nAnswer: 45*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 189053 and 868344.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 6821*o - 13633. Give m(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g**3 + 20*g**2 + 16*g - 143. What is the lowest common multiple of 837 and y(-18)?\nAnswer: 5859","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 100401 (base 8) to base 5\nAnswer: 2024100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -76\/5 - -15. Let v = -4897.4 - -4897. Let i = 1 - -1. Which is the closest to 3?  (a) v  (b) g  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:40 AM and 10:18 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (3\/(-2) + 1)\/(2\/(-264)). Let u = 73 - y. Solve -3*t + 8 = -u*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-561)\/27)\/(-11) + 10\/(-6). Sort -11, 6, y in decreasing order.\nAnswer: 6, y, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(21)\/(sqrt(12) + sqrt(3) + sqrt(3)) - sqrt(7))**2 + 1 + -4 + 2 + sqrt(7)*1.\nAnswer: sqrt(7) + 47\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 4*y + 9 = 3, 5*y = 3*q + 42. Let o = q - -15. Let d be 720\/96*(-8)\/(-10). What is the highest common divisor of d and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 935 and 680.\nAnswer: 7480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 8931\/(-104) - (197 - 284)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 76.56508 nanometers to millimeters.\nAnswer: 0.00007656508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*g - 4*g + 3*g)*(-4*g + g + g)*((1 - 2 - 1)*(0*g**2 - g**2 - g**2) + 9*g**2 - 5*g + 5*g) to t*g + z*g**3 + o*g**2 + b*g**4 + l and give b.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 75141 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 29\/(-3 - (-7)\/2) + -2. What is the highest common factor of k and 688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3.194 + 0.144. Let g = p - -0.05. Let w = 3 - 0. What is the closest to -1 in g, w, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that -11*s**3\/2 - 1060029*s**2\/2 + 770939*s\/2 + 289101\/2 = 0.\nAnswer: -96367, -3\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 5*n - 14. Let s = -11557 - -11556. Let q(o) = -o + 1. Give s*g(f) - 6*q(f).\nAnswer: f + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7448041 milliseconds in seconds?\nAnswer: 0.0007448041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 86*k - 3597916 = -199*k + 7053104. Is 45 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 20366951.46999961 + -20366950.6. Let a = q - 0.87. Round a to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -45 + 6. Let x = -21 - n. Let o = 4 - -10. Calculate the lowest common multiple of o and x.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64*p + 60*p - 20 = -4*c, -20 = 4*p + 3*c for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*u**2 + 11*u**2 + 11*u**2 - 21*u**2 + 380 - 382.\nAnswer: 7*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a decade in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -675, -621, -637, -759, -1023, -1465, -2121?\n\"Answer: -6*m**3 + m**2 + 93*m - 763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 643?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -35\/8 or -5?\nAnswer: -35\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.3 at least -171751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - m - 3)*(18 - 212 + 11 - 157 - 3) to the form i*m + o and give i.\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -58, 48, 224, 470, 786, 1172, 1628?\n\"Answer: 35*u**2 + u - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*v + 32 = 17 - 27 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 2 q when three letters picked without replacement from {t: 6, m: 1, g: 4, q: 3, e: 3, f: 1}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 1, 71, 26462 in descending order.\nAnswer: 26462, 71, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**3\/w*w*w)\/(w*(w*w**(-2)*w)\/w))\/(w\/(w**(2\/5)\/w))**(4\/19)*w**(1\/12)\/(w*w\/((w\/(w**(1\/6)\/w))\/w))*w**(-1\/6)\/w**(-6) assuming w is positive.\nAnswer: w**(3577\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - (-2 - (4 + -8 + 5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18\/4 - (570\/1220 + (-70)\/(-2135)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1072608.3 milliseconds?\nAnswer: 17.876805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is eight thirds of a millennium in months?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -117 - -116.999618. What is q rounded to five decimal places?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1495 divided by -299.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 4*b + 3. Let l be q(0). Suppose l*n - 118 = -58. Solve 4*g - n = 3*z - 2*z, -2*g - 2*z = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 42056340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**2 - 8*s - 6. Let z(q) = -q + 8. Suppose -6*i + 98 = 20. Let a be z(i). What is o(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 436591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.1 - -5.1. Let n = -3633 + 3632.8. Let d = 8 + -8.4. What is the nearest to d in -1, n, j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 481671*y + 481671*y - 2*y**2 - 2*y**2 + 3*y**2 + 2*y**2.\nAnswer: y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**2 + 1. Let s be (1*(-6)\/9)\/((-10)\/(-15)). Let i(n) = 3*n**2 + 4. Determine s*i(q) + 4*l(q).\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -139 + 4. Let p be 2 - o\/((20\/(-36))\/(-5)). Let n = 2352 - p. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -158*w + 70*w + 3967568 = 0. List the prime factors of w.\nAnswer: 2, 22543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eekwd. Give prob of sequence kd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -t - 4*t + 12, -t + 2*k = -1. Suppose -r = -3*n - 459, -t*r + 1352 = 27*n - 31*n. What is the remainder when r is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the second derivative of i**4\/12 - i**3\/6 - 3*i**2 + i. Let r(l) = -l**2 + 8*l - 7. Let o be r(6). Is c(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -131336 + 13?\nAnswer: -131323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (1 - 0\/1)*(0 + 106).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 406 - 46. Suppose 0 = -3*l + 2*m + 194, -5*l = 4*m - 0*m - j. List the prime factors of l.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Add 26162 and -26741621259.\nAnswer: -26741595097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -101*a*f**2 + 2210*a*f + 5*a - 47207*f**2 + 33*f wrt a?\nAnswer: -101*f**2 + 2210*f + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**3 - y**2 - 9*y - 3. What is b(-4)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -142 - 7*j + 24 + 0*j + 28 + 3*j + 86.\nAnswer: -4*j - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33\/4*p - 105\/4*p**2 - 3\/4 + 75\/4*p**3 = 0.\nAnswer: 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -474 - -432.9. Let w = 41 + g. Which is the smallest value?  (a) -1\/3  (b) 0.2  (c) w  (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1120 is divided by 354?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1514494 is divided by 757242.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 254030, 254010, 253990, 253970?\n\"Answer: -20*w + 254050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 2 = z. Sort z, -1.1, 1 in increasing order.\nAnswer: -1.1, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 3098, 3097, 3096?\n\"Answer: -z + 3099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 9*i**3 + 3*i**2 + 2*i - 4. Let m be r(1). Solve -3*h + 3*w - 12 = 0, -m = 3*h - 5*w + 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-641)\/((19\/(-57))\/((-6)\/(-9))). Let y = -1276 + o. Let g be (-3)\/(0 + -2 + 1). What is the highest common factor of y and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*w + 4*w = -5. Solve -5*c + 7 = -r + w, c = 3*r - 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62*l = 91*l - 94888. List the prime factors of l.\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 3*w**2 + 16*w. Let t = 5 - 3. Let y(n) = -n**2 - 5*n + 2. Let p(g) = g**2 + 5*g - 3. Let m(z) = -2*p(z) - 3*y(z). Determine t*d(x) - 7*m(x).\nAnswer: -x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.05 and -0.034?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -4*a**2 + 2*a - 1. Suppose 38*p - 52 = 25*p. Give y(p).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + 6*(sqrt(1872) - (sqrt(1872) + -2)) + sqrt(1872) + (1*sqrt(1872) + 2 - (sqrt(1872) + -2 + sqrt(1872) + -1 + sqrt(1872) + sqrt(1872))))**2.\nAnswer: -1056*sqrt(13) + 7972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in b - 4*b + 56*b**2 + 3*b - 12*b**2.\nAnswer: 44*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 435421910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sum 2308 and -2.\nAnswer: 2306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d + 8. Let u be b(6). Suppose -4*f - 6 = -l + 14, -5*l - 3*f = -8. Suppose 3*s = u*q - 2*s - 3, 24 = 5*q + l*s. Put q, 2, -2, 1 in increasing order.\nAnswer: -2, 1, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 14) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 93, 87, 59, -3, -111, -277, -513, -831?\n\"Answer: -2*x**3 + x**2 + 5*x + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 53*d = -25 - 664 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 6 + 712?\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + (-1 - (0 + -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -62404 - -62403.6. Suppose 3*q - 5*q = -12. Let o = -10 + q. What is the biggest value in -0.16, o, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 703574 to the power of 1\/2, to the nearest integer?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 3\/5 of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 8*l**2 + 1 - 6*l**2 - 3*l**2 - l. Give g(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v - 2 + 1837*v**2 - 1653*v**2 - 2*v. Let f be s(2). Let l = -341 + f. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 1, 3, 0, -5 in descending order.\nAnswer: 3, 2, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**2\/3 + 158608*g.\nAnswer: 2*g*(g + 237912)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -44 + ((-24178)\/(-22451))\/(4\/247)\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2569416 and 4054062?\nAnswer: 4254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*z + 5*z - 1 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 3*b - q - 71, 2*q - 116 = -5*b. Calculate the remainder when 38 is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 + 17 = 5*v. Calculate the greatest common divisor of 16 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*z + 22*z - 3655 = -24*z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of (146*(-11)\/121)\/(484\/2662)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.17202540646 rounded to 6 decimal places?\nAnswer: 0.172025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12 - -51. Suppose -22*c - 1046 = -1442. Calculate the remainder when v is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.77 and 832432075.\nAnswer: 832432075.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f - 17. Calculate g(-12).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -498*n + 35 - 1 - 9 - 10 - 13 + 46*n.\nAnswer: -452*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0038828 rounded to five dps?\nAnswer: 0.00388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-15)\/(-25)*-4*5\/(-2). Find the third derivative of -22*s**6 - 12*s**w + 12*s**6 + 7*s**2 wrt s.\nAnswer: -2640*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1411 a factor of 5797799?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1 - 0. Suppose -v + 10 = p. Let j = 4 + 3. Calculate the smallest common multiple of p and j.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2928881.77 + 17522\nAnswer: -2911359.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 150 divide 493859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = 8, b + b + 472 = 4*t. Let c = -139 + t. What is the remainder when 67 is divided by c*(-2 + 15\/10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes after 11:59 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -3437 - 33099\nAnswer: -36536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -125 = -10*g + 75. What is the highest common factor of g and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9450147.\nAnswer: 3, 7, 17, 103, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*x**3 - 515*x**2 + 13000*x + 13520.\nAnswer: 5*(x - 52)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 170 = 4*o + 373, -3*u = -3*o - 324. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from oooooooooolloooolooo?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 2*q. Let t(a) = -a**2 - 4. What is t(w(i))?\nAnswer: -4*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 397*p + 739 = 4346 + 9478 + 2795 for p.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -14 divided by 3810337\nAnswer: -14\/3810337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 11111022000010 (base 3) to base 4\nAnswer: 21012320112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 45147 by -149.\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24451455.\nAnswer: 3, 5, 7, 232871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u + 2. Calculate the least common multiple of s(1) and 1\/4 - (-2 - (-162)\/(-24)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -132*17\/340 - -7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 218374479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 24799334?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 52 - 52. Suppose l = -4*p + 2*r + 622, -3*r - 310 = -5*p + 468. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/(-14)*252\/792.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2 + 50?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/33 and -38\/14871?\nAnswer: 163581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*p**3 + 5500*p**2 - 644185*p + 1882920.\nAnswer: 5*(p - 104)*(p - 3)*(p + 1207)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sb when two letters picked without replacement from {b: 2, w: 1, s: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -163, -165, -177, -205, -255?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + (-3 - (2 - 2)) - 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wb when two letters picked without replacement from {b: 12, w: 2, f: 1, s: 4}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -91 + 278. Suppose 0 = 3*i + 5*l + g + 179, 0 = -3*l - 9. Let u = i + 135. Solve -3*b - 2*j + u = -0*b, b + j = 7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**3 + v**2 - 8. Let r be d(3). Calculate the greatest common factor of r and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ew when two letters picked without replacement from {n: 1, p: 1, e: 1, w: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 1 = 9\/198097232?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**2 + j - 2. Let k(t) = 2*t**2 - t + 3. Let v(b) = 3*i(b) + 2*k(b). Calculate v(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -3*k + 9 + 116, 2*k - 92 = 3*s. Solve k*x = 28*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -37.41279  (b) -7  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**2 - 4*y + 7. Let h be r(-5). Suppose 5*k + t + h = 42, -2*t = 3*k - 31. Let j = 5 - 5. Solve j = 3*i + k + 8 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 124 and -387487722229.\nAnswer: -387487722105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3\/7, -4, -5, -9?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -614 = 232*u - 150. Do u and -105.5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32 - (-76 + (-8 - -37)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 2*p - 10. Let x be d(8). Let u(m) = -m**2 + 8*m - 13. Let l be u(x). Is (l + 2)*2\/2 - -264 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 37854, 0, -3 in increasing order.\nAnswer: -3, 0, 37854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.1 or 3\/7373?\nAnswer: 3\/7373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 40\/(-16)*4\/(-10). Let c be (-5)\/(0 + -2 + w). Suppose -f = c*r - 41 - 19, -f - 4*r + 55 = 0. 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: Express 2*j - 20*j - j**2 - 13*j in the form u*j**2 + a*j + o and give a.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 31*o - 27*o - 160. Let s = o + -27. What is the first derivative of -4*l**3 + 4 + 4*l**3 + s*l**4 wrt l?\nAnswer: 52*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 2*j - 2, -5*z - 2 = j - 3. Which is greater: -9\/7 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1861\/4 bigger than 465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -2230121 (base 6) to base 4\nAnswer: -123202201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -330554.6 rounded to the nearest one hundred?\nAnswer: -330600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does -30 = -0.07363616?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 2*m**5 + 8*m**3 - 6*m**2 - 10*m + 6. Let w(x) = x**5 - x**2 - x + 1. Let c(n) = h(n) - 6*w(n). Factor c(t).\nAnswer: -4*t*(t - 1)**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-15)\/(-25))\/((-1)\/(-145)) is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*g**4 - 4 - g**2 - 705*g + 3 + 707*g as f + r*g**3 + z*g**4 + d*g**2 + h*g and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: ((-200)\/(-8400))\/((-17)\/204)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2*c**2 + 3)*(4*c**3 - 5*c**2 + 5*c**2) + 1319*c - 1319*c + 33*c**5 + (-4*c + 2*c + c)*(c**4 + 2*c - 2*c).\nAnswer: 40*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x**3 - 3*x**2 - 2. Let q be ((-12)\/14)\/(3\/21*1). Let s be q - (-4 + 0 - (1 - 1)). Give m(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*v - v + 0*v - 5 + 9*v + 5 + (-4 - 2 + 5)*(-2*v - 6*v + 3*v) - 5 + v + 5 in the form i*v + x and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1775460*d*l - 66*d - 2*l**2 + 92193 wrt l.\nAnswer: 1775460*d - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbxbbbxbxbxbc. Give prob of picking 1 c and 2 b.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4791 is divided by 209?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*c - 3*c**2 - c**4 - 1 + 5*c - 10*c + 3*c + 40*c**3 to the form u + y*c + r*c**2 + q*c**4 + d*c**3 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -264 + 132 + 38*m**2 + 129 to k + p*m + q*m**2 and give q.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -86 + 43*z + 86 in the form d + s*z and give s.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2\/4)\/(2\/12). Let q = 25 - 40. Let i = q + 11. What is the smallest value in u, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 12 = w. Suppose a - 168 = 5*a. Let l be ((-36)\/a)\/(-1 + -1). What is the smallest value in w, l, -2\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.49 times 1406860?\nAnswer: 2096221.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2 + 8\/6)\/(12\/(-11430)). Suppose a*f = 627*f + 312. What is the remainder when 190 is divided by f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-45)\/(-5))\/((-27)\/9))\/(15\/(-15))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Factor 16 - 32*p + 2*p**3 + 24*p**2 - 10*p**3 + 0*p**3 + p**4.\nAnswer: (p - 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 29\/54 and -62\/81?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 - -3. Suppose -w*x + 1707 = 3*g, -1369 = -5*x + x + g. List the prime factors of x.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 55\/8312772 and -38\/3?\nAnswer: 8312772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*j + 2*j - 7 - 3*j)*(-21*j**2 + 21*j**2 + 4*j**4).\nAnswer: 8*j**5 - 28*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k + 4 + 3 = -0*k - w, 0 = 3*w + 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/3 - 2) + 4\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*p - 3*t - 16 = 2*p, -1727 = 4*t - 1719 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 539 minutes before 4:31 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-30)\/42*(-2 - (4 + 1)). Solve 0 = -t - f + a*f + 9, -t = -3*f - 8 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4664024 to the power of 1\/2, to the nearest integer?\nAnswer: 2160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m**(-20)*m))\/(m*m\/m**(-6)) assuming m is positive.\nAnswer: m**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 20558 or 20554?\nAnswer: 20558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.16 * 1.\nAnswer: 1.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 4550371 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 467\/4 - 115. Is 2 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**2\/9 - 41400632*w\/9 + 214251541249928\/9.\nAnswer: 2*(w - 10350158)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -217073 - 5589*f - 531*f + 217071 to o*f + v and give o.\nAnswer: -6120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 10 * -0.06\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61*k - 1334 - 862 = 0 for k.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -34*g**3 - 560*g**2 + 938*g + 58. Determine j(-18).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9217848 and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.8 in 0.4, 0, -0.3, 288, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from joojstjtft. Give prob of picking 1 f and 1 o.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3\/4*i**2 - i - 1\/4.\nAnswer: -(i + 1)*(3*i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 778, 776, 774, 772, 770, 768?\n\"Answer: -2*o + 780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**2 + 1067*w - 18902. Give x(18).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the second derivative of 0 - 1\/3*u**3 + 0*u**2 - 3\/10*u**5 - 1\/2*u**4 - 1\/15*u**6 + 3*u. Factor g(a).\nAnswer: -2*a*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, y: 3, i: 5, d: 1, a: 3, b: 2}. What is prob of sequence aaa?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a*a**3*a*a))**(-5)\/(((a\/(a*a\/(((a*a**10)\/a)\/a)))\/a)\/a**(-15)))**(16\/3) assuming a is positive.\nAnswer: a**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 106*d - 83 = -3*x + 110*d, 3*x + 0*d - 3*d = x + 56 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -869*x = -881*x - 108 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:15 PM and 6:54 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2, -121045 in descending order.\nAnswer: -2, -3, -121045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -9*y**2 + 476*y + 55. What is t(53)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 7 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2655 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -31603, -126371, -284305, -505405?\nAnswer: -789671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a = -3*b - 25, 4*a - 4003 = -3995 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dr when two letters picked without replacement from ddrdrdddmdrdr?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 6 + (-12 - -6 - 5) - (-12 - -33)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 342981*v**4 + v**3*w**2 - 32148*w**2 - 4*w + 2 wrt v?\nAnswer: 1371924*v**3 + 3*v**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nffnpffpfffwnnnnn. What is prob of picking 1 w, 2 p, and 1 n?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 81796892137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 2*l = -3*l + 192, l - 3 = 0. What is the remainder when z is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + o**2 + 2*o**3 - 1 + 5 - 2 - 4 in the form x*o**3 + d*o**2 + r*o + a and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 + 1001101000?\nAnswer: 1001100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*z = -5 - 6. Which is the nearest to 0.1?  (a) 1  (b) -0.23  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(288) + 1 + sqrt(288))**2 - (2*sqrt(162))**2.\nAnswer: 48*sqrt(2) + 505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hgg when three letters picked without replacement from {h: 3, g: 8}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.5, -21, 1\/11, -3, -2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -12\/1855 - 164951\/22260. Let w = -2209 + 44169\/20. Calculate the common denominator of w and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*g - g**4 + 4*g)*(-51 + 79*g + 51).\nAnswer: -79*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1030565207 to the power of 1\/2, to the nearest integer?\nAnswer: 32102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 400 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -381514*5\nAnswer: -1907570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30 - -15 - 5) + 47.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4046 - 4029. Calculate the remainder when 1696 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:26 PM and 11:57 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 9*x. Let n(b) = 100162*b. What is n(p(c))?\nAnswer: 901458*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 435 and 19740?\nAnswer: 572460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kbnbsssbass. Give prob of picking 3 b.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -503*k + 2594*k = 41820 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10150871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -26\/7 - -27\/7. Suppose -51*q + 30483 = 30330. Which is the second biggest value?  (a) z  (b) -0.2  (c) -3\/4  (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of s**4 - 30487*s**2 - 281471 wrt s?\nAnswer: 4*s**3 - 60974*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -36266194 - -64517795. Let g = -28251668.999938 + z. Let c = 68 + g. Round c to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1333 and 579683.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -190851 + 5?\nAnswer: -190846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -1\/4  (b) -1.5  (c) -3  (d) -9037\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7 * 425.94295.\nAnswer: -2981.60065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2802973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10)\/(-9)*(35\/25)\/(-7).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*k**3 + 4*k**2 - 5*k**2 - 12*k**3 to the form q + o*k**3 + g*k + u*k**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -14 + 43\/3. Let s = -0.3 - -0.7. Let l = 3541\/5 + -708. Which is the nearest to 1?  (a) r  (b) s  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:34 PM and 1:18 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**3 - 185*m**2 + 153*m - 6058. Let c(o) = -15*o**3 - o**2 - o - 1. Calculate the lowest common multiple of b(-186) and c(-1).\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0 + (-1)\/(4\/(-24)). Solve 0 = 2*o - f*o + 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 342 minutes after 10:28 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*q - 12*q + 3*h - 123 = 0, h = 2*q - 69. Solve -44*v + 50*v - q = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9989.067 centuries in months?\nAnswer: 11986880.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-4)\/10)\/(1\/5). Let n = 0 + 1. Let c = 8773\/5 + -1755. What is the nearest to n in c, i, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - o)*(41272 - 4*o**2 + 0*o**2 - 41130).\nAnswer: 4*o**3 - 142*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -202*u - 1008 = 206 + 200 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2045544 is divided by 1022770?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let q = -3\/14 - -37\/42. Which is the closest to q?  (a) -0.7  (b) 5  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 1999523 = -777256 + 1046745. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 33.67079 millilitres?\nAnswer: 0.03367079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*u - 60 = -40*u. Solve u = -3*d - 0*n - 2*n, -3 = d + n for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 77497649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 - 732.9525466585\nAnswer: -732.5525466585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2268 + 382 = 2884*w + 3882 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 9*y + 12. Let i(j) = -6*j - 8. Let l(v) = -5*a(v) - 7*i(v). Let c be l(-4). Solve -3*o = -3*z - 4*o - c, 0 = -4*z - 3*o - 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 26*v**3 - v**2 + 1. Let r be l(1). Suppose -4*y = -3*k - 93, -94 - r = -5*y + 5*k. Calculate the greatest common divisor of 7 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2\/(-14))\/(42\/(-882)). Solve 0*u - 12 = 4*v - m*u, 4*u + 12 = -4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -17.1 - -13. Let y = 2.1 + i. Which is the nearest to y?  (a) -3\/2  (b) -1  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -358433*w**2 + 119478*w**2 + 119477*w**2 + 119476*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -2 + 1 + 183\/39 and 1358\/130 - (-74)\/481.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (0 - -5)\/5*(1 + 1). Solve -3 = k*w + x, 0 = -2*w + 3*w + x for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -2518*g + 6. Let u(h) = -519*h. Give b(u(i)).\nAnswer: 1306842*i + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 7*29\/(1015\/60)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:44 AM and 9:46 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5192249\/537 + -9669. Which is smaller: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 85 and 0.92.\nAnswer: 85.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 9845011 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.3 + 34.7. Let h = -35.00296 + d. Round h to four dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2, -0.1, -0.9, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 12011308 to the power of 1\/2, to the nearest integer?\nAnswer: 3466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l - 2. Let f be w(-1). Which is the third smallest value?  (a) f  (b) -0.1  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 48455, 48536, 48617, 48698, 48779?\n\"Answer: 81*a + 48374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the third derivative of 0*c + 0*c**3 - 2*c**2 + 0*c**4 + 1\/60*c**5 - 23. Let a(k) = -84*k. Give g(a(o)).\nAnswer: 7056*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 16.7 - 0.7. Let b = -16.3 + s. Let o be (-8 - 0) + 7 - 14\/10. Sort 1\/6, b, o in decreasing order.\nAnswer: 1\/6, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-11))**17)**(-4) assuming x is positive.\nAnswer: x**748","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.616612 micrometers to meters.\nAnswer: 0.000006616612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (11 + -12 - -6) + (-2 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1371*a**4 - 3263*a**2.\nAnswer: 32904*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 495 and 110.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n\/n**(2\/7)*n))\/n)\/((n**(-2\/3)\/n)\/n*n) assuming n is positive.\nAnswer: n**(-1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -33 (base 13) to base 4\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(22)\/sqrt(2) - (1*sqrt(11) + -4))**2*-6.\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.86639 rounded to two dps?\nAnswer: -1.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 5*x - 12. Determine h(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3741233807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 2*z - 17. Suppose -3*b + 17 = 5. Let k(v) = 4*v. Let h(w) = -5*w. Let m(t) = b*k(t) + 3*h(t). What is m(r(c))?\nAnswer: 2*c - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 5) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 21, -35, -185, -477, -959, -1679, -2685, -4025?\n\"Answer: -8*l**3 + l**2 - 3*l + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 4 - 102\/18.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, 4, -2812?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34071511.\nAnswer: 31, 1099081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 38 and 4?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 454369562?\nAnswer: 2, 43, 122869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -2*y**2 + 43*y + 166. What is p(25)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -32\/231, 1, -0.2, 6\/5, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -71 - -30. Let z = 76 + f. Suppose -5*c + 0*c = -z. Calculate the greatest common divisor of 1 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16052 is divided by 64.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (96\/(-40))\/((-6)\/75). Suppose 4*h = -6 + d. Is h\/(-18) + (-1168)\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = 4*o - 7 - 17, -5*s + 60 = 5*o. Let z be 2\/((-16)\/s)*-2. What is the first derivative of -26*a**z + 6*a**3 - 3*a**3 - 36 - 8*a**3 wrt a?\nAnswer: -93*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:03 AM and 12:23 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p**3 - 22*p**2 - 3*p - 52. Let b be c(22). Is b at most as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) 3\/10  (c) 8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**2 + 3*z + 57. Let i be m(-6). Let t(l) = 18*l - 5. Let g(k) = 10*k - 3. Let c(p) = i*t(p) - 5*g(p). Let f(o) = 3*o. What is c(f(j))?\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 59\/4 + -173\/12. Solve 5\/3*c**2 + 4\/3*c**3 + h*c**4 + 2\/3*c + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14 (base 14) to base 2\nAnswer: -10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 255*z + 65. Let u be m(-9). Let r = u + 3434. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the second derivative of o**4\/3 - 10*o. What is the lowest common multiple of w(-1) and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-160*b**2 - 165*b**2 + 246*b**3 + 343*b**2)*(-4*b + 0*b + 2*b).\nAnswer: -492*b**4 - 36*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -190 + 291. Let j = -101.157428 - -0.094428. Let x = w + j. What is x rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the second derivative of p**3\/6 - p**2\/2 - 8*p. Let b = 58 + -56. Let q(l) = 0 + 4*l**2 + 5*l - 3 - b. What is q(d) - 5*t(d)?\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -7a20f + 1?\nAnswer: -7a20e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 y when two letters picked without replacement from ymx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 5\/(275\/(-10)) + 48\/(-220). Let i = -1.391 + -0.609. Which is the nearest to i?  (a) 8  (b) -3\/2  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1217, 1201, 1185, 1169, 1153, 1137?\n\"Answer: -16*t + 1233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 55\/12 and 12\/12780*132\/(-24)*4\/(-6).\nAnswer: 12780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -39 - -100. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 22  (b) -80239  (c) 2\/3  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the first derivative of -2\/5*g**5 + 620\/9*g**2 - 2042\/27*g**3 + 31\/3*g**4 - 200\/9*g - 137. Factor c(q).\nAnswer: -2*(q - 10)**2*(3*q - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-8)*2)\/((-4)\/20)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-16)\/((-1)\/(-12)*6*-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 125 - (4 + 16\/(-4)). Let d = c - 55. List the prime factors of d.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.8 and 0.14.\nAnswer: 0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -610 - -1448. Let z = h - -715. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 0 - -2 - (37 + (68 - 102)) - 11.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -185\/3 + 127\/2. Which is the third biggest value?  (a) -2\/3  (b) 0.5  (c) o  (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -15505, 14, 8 in descending order.\nAnswer: 14, 8, -15505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 8592633.663 and -1?\nAnswer: 8592634.663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8071 - -8129. Is 51 greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x + 8 = -4*s, -5*s - 166*x + 580 = -64 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-1\/13)\/(h**7\/h*h*h*h))**(-7\/10) assuming h is positive.\nAnswer: h**(413\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -38*v**2 - 2. Let s(g) be the second derivative of 0*g**2 + 0 + 12*g - 1\/6*g**3. What is s(w(l))?\nAnswer: 38*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ttg when three letters picked without replacement from {m: 1, g: 2, j: 2, b: 1, t: 12}?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 71498.\nAnswer: 2, 7, 5107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 29 + -18. Solve -a*u - 20 = -6*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 9916, 20372, 31152, 42418, 54332, 67056, 80752?\n\"Answer: 27*i**3 + 10267*i - 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2 + -2 + (4 - 0). Suppose -4*j - k + 47 = -0*k, -4*j = l*k - 32. Let v = 46\/3 + -107\/6. Find the common denominator of v and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -68 - 10*n**2 - 56 + 2*n**2 + 124. Let p(h) be the first derivative of -1 + 6 + h**2 + 0*h**2 - 8. Determine p(w(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 times 571.8?\nAnswer: 1143.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -229 - -229. Suppose q = 3*o - 2*m - 1522, -o = -2*m - 2*m - 524. Is 18 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 20 - 12. Suppose 2*u - k - 11 = 4, 0 = -u + 2*k + 6. What is the lowest common multiple of w and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s - 3*q = 2*s - 6, -2*q + 4 = 0. Let k = 2 + s. Solve k*u + 0*b + 2*b - 2 = 0, 5*u + b - 17 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a + 3*a + 5. Let j be (8\/20)\/(a\/(-10)). Suppose -13 = -j*v + 71. What is the remainder when v is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 133372602 divided by -44457534\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 275 - 283. Let b(k) = 5*k**2 + 18*k + 14. What is the remainder when b(r) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5 - -35?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 91 = -o, -o - b + 107 = 3*b. Let p = o - 68. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 512, 1605, 3416, 5939, 9168, 13097, 17720, 23031?\n\"Answer: -t**3 + 365*t**2 + 5*t + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 60545?\nAnswer: 5, 12109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 8702, 69789, 235598, 558491, 1090830, 1884977, 2993294?\n\"Answer: 8727*y**3 - y**2 + y - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 46a + -5557?\nAnswer: -50ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (246700 - 246700 + 821*f)*(4 + 1 - 3) in the form c + j*f and give j.\nAnswer: 1642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -19, 28, 0.5 in increasing order.\nAnswer: -19, 0.5, 6, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**23\/b**(1\/7)*(b*b*b\/(b\/(b*b\/(b**(-4\/31)*b))))\/(b\/(b*b**(3\/2))) assuming b is positive.\nAnswer: b**(11929\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.13 in 8, -3\/8, -129, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2065287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*d**3\/17 - 54*d**2\/17 - 388*d\/17 - 576\/17 = 0. What is d?\nAnswer: -16, -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 2*g - 49. Suppose 0 = -8*d + 87 + 129. Let t be u(d). Suppose 0 = 2*s + 4*p - 230, t*s - 3*p + 254 = 881. List the prime factors of s.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 5*(3 - 6\/3). Suppose 5*r - 2*i + 80 = 0, r + f*i - 13 = -2. Is r\/(-3)*1*3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13 + 21 + 3*n - 2)*(-3*n - 2*n + 4*n)*(n**2 + 3 - 3).\nAnswer: -3*n**4 - 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -127\/31888?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = -4*c + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the second derivative of -p**6\/180 + p**5\/60 + p**4\/24 - p**3\/9 - p**2\/3 + 4*p. Find s such that y(s) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -64975, -64974, -64973, -64972, -64971, -64970?\n\"Answer: o - 64976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -22794388 - 344?\nAnswer: -22794732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -11 + 68 - 9*z - 3*z + 52 - 6. What is the units digit of p(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*b = -310*b - 3300 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29402352 is divided by 4216.\nAnswer: 4184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -183, -159, -75, 75, 297?\n\"Answer: r**3 + 24*r**2 - 55*r - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1, 0.062754, 0.5, -0.2, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -4*h**3 - 9*h**2 - 4*h - 9. Let z be i(-4). Let n = -167 + z. Let r = 59 - n. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17, -4, 39, 118, 239, 408, 631, 914?\nAnswer: 1263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -4*q. Let i(m) = 5*m + 1. Let h(j) = 3*c(j) + 2*i(j). Suppose 1176 = 6*d - 20*d. Let a = d - -82. What is h(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7771865131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -753\/4 + 271. Let x = -82 + r. Let c be 2268\/1323 + -2*3\/(-21). Is x bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -1557  (b) -2\/19  (c) -3\/4  (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 - -8. Let j(n) = -2*n**2 + 4*n - 3. Suppose 6*i = 126 - 138. Let y(t) = -t**2 + 4*t - 4. Let q(w) = f*y(w) + i*j(w). What is q(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a**3 + a**2 - 1. Let b(d) = -8*d**3 + 6*d**2 + 3*d - 6. Let w(s) = -b(s) + 6*c(s). Let j(v) = 2*v**3 - 2*v. Give 6*j(i) - 4*w(i).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11798113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 199410802?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 133 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1158*t + 779*t - 691*t to u*t + k and give u.\nAnswer: 1246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -8848146 divided by 384702?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 7*p**2 + 6*p - 167. Calculate z(-9).\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 2*k**3 - 41*k**2 - 112*k + 24. Let j be l(23). Solve -j = 4*w - 69 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 0, -12, -38, -84, -156, -260?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3570\/(-408)*(-3072)\/448?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -4.8  (b) -66  (c) -10  (d) 0.5  (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -5 - (-86)\/18 - (-56)\/9. Let q(n) = -2*n**2 + 15*n - 14. Let j be q(f). Find the third derivative of -6*d**4 + 6*d**4 - 10*d**2 - d**j - 4*d**4 wrt d.\nAnswer: -120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 352  (b) 152912  (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 2*u - 5. Suppose -4*q - 5 = 7. Let b be (12\/(-10))\/(q\/15). What is the units digit of w(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -947, -1620, -2281, -2924, -3543, -4132?\n\"Answer: y**3 - 680*y - 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 32*u**4 + 4*u**3 + 4*u**2 - 2*u + 27523 wrt u.\nAnswer: 384*u**2 + 24*u + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -d - 5*g, -3*d - 2*g = 2*g - 19. What is the lowest common multiple of 47 and d?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.6754 take away 0.0324103?\nAnswer: -0.7078103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 + 31 = -2*k. Differentiate -3 - k + 4 - 10 + 14*l wrt l.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1176 - 1170.87. Let p = -0.47 - x. Let i = p + -0.4. Is -1 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 68*t = 72*t - 2*b + 20, -3*t + 6*b - 24 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 4*h - 16 = 0, 4*j - 2*h + 2 - 20 = 0. Suppose 179 = -2*v + 5*x, -v - 482 = 4*v - x. Let y = -97 - v. Solve y = -4*f - j for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1 and 0.11.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 23674733 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 80 + -52. Put 1, c, -2\/5, 0 in increasing order.\nAnswer: -2\/5, 0, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -16 - -16. Let n be (-5 + 1 + j)*(-33)\/44. Solve -4*x + x = n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 44540 = -7*d, -9219 = 3*d - 5*w - 28335. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -46 + 1575*y - 814*y - 828*y - 45.\nAnswer: -67*y - 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16)\/(-15)*-18*(36\/56)\/(228\/(-1330))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -2*y + 5. Let x be n(7). Let r(c) = c**2 + 7*c - 10. Suppose -8 = -2*v + 12. Calculate the lowest common multiple of r(x) and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 2, j: 6}. Give prob of sequence jji.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6 + -1110076916.\nAnswer: -1110076922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*n + 6*n. Suppose 0 = -3*g - n*g + 9. Suppose g*k = k + 22. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2245214783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 12*y**2 - 51704*y + 34464.\nAnswer: 4*(y - 4308)*(3*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3 - -2)\/(-20 - 21). Suppose -r + 1 = -0. Which is bigger: w or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18381.7 - 49\nAnswer: 18332.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f**2 - 18*f - 81. Let m be r(-9). Which is the closest to m?  (a) -1\/6  (b) 1\/5  (c) -176\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1206*t**2 + 8538 + 8548 - 17086 + 1513*t**2.\nAnswer: 2719*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, j: 2, v: 1, u: 2}. Give prob of picking 1 j and 1 y.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1225*b**2 - 352*b**2 + 1333*b**2 - 445*b**2)*(4*b**3 - 2*b**3 + 0*b**3).\nAnswer: 3522*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3323 + 3325. Let s(q) be the second derivative of -1\/20*q**5 + 0 - 6*q + 0*q**v + 0*q**3 - 1\/12*q**4. What is the third derivative of s(t) wrt t?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 262\/9 or -1149?\nAnswer: 262\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.11, 5, 99, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from okkkokok.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -497 + 101 = -6*j. Let c = 4 - 2. Suppose -j = -c*a + 34. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -155 - -297. List the prime factors of r.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**3 - 49*r - 10. Let s be o(-6). Calculate the highest common divisor of s and 136.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 26*b**2 - 6*b - 5. Let v be q(-1). Suppose 4*i + 3*s - 15 = 0, -5*s = -4*i + 2 - v. Solve 0*x - 3*x = i for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -216329.86 to the nearest one thousand.\nAnswer: -216000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 38\/7?  (a) -0.17  (b) 0.1  (c) 0.3  (d) -39  (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 67738 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in n**2 + 0*n**2 + 10277 - 10277.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 79 + 87. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qlxxclcllxqllqgg. What is prob of picking 1 q, 1 g, and 1 c?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.115 - 0.385. Sort -2\/33, -3, -4, l in decreasing order.\nAnswer: -2\/33, l, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 + 5 + (2 - 53)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -x**2 + 6*x**2 + 4*x**2 + 2*x**2.\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 44 + 6 + 3 - 586*d - 53.\nAnswer: -586*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 126 + -a49?\nAnswer: -923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 225995179 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnni when four letters picked without replacement from {n: 13, i: 6}.\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2 + 1)*((-6)\/4 - (-12)\/8). Which is greater: -0.647 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the second derivative of -2*n**6\/45 - 2*n**5\/15 - 5*n**4\/36 - n**3\/18 - 7*n. Factor w(l).\nAnswer: -l*(l + 1)*(2*l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 37*y - 666. Determine d(21).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 15*b**2 - b. Let s(a) = 31*a**2 - 2*a. Let x(k) = 5*d(k) - 2*s(k). Let t(c) be the third derivative of c**5\/20 + c**2 - 40*c. Give x(t(i)).\nAnswer: 117*i**4 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -18 - -158aa9?\nAnswer: 158a91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-four fifths of a microsecond in nanoseconds?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 0 + 3)*(-2 + 1 + 3)*(3*y - 3*y + 36*y)*(1 - y - 1) in the form j*y + l + o*y**2 and give o.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-39)\/(36465\/(-68)))\/((-2)\/5)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 523148265*i + 306210192?\nAnswer: 523148265","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r*r**(-1)*r*r**(-33)*r**(-2\/31)\/r**(1\/22) assuming r is positive.\nAnswer: r**(-21899\/682)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**3 - 5*c**2 - 8*c - 8. Suppose -x = -3*w - 10, -4*x + 5*w + 23 = -10. Let l be v(x). Let d = -33 + l. Put -3, -7, d in decreasing order.\nAnswer: d, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4 + 3.9. Let o = -7.7 + 8. Let s = -2.01 - -0.01. What is the second smallest value in o, s, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(1 + sqrt(468) + (sqrt(468) + 4)*4 + -3 + (sqrt(468) + 1 - sqrt(468))).\nAnswer: -60*sqrt(13) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 + 7. Let l(g) = -728*g - 35. Let i be l(o). Is (-2)\/(-3) + i\/3*-1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 80000877 is divided by 120.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19 + -11 + -2 + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1674222, 3348409, 5022596, 6696783, 8370970, 10045157?\nAnswer: 11719344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxkxxkpk. Give prob of picking 1 x, 1 k, and 1 p.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 104 - 100. Sort j, 1\/2, 5 in ascending order.\nAnswer: 1\/2, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*b - 60*b + 304 = -191 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19) - (sqrt(19)*2 + sqrt(19)))*1 + -1 - ((sqrt(171)*2*6)\/sqrt(9))**2.\nAnswer: -2737 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j**4\/7 - 67652*j**3\/7 - 54511380*j**2 - 102680857300*j - 817963076000 = 0. Calculate j.\nAnswer: -5635, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0031769 rounded to 4 dps?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2\/(-4))\/(5\/10). Suppose -4 + 19 = -3*l. Sort h, l, 0 in ascending order.\nAnswer: l, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 733392 a multiple of 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 42 + -59. Let z = x + 32. What is the greatest common factor of z and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1307758537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 81.951 + 0.049. Let f = -93183.9835 - -93266. Let c = f - p. Round c to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 7}. Give prob of picking 4 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n + 5. Let b be p(-2). Let d be (b - (4 + -5)) + -2. Calculate the remainder when 31 is divided by ((0 - 1)\/(-1))\/d*14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -72\/2143?\nAnswer: -72\/2143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 12*z**2 - 18*z + 18. Let w(f) = 7*f**2 - 10*f + 10. Let p(m) = -5*g(m) + 9*w(m). Let t(j) = -5*j. What is t(p(n))?\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -40*f**3 + 88*f**3 - f - 47*f**3 - 1 + 2*f - 36*f**4 as u + t*f**4 + b*f**2 + i*f**3 + a*f and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*w = 23*w + 81. Let k = 113 + -67. Let v = k + w. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n**2 + 6*n + 6. Let v be b(6). What is the highest common factor of 66 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 4, 5658138 in decreasing order.\nAnswer: 5658138, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14)\/4*((-17970)\/(-3570) + (9 - 14)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 10*p**2 - 7*p + 4. Let c(a) = a**3 - a**2 + 28*a - 104. Calculate the remainder when o(5) is divided by c(4).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 120 and 280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**3 - 6*o**2 - 7*o - 6. Let x be z(-5). Find the third derivative of -g**2 - 3*g**4 - g**x + 5*g**4 wrt g.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 8655*r - 277057. Determine v(32).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -2*a**2 - 13*a - 185. Let o(m) = 2*m**2 + 12*m + 184. Suppose -3*c + 11*c = 56. Let n(u) = c*o(u) + 6*g(u). Find the first derivative of n(z) wrt z.\nAnswer: 4*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 16710 - -3?\nAnswer: 16713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4 + -5ab?\nAnswer: -5b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 111 + -1322010?\nAnswer: -1321233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -5*f + 2. Suppose y + 4*y - 865 = -5*k, 3*y - f*k = 484. Let i = 652 + -628. What is the greatest common divisor of y and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5639689 (base 10) to base 13\nAnswer: 1225cc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2040\/(-765)*9\/12 - 22*(1 - 0)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1081328 divided by 28456.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*d + 74 + 409 = -27*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 33*z**2 + 5*z - 4. Let k be u(2). What is the greatest common factor of 12 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -3  (b) 20  (c) -5  (d) 2\/7  (e) -38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 18779 rounded to the nearest one hundred?\nAnswer: 18800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 105*o - 70*o - 196945 = 0. Calculate the greatest common divisor of o and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4051978.\nAnswer: 2, 7, 19, 15233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 814292987 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 452, 775, 1312, 2063, 3028, 4207, 5600?\n\"Answer: 107*f**2 + 2*f + 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*s - 4979*s - 1406*s.\nAnswer: -6377*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2600 or 28612\/11?\nAnswer: 28612\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2327c (base 15) in base 13?\nAnswer: 3bc4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-395)\/(-711)*-9*348\/180?\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7098 - -14197\/2. Which is the fourth smallest value?  (a) -4  (b) -7  (c) i  (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from whwhhhhhhhhhhhhhhw. What is prob of sequence whh?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 2 a when three letters picked without replacement from uuuauuusausxxus.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 152123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyyyyyyyyyyyyaayya. What is prob of sequence ya?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 2, -5, -18, -37, -62, -93?\n\"Answer: -3*s**2 + 2*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6746979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**2 + 22190*k - 177459. Give l(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 25788?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 42 and 196?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -12*a - 20. Let m be b(-2). Solve c - m*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6270 divided by 22?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 9\/2*(-156)\/36. Let p = 20 + n. What is the closest to p in 3, 0.2, -1\/8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 453 or 446?\nAnswer: 453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*c*s - 4756*c + 22402043*s - 24298 with respect to s.\nAnswer: 3*c + 22402043","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 200*b + 3*b = -16*b + 219. Is 9\/412 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17441?\nAnswer: 107, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 69305 is divided by 1015.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -4878.93 rounded to the nearest 10?\nAnswer: -4880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 97 is divided by 1*(6 - 2) - -47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/46400 and 7\/348000.\nAnswer: 696000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -y**5 + 230*y**4 - 187136*y**3 + 864945569*y**2?\nAnswer: -60*y**2 + 5520*y - 1122816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 60 - 64. What is the units digit of 19\/(931\/(-504))*42\/g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 11*l**3 + 16*l - 34*l + 17*l + 2*l**2. Give g(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 - 1118577450787?\nAnswer: -1118577450786.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*q = -4*v + 312060, 5*q + 71*v - 195036 = 70*v. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 142, 4.9, 46, -0.3, -2, 4, 5 in increasing order.\nAnswer: -2, -0.3, 4, 4.9, 5, 46, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -3*c - 32. Let y(q) = -61*q**2. Give y(s(t)).\nAnswer: -549*t**2 - 11712*t - 62464","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3050*f*r**4 + 3095*f*r**2 + 2*f*r + 13*f + 425*r**4 - r**2 - 3*r wrt r?\nAnswer: -73200*f*r + 10200*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7.54 - -8. Let d = p - 0.54. Let q = -0.0755 - d. What is q rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -29*u**4 - 2*u + 25. Let n(v) = -87*v**4 - 7*v + 74. Let k(g) = 7*a(g) - 2*n(g). What is the derivative of k(z) wrt z?\nAnswer: -116*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 402374 and 574.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 985*p**2 + 3682*p**2 + 97*p**2 + 994*p**2 - 238 + 68*p - 63*p wrt p.\nAnswer: 11516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(1\/29)*l*l)\/l)\/l**(17\/4) assuming l is positive.\nAnswer: l**(-373\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -28\/3  (b) -3  (c) 2\/21  (d) -1  (e) 1  (f) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand x**3 + 4*x**2 - 4*x**2 + (96*x**2 - 17*x**3 - 96*x**2)*(-5 + 4 + 2).\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 10*h**2 + 130*h + 83. Give a(-12).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/u**8*u*u**(-1\/11))\/(u**(-2\/3)\/u**(-1)) assuming u is positive.\nAnswer: u**(-212\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -32 from 201.536.\nAnswer: 233.536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 9\/452767 or 0?\nAnswer: 9\/452767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**3)**(-1\/26)\/(s**8)**(-50) assuming s is positive.\nAnswer: s**(10397\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3396372523.\nAnswer: 17, 73, 571, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 5  (b) 4720  (c) -5  (d) -222  (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3\/4 - 2689\/3596. Is -1\/4 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.2665303l?\nAnswer: 266.5303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2117*z**6 - 428*z**6 + 927*z**6 + 2*z + 8 - 4667*z**6 - 5*z**2 wrt z.\nAnswer: -754200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6 - ((-2)\/(-2) + -1). Let d(l) = 3*l - 5. Let m be d(j). Let p = m - -10. What is the remainder when 67 is divided by p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 215125961?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -2*u - 5. Let a = 2 - 4. Let w = -0.592 + 0.192. Put w, u, a in increasing order.\nAnswer: a, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, k: 2, e: 3, h: 1}. Give prob of picking 2 e and 1 y.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*q = -78*q + 504 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 minutes before 5:05 AM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(2\/7))**1)**(-2\/19)\/((q**(1\/3)*q)**23*(q**0)**(3\/8)) assuming q is positive.\nAnswer: q**(-12248\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39639.\nAnswer: 3, 73, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -4 - -9 - (4 + 11 + -1) - 5\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-37)\/(-148))\/(6\/(-4)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a day in seconds?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26474 - 32*k - 26474.\nAnswer: -32*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1119362 to the nearest integer?\nAnswer: 1058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + k - 2 = -3*w, 5*w - 20 = -5*k. Suppose -4*u = -k*c - 16, u = -2*u + c + 12. Solve u*t = -1 - 7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 64 - 96. Let t = j + 38. Which is the biggest value?  (a) 0.4  (b) -2  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 20\/37 or -1\/12?\nAnswer: 20\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: ((-70)\/(-8))\/(255\/(-1224))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -23740 + 10831. Is (40\/6 - 7)\/(1\/q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -246141 * 1.47\nAnswer: -361827.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3294 and 244.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 15210091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t**2\/13 + 184*t\/13 + 1176\/13 = 0. What is t?\nAnswer: -6, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3640 and 385210?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*w = 18*w + 126. Let a = -13 + 25. Calculate the remainder when w is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -219 - -230. Calculate the remainder when 85 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1907, 3618, 5161, 6536, 7743, 8782?\n\"Answer: -84*z**2 + 1963*z + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 21990?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 6*j**2 + 2*j + 1. Let n(h) = -9*h**2 + 2*h + 11. Let x(k) = 5*k**2 - k - 6. Let s(p) = 6*n(p) + 11*x(p). Give l(z) - 4*s(z).\nAnswer: 2*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 5161\/22001?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d + 5*x = -21, 226*d = 2*d - 42*d + 30*d - 5*x + 2586 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 + -6. Let k(r) = -5*r**5 - 2. Let f(a) = 21*a**5 - a**2 + 9. Let m(w) = z*f(w) - 9*k(w). Find the third derivative of m(n) wrt n.\nAnswer: 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -555*i*x + 6*i - x + 7897 with respect to x.\nAnswer: -555*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 265*x**2 + 150*x - 62. What is o(-2)?\nAnswer: 698","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/(-2)*6\/(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g = -6*i - 24, 0 = 4*i - 584*g + 588*g + 28 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wddwwwdwwdwwww. What is prob of picking 4 w?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**4)\/j**(-2)*j**(-11)*j**(-3)\/j assuming j is positive.\nAnswer: j**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g and 2 r when four letters picked without replacement from gggrrgrrngrrgyrg?\nAnswer: 63\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 12 + -94 + 37 + 105\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 30918, 125139, 282174, 502023, 784686, 1130163?\n\"Answer: 31407*n**2 - 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -34199 - -36777. List the prime factors of k.\nAnswer: 2, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 982174.042 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 41*c**4 - 279*c**3 - 48*c**2 + 8190661*c.\nAnswer: 492*c**2 - 1674*c - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8 + 13. What is the third derivative of 5*l**2 - l**2 - 2*l**3 - 5*l + s*l wrt l?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -16a8 - a?\nAnswer: -1707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 36 and 477?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -865448 divided by 22\nAnswer: -432724\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 40903973 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*n - 59 = 7*n + 4*x, 3*x + 3 = 0. Calculate the lowest common multiple of n and 58.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**(-5))\/a)\/a*a*a\/(a*a**(-5\/9)) assuming a is positive.\nAnswer: a**(-40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 12*l**2 - 228 + 228 + (-2*l**2 + 2*l**2 - l**2)*(0 - 4 + 5).\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**3 - 44*b**2 + 263*b + 160. Give f(8).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 38 and 101954?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 23*o**2 - 38*o + 153. Is n(16) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (((-30)\/(-14))\/(6\/(-21)))\/(6\/(-3904)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the third derivative of -j**5\/60 + 17*j**4\/24 - 40*j**3\/3 + 82*j**2. What is the derivative of y(o) wrt o?\nAnswer: -2*o + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 305848284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3487 by -2267.\nAnswer: 3487\/2267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = 5*a - 355, 3*a - 3*w = -0*w + 234. Suppose -a*f + 68*f + 2050 = 0. Round f to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 327*z. Let y(g) = -g**2 - 897. What is a(y(t))?\nAnswer: -327*t**2 - 293319","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 5, -2\/13, 2\/51, 1\/2, -3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1053443\/400110 + 6\/13337. What is the common denominator of f and 197\/510?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 equal to -4\/1699?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.23 - -12.67. Let s = -13 + p. Let i = -4.5 - -0.5. What is the closest to 0.1 in -0.4, i, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-18 - 18 + 2)*(-69 + 69 - 7*i) to the form p*i + j and give p.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 11726.19 months in centuries?\nAnswer: 9.771825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 197*i + 193*i - 3 to p*i + b and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes after 4:47 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 12949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-36)\/522)\/((108\/(-522))\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -98*j**5 + 4354546*j**4 - 53493245*j**3\/2 + 42939791*j**2 - 11462433*j\/2 + 199926 = 0?\nAnswer: 1\/14, 3, 44428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 3*v - 15 = z, 3*v + 15 = -5*z. Let d be (-1)\/(-1)*(2 - 2). Suppose d = r + 1, z = 5*w - 2*r - 3*r - 400. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*g - 15*g + 3*g to the form n*g + j and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*v - 6*v**2 - 170 + 177 - 3*v.\nAnswer: -6*v**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 8006*y - 17345. What is z(2)?\nAnswer: -1333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2 + 0 + 6\/51 + (-4)\/34. Factor 2\/13*n + 4\/13 - 2\/13*n**p.\nAnswer: -2*(n - 2)*(n + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 12*j. Let w(s) = -2*s**2 - 87*s + 1. What is w(t(x))?\nAnswer: -288*x**2 - 1044*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4\/6*(-10 - -4). Let r be (-3 + (-28)\/(-8))*4. Is (q + 1369\/r)*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -16270 to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-m**3 + 5*m**3 - 3*m**3)*(20*m + 61*m + 60*m) - 3 - m**4 - 2*m**3 + 3 to the form p*m + i*m**4 + r + h*m**2 + y*m**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0976947086 to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 (base 12) in base 16?\nAnswer: -f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 2\/5, -2\/3, 4, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -4*x + 9. Let c be n(8). Let o = c - -33. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 85815859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -10375 + -6?\nAnswer: -10403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that -4*h**4\/7 - 5204*h**3\/7 - 1155312*h**2\/7 = 0.\nAnswer: -1017, -284, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.72 + 1.06. Let p = -163.78 + u. Let t = p - -161.342. What is t rounded to two dps?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t + 4*q - 63, -5*t - 3*q - 2*q + 105 = 0. Let m = 4920 - 4906. What is the highest common divisor of t and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -21\/745 and -62\/5?\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 2*i**2 - 7*i. Calculate the remainder when 42 is divided by m(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -a - 1, 2*q - 4*a = 2. Suppose 5*h - 9 = 6. Let b be 2 + h + -2 + 1. Solve q*r = b*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1586, -3281, -5074, -6977, -9002, -11161?\nAnswer: -13466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 16 - 17. Let y be (b\/3)\/((-1)\/12). Suppose 2*i + 3*t = -1, i = 5*i + t + 7. Sort y, i, 1 in increasing order.\nAnswer: i, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 12*i**2 + 2. Let n(k) = 35*k**2 + 6. Let a(r) = -6*n(r) + 17*v(r). What is the first derivative of a(b) wrt b?\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 20662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -7, -5 in descending order.\nAnswer: -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (((-6)\/4)\/3)\/((-258)\/258)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (16*o + 22850 - 28*o + 10*o - 18435)*(-2*o + 1 - 1) as d*o + w + q*o**2 and give d.\nAnswer: -8830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -f**2. Let a(m) = -2*m**2 - 3*m**2 + 4*m**2 + m + 5*m. Calculate a(o(z)).\nAnswer: -z**4 - 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -10*v + 19. Solve -v*c = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, a: 1}. What is prob of sequence wa?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 85576447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*v - 7*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = -3*r + 32, -3*k + 50 = 4*r + 14. Suppose 179*d - 2639 = -24*d. What is the remainder when d is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -8*u - 72. Determine f(-15).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h\/(h*h**(-12))*h*h**24*h*(h**9)**(5\/8) assuming h is positive.\nAnswer: h**(349\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 10*b - 2. Let k = -949 + 952. Let c(g) = -g + 1. Give k*c(i) + t(i).\nAnswer: 7*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 317*d**2*k**4 - 10*d**2*k + d*k - 3*k**4 - 25*k wrt k.\nAnswer: 3804*d**2*k**2 - 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p**2 - 3*p**2 + 0*p**2)*(-2 + 3 - 3) + 3*p**2 + 0*p**2 - p**2 - p**2 + 128*p - 128*p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -8, -135, -334, -605?\n\"Answer: -36*q**2 - 19*q + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3128947*-1.\nAnswer: -3128947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 less than -18747067449?\nAnswer: -18747067441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 196676479 to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*((sqrt(220) + (sqrt(220)*-2 - sqrt(220) - sqrt(220) - sqrt(220)))*2)\/sqrt(10))\/(sqrt(396)*3 - (sqrt(121) + sqrt(121)*3)\/sqrt(11)).\nAnswer: 24*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -207 times -0.3?\nAnswer: 62.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 + 8 = -3*r. Suppose 11*g - 96 = -g. Which is smaller: g or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the second derivative of v**3\/2 + 7*v. Let n(r) = 6*r**2. Determine q(n(o)).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that r**2\/4 + 1630065*r\/2 + 2657111904225\/4 = 0.\nAnswer: -1630065","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 60 + 2. Let p be l + 6\/(2 + 0). What is the highest common divisor of p and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u**3 + 40*u**2 - 42*u - 53. Calculate b(-41).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 267 and 2848?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32*s**2 + 184 - 97 - 87.\nAnswer: -32*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 9788809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 36636 and 120?\nAnswer: 366360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 225 divide 2622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1801932 (base 10) to base 4.\nAnswer: 12313323030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the first derivative of 3*p**2 + 3*p + 3. What is the first derivative of h(a) wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 339692 to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the second derivative of i**4\/3 + i**3\/2 - i**2 + 3*i. Let w be g(1). Suppose w*u - 2*q = 213 + 269, -5*u + 485 = -5*q. Is 32 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 34 + -33. Let b be -21*(-1 - -1 - f). Let g = -13 + b. What is the remainder when g is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8 - 4. Suppose 0 = -5*t - 0*t - 4*w + 33, t - m*w = -3. Let z = t + 0. Put 3\/7, z, 2 in decreasing order.\nAnswer: z, 2, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 17945571 and 6836408?\nAnswer: 143564568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 335082877?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: ((-36)\/9)\/(4\/(-2))*30\/(-20)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 65 = 3*q, -4*q + q - 145 = -4*c. What is the highest common divisor of 10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7915?\nAnswer: 5, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -1805800 to the nearest ten thousand.\nAnswer: -1810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20405 = -4382*t + 1962*t + 2035*t for t.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**3 + 10*o**2 - 14*o - 12. Let k = 167 - 159. Let i be c(k). Solve 3*x - i*x + 1 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p**2 + 10*p. Let h be j(10). Solve 2*u + 5*c - 2 = h, 3*c + 0*c = -u + 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42*l**2 - 91*l**2 + 56*l**2.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -85\/8 and -47\/371269.\nAnswer: 2970152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -30342 - -4052?\nAnswer: -22250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 103 = 1. Let w = 24 + 23. Let q = w - v. What is the highest common divisor of q and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**(-2))\/x)**(-37)*(x**1)**(1\/61) assuming x is positive.\nAnswer: x**(4515\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*g*h**2*y + g*h**2 + 2*g*h*w*y**2 + 4*g*w*y**3 + h**2*w - 7*y**3 with respect to w.\nAnswer: 2*g*h*y**2 + 4*g*y**3 + h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 72 (base 13) in base 15?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = -37 + 39, 0 = 2*i - o - 9. Solve 4*n - 2*z + 26 = -i*z, -2*n = 3*z + 23 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s**4\/2 - 25*s**3 + 237*s**2\/2 + 5146*s + 9610 = 0. Calculate s.\nAnswer: -10, -2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - s - 82 = -0*i, -5*i = 2*s - 122. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-24)\/16*(18105\/(-9) + 1). Let j be f\/117 + (-2)\/(-9). What is the greatest common divisor of 442 and j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(336)\/sqrt(7) + -5*(3 + sqrt(3))**2.\nAnswer: -60 - 26*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - 13) + (-76677)\/(-5124).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5114639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = -5*t + 15, 57*f + 21 = -4*t + 52*f. Is (105\/42)\/((-497)\/(-496) - t) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1271325 + 34?\nAnswer: -1271271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6003030, -12006063, -18009096?\nAnswer: -24012129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 + -2434064?\nAnswer: -2434061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4.2 - -12.8. Let t = 17 - v. Let y = -0.2 - t. What is the nearest to 0 in 2, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 63\/9110 and -17\/10932.\nAnswer: 54660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -59.946 - 0.054. Let m = -59.999999843 - g. Round m to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*z - 10*z - 10*z + 34*z - 9*z - 2.\nAnswer: -6*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -j + 2*r, -2*j + 27 = -0*j + 5*r. Let g be (-4)\/(8\/(-10)) - ((-38)\/(-4) - 6). What is the nearest to j in -2, g, 41?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the third derivative of -c**8\/1680 + c**5\/60 - c**3 - 8*c**2. Let u(a) be the first derivative of y(a). What is the second derivative of u(d) wrt d?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 - 1. Let s(m) = -10*m**3 - 129*m - 20*m**2 + 11*m**3 - 22*m**2 + 34*m**2 + 135*m - 1. Determine s(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7652 + 130082\/17. Let g be (-6)\/(-45)*(-2)\/(-6). Sort -0.2, d, g, -4.\nAnswer: -4, -0.2, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 8, z: 3}. What is prob of picking 3 i?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 201\/28 - 31\/4. Sort 1, -0.017, s in descending order.\nAnswer: 1, -0.017, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 256748, 256747, 256746?\n\"Answer: -c + 256749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 10000011000011 (base 2) in base 10?\nAnswer: 8387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:28 PM and 3:24 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 38 + 6 + 24 - 89.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12*(-695)\/834*9\/(-40)*8.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2379, 4735, 7091?\nAnswer: 9447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13626, 27154, 40680, 54204, 67726?\nAnswer: 81246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 4*c - 55 = 0, x + 4*c - 17 + 4 = 0. Let z = 12 + x. Let y(d) = -d**3 + 6*d**2 + 8*d - 7. Is y(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -444.94511748 and 0.5.\nAnswer: -444.44511748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 72 and 10696.\nAnswer: 96264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0041 to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 15147 and 243.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x - 3, 4*s + 3*x = 4*x + 23. Suppose 14 = s*n + 2*n. Differentiate -4*k**n + 1 + 4*k**2 - 6*k**4 wrt k.\nAnswer: -24*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14 - 29 + 5*n - 6*n.\nAnswer: -n - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*g**2 - 2*g + 2*g**2 + 2*g.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -31985478 divided by -4569354?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-11 - -5) + 405 - -7?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 58291 and 1207.\nAnswer: 990947","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 97*x**2 - 16*x**2 - 82*x**2. Let u(i) = -6904*i**2. Calculate d(u(c)).\nAnswer: -47665216*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**3 + 3*m**2 + 8*m + 22. Let u be y(-3). Sort 0, -8, u.\nAnswer: -8, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nsnsnuonou. What is prob of picking 3 n?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-370)\/(-2405)*(-4 + 0 + -5 + -2)\nAnswer: -22\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 26507*g - 26476*g - 558 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 214 by -107.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 19*f - 28 + 9 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.2 - 0.5. Let l be (-3)\/12 - (89\/(-20) - -4). Which is the third biggest value?  (a) l  (b) k  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(228) + (sqrt(228) - (sqrt(228) + sqrt(228)*-2)*3) + sqrt(228) + sqrt(228))\/(sqrt(60)\/(sqrt(5) + -2*sqrt(5))))**2.\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7320 = 102*s + 176*s + 148*s - 306*s for s.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x**3 - 5*x**2 + x. Let k(d) = -2*d**3 + 80*d**2 + 3*d - 124. Let a be k(40). Let p(w) = 101 + w - 2*w**3 - 101 - 4*w**2. What is a*i(z) + 5*p(z)?\nAnswer: -6*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that 4*u**3\/3 + 40*u**2\/3 - 268*u - 2520 = 0.\nAnswer: -15, -9, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -4*r - 10. Calculate j(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v, 1 m, and 1 l when four letters picked without replacement from mvvmvmlmwm.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 2952, 2948, 2940, 2928, 2912, 2892?\n\"Answer: -2*s**2 + 2*s + 2952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8 + 12. Suppose 3*q - t - 17 = 0, h*t - 12 = -q - 2. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5590451 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 1, 438, 5 in increasing order.\nAnswer: 1, 4, 5, 438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is (-947)\/(-16)*1202 - (2325\/120 - 19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1576893 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by -15.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = -5*q + 4*p, -13 = -4*q + 2*p - 9 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7198*b + 10841 - 65296 = -198626 - 172541 for b.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 28458 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w - 7*w + 2*w)*(-2*w**3 - 2*w**3 + 2*w**3)*(-2*w - 3*w + 7*w).\nAnswer: 12*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2222907?\nAnswer: 3, 740969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1267 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 - (-3 - (-12 - -4)) - 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 138, 9, -377 in increasing order.\nAnswer: -377, 9, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 minus -0.03714924953981?\nAnswer: -4.96285075046019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 4*o = -8, 0*z + 5*o + 33 = 2*z. Put 3, z, -4\/3 in decreasing order.\nAnswer: z, 3, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 72407 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9 - 6. Suppose i + i = -x - g, -15 = 3*x. Suppose 0 = -2*t - 5 + i. Is t less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2*2 + (-65)\/(-15). Let w = 3 - 2. Let s = -53\/65 - -8\/13. What is the nearest to c in w, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4544521, -4544520, -4544519, -4544518, -4544517, -4544516?\nAnswer: -4544515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -21 + 49. Let n = -2 + g. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 561 - 2243\/4. What is the second smallest value in 3, h, 14, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -40, -2, -4, 7, 19, -3 in decreasing order.\nAnswer: 19, 7, -2, -3, -4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -8064 or -8021?\nAnswer: -8021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -2*-1*(0 - -22). Let f = -190 - -167. Let g = f + d. What is the highest common factor of g and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sqs when three letters picked without replacement from {s: 5, q: 3}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/5 of a gram in milligrams?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.23 + 0.33. Let d = -21.574 - -3.574. What is the third biggest value in t, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 73 = 100*z - 26 - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -100 divided by 1\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13.95 - 112.65. Let c = 145 + w. Let j = -11 + c. What is j rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*d - 6*d + 4*d)*(-d + 2*d - 3*d) + (-2*d - d + d)*(4*d + 2*d + d + (-2 + 2 + 5)*(5*d + d - 3*d) - 2*d + 2*d - d) to w + k*d**2 + f*d and give k.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/3087, 5, 14.29 in increasing order.\nAnswer: 2\/3087, 5, 14.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 10, l: 4}. Give prob of picking 2 r.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -27 or -28?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1440585 and 2835.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 1 - 1 - (6 - 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -32 + 73. Suppose -k*d + 38*d + 9 = 0. Suppose -5*p - 16 = -2*t, -5*p - d = -t - 0. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.012 - 2.312. Let q = -6.3 - v. What is the nearest to -0.2 in 3, 0.1, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44952*y + 136 = -44950*y - 16*l, 4*y = -5*l - 61 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 26061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1987.\nAnswer: 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 2*r**2 - 13*r + 9. Suppose 7*c - 3*c = 24. Let o be t(c). What is the second derivative of -3*h - 4*h + 2*h + 8*h**o wrt h?\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 81302799 to the power of 1\/3, to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**5*t)\/(t\/t**7))\/(t*t\/(t*t**(2\/3)*t))**(-25)*(t\/(t*t**(2\/9)))**(-3\/43)\/(t**1*t**1) assuming t is positive.\nAnswer: t**(-286\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5300 or 5299?\nAnswer: 5299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert c (base 15) to base 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1503*a - 14*a**2 - 175 + 1506*a + 594 - 63*a**2 wrt a.\nAnswer: -154*a + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*w**3 + 5*w**3 + 10*w**3 - 28*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 7*t**2 + 15*t + 8. Let x be 425\/102 + 15\/18. Let v(q) = 12*q**2 + 30*q + 18. Let m(n) = x*u(n) - 3*v(n). Factor m(y).\nAnswer: -(y + 1)*(y + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 525*q**2. Let r(d) = -12*d**2. Calculate r(y(u)).\nAnswer: -3307500*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence od when two letters picked without replacement from odddodou.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*o**2 - 185540*o + 927575.\nAnswer: 5*(o - 37103)*(o - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5183 and 13095737.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2438 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 3698*v - 48071. Determine c(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9)\/6*(-132)\/99?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 11792973 and 222.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -411  (b) 5  (c) 0  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 13) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.256 times -3\nAnswer: -0.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iliillifiliifwiifiii. Give prob of sequence wf.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 53983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4 - -610571?\nAnswer: 610565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-six fifths of a microgram in nanograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes before 4:20 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 0*a + l - 1 = 0, -2*a + 4*l = 10. Suppose 3*b + 3*y = y + 351, -2*y = -a*b + 339. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(11) + 1)*-2)**2.\nAnswer: 8*sqrt(11) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 503297263 to the nearest integer?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -757 + 759. Let h = 0.1 - 0.1. Let g = 2.1 + -2.3. Which is the biggest value?  (a) g  (b) h  (c) 1  (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -74 in -1\/5, 5, 3, -1, -0.5, -12.29?\nAnswer: -12.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (13 - 24 - -12) + 0 + -15?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the first derivative of n**4\/4 + 7*n**3 + 12*n**2 - 29*n - 23. What are the prime factors of s(-19)?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4*((-561)\/(-1309))\/(24\/322)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rl when two letters picked without replacement from {r: 3, l: 12}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15, -66, -145, -246, -363, -490, -621?\nAnswer: -750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -3481519*k**2. Let y(w) = 5*w. Give y(g(f)).\nAnswer: -17407595*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/765 and -107\/70?\nAnswer: 10710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6718 - 6694. Solve -821*w = -825*w - j for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -73519, -148514, -223511, -298510?\n\"Answer: -c**2 - 74992*c + 1474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8354311?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2585299768?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 105*t**2 + 1434*t - 117. Determine l(-14).\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 11278520 divided by -4\nAnswer: -2819630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 15349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 22980189469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 - 23 = -2*g + 4*w, -4*g - 4*w = -4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2486 + -2536. Let o(g) = -g + 8. Let q be o(0). Does 2 divide 375\/h*(0 + q\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 33*q + 2. Let p(f) = 33*f + 3. Suppose 3*z = -3*b - 18, -5*z - 4*b - 9 - 19 = 0. Let a(r) = z*p(r) + 5*s(r). Differentiate a(u) with respect to u.\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = 15*v - 20*v + 368, 0 = 5*r - 3*v - 460. What is the highest common factor of 598 and r?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by -92190.\nAnswer: 1\/92190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*a + 3*a**2 - 220*a**3 + 226*a**3 - 5*a - 21 as x + j*a**3 + m*a**2 + l*a and give x.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*a - 4492 = -4477. Solve 13 = -7*x + 8*x + 5*m, m - a = -x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from kuuukukkkkukkuuk.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 293793431 by 4.\nAnswer: 293793431\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(30)\/(sqrt(18)\/sqrt(3)) - 2*(sqrt(20) + sqrt(5)))**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 9*w**2 + 257*w + 1396. Give f(-7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -4*1\/(-2) - -1. Suppose 0 = -r*n + 37 + 5. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l + 0*l + 3*l)*(2*l - 5*l + 4*l) - 1128 - 5*l - 2*l - 2*l**2 + 1113.\nAnswer: -l**2 - 7*l - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/((o\/(o**(-2\/21)*o))\/o))**10*o\/((o*(o*o*o*(o*o\/(o*o**(-6)\/o*o))\/o)\/o*o)\/o*o)*(o**(-22)*o)\/o assuming o is positive.\nAnswer: o**(-251\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = l - c + 3, 1035*l - 5*c + 19 = 1034*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -24 + 28. Let w = 7 - 4. Suppose -2*o + a = -w*a - 16, -5*o = -a - 4. Sort l, -4, o.\nAnswer: -4, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 161381019 to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -4241998, -8483998, -12725998, -16967998?\n\"Answer: -4242000*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 108 = f, x - 1 = -3*f + 26. Let n = x + -22. Let w = 142 - 136. Solve 2*g = n*l + w*g + 7, 0 = -2*g - 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 11, -4\/7, -5, 400, 0.3 in descending order.\nAnswer: 400, 11, 0.3, -4\/7, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (34*t + 302 - 302)*(2*t + 0 + 0 + (-1 - 5 + 4)*(-1 + 1 - t) - 5*t + 4*t + 3*t).\nAnswer: 204*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Are 32437410 and 32437412 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -180132 less than or equal to -180211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 4*j**2 - 4*j**2 + 5*j**2. Let b(a) be the first derivative of a**4\/12 + 9*a + 9. Let p(i) be the first derivative of b(i). Give l(p(m)).\nAnswer: 5*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:09 PM and 5:30 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 + -5.4. Let u = 137 - 135. What is the biggest value in u, z, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -32875 (base 9) to base 14\nAnswer: -7d73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80 = -0*i - 4*i. Suppose 0 = -0*j - j. Suppose 5*o + t = -3*t + 12, j = -3*o + 4*t + i. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 21, 129, 427, 1011, 1977, 3421, 5439, 8127?\n\"Answer: 16*n**3 - n**2 - n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -5  (b) -0.06  (c) 4  (d) 10\/17  (e) -1\/6  (f) 55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 4, -4\/5, 454, -4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the first derivative of 103*o**3\/3 + 6*o**2 + 22*o - 62. What is the tens digit of c(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a + 4. Let z be (-2)\/6*(-11 - 1). Suppose -z*d - 9 = -21. Let w be -2 + d + 1 - 7. Give f(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**(-2)\/x*x)\/(x*(x\/(x**6*x))\/x)*x**6\/(x*x**(2\/13)))**(-1\/25) assuming x is positive.\nAnswer: x**(-128\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16 (base 11) to base 10.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 7*h**2 - 7*h + 3. Let i(a) = -a**3 - 6*a**2 + 6*a - 2. Let s(q) = -4*g(q) - 5*i(q). Let j(x) = 11*x**3 + 5*x**2 - 5*x - 5. Give -2*j(o) + 5*s(o).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:25 AM and 2:43 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b*b\/b**6*b*b*b*b**(-14)*b*b*b*b**12\/b**14 assuming b is positive.\nAnswer: b**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -24258  (b) 1.4  (c) 0.1  (d) -5  (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 6, 2597, -4, 2 in ascending order.\nAnswer: -4, -2, 2, 6, 2597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 - (4 - 9) - 10 - 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q**2 - 88*q - 87 = 0. Calculate q.\nAnswer: -87, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -34 and 3.66.\nAnswer: -124.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-356)\/(-465) + 3\/(-9). Let t = m - 1\/31. Let f be 7 + -5 + (-3)\/1. Which is smaller: t or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 197 minutes after 12:59 AM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 15a0a11 + 1?\nAnswer: 15a0a12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 883*h**2 - 235*h**2 + 1979 - 728*h**2 - 534*h**2 - 604*h**2 wrt h.\nAnswer: -2436*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 371061.\nAnswer: 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -17537 - -17529.8359. Round v to one decimal place.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 2) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -121 + 126. Suppose -3*g = 3*j - 321, 0 = -4*j + j + y*g + 345. Let w = 6 + 4. Calculate the greatest common divisor of j and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -82*k + 84*k. Let f be -3*2\/(-6) + 1. Let n = k - f. Solve 4 = -5*y - n*b, y + 0*b = 5*b + 16 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1590?\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i + 5*i - 117. Suppose p - 4*p - i = -l, -4*p = 2*l - 88. Calculate the greatest common factor of 14 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -194421 + 194421 + 17*g.\nAnswer: 17*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4 + 6. Suppose 2*b + r*h = 68, 135 + 22 = 4*b - 3*h. Suppose -b = -5*c + 13. Calculate the remainder when c is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.439*-15.4\nAnswer: 6.7606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2529?  (a) -3  (b) -2\/33  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence efq when three letters picked without replacement from qfqfqqfqqqfqqeqqqqqf?\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the third derivative of -31*y**4\/12 - 22*y**3\/3 - y**2 - 7. What is the hundreds digit of p(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -131 + -101?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 - 1. Suppose 2*x - c + 0 = 0. Suppose -5 = -u + x. What is the greatest common factor of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (404 + 185 - 117)*(1 + m - 3*m + 4*m).\nAnswer: 944*m + 472","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 90311?\nAnswer: 13, 6947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -75*o**4 + 5202*o**3*t + 2*o - 1678*t + 167 with respect to o.\nAnswer: -300*o**3 + 15606*o**2*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -376, -351, -288, -169, 24, 309, 704?\n\"Answer: 3*t**3 + t**2 + t - 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-697)\/(-17)*((-306)\/17)\/(-90).\nAnswer: 41\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10202 divided by 10972.\nAnswer: 5101\/5486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:16 AM and 10:50 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*w + 4*w - w**2 + 126230 + 49*w**3 - 126232 + (2 - 3 + 8)*(-7*w**3 + 2*w**3 + 3*w**3).\nAnswer: 35*w**3 - w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3090)\/(-4185) - 6\/27) + (-2)\/(-4) + -1?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (1306*(-10)\/4)\/((-25)\/25)?\nAnswer: 5, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 126 and 2070.\nAnswer: 14490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 1917 = 4*c + 735, -5*x = -10. What is the second derivative of c*i**5 + 4*i - 283*i**5 + 2*i wrt i?\nAnswer: 240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/m**(2\/5))**(-2\/7))**(2\/5) assuming m is positive.\nAnswer: m**(-12\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f + 43 + 29. Suppose 5*k = 88 - f. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = 3*x - 5. Let q = -0.1029 - -4.1029. What is the smallest value in q, x, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(2\/3)*p*p)**(-1)\/(p**(1\/2)*p)**(-29)*(p*p**3*p*p*p)\/(p*p**(5\/4))*p**1*p*p\/((p\/((p*p*p\/(p*(p*p\/p**(-3)*p)\/p))\/p))\/p) assuming p is positive.\nAnswer: p**(535\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 350 is divided by 84?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 3*p - 20 = 0. Let q be (-1 - 1) + 0 + p. Suppose q*d - 2*j = 4*d - 10, 5*d - 5*j = -25. Solve 4*h + 28 = 4*k, -4*h + 3*k - 24 = -d*k for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7, 7, -9, -47, -113, -213, -353?\nAnswer: -539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/112276694 and -34\/1529?\nAnswer: 1235043634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes after 7:16 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 188819 to the nearest one thousand.\nAnswer: 189000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 25*s**2 - 2*s + 1. Give n(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from owfoosofxxohwxf. Give prob of picking 1 w and 1 h.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:11 PM and 4:41 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 24 + -17. Suppose o + s - 22 = 3*y, -3*o = -3*y - 27. Let w be (o\/4)\/(5 - 11). Sort 2\/11, -1, w.\nAnswer: -1, w, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sqnl when four letters picked without replacement from {s: 2, e: 2, l: 1, f: 1, q: 1, n: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 267, 528, 789, 1050, 1311, 1572?\n\"Answer: 261*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 76211*b - 152472. What is u(2)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5437, -10839, -16285, -21775, -27309?\nAnswer: -32887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {l: 6, d: 6, x: 2, u: 4}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000012814709 to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 4025246129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) be the first derivative of -w**6\/45 + 14*w**5\/75 - 19*w**4\/30 + 10*w**3\/9 - 16*w**2\/15 + 8*w\/15 + 6. Factor j(k).\nAnswer: -2*(k - 2)**2*(k - 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-40)\/(-6) - 4\/6. Let l(c) = c**3 - 7*c**2 + 7*c + 6. Calculate the remainder when 22 + -2 + 1 - -1 is divided by l(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 34590 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f**3 + 5*f**2 + 2*f + 3. Let k be v(5). Suppose -3*h = -7 + k. Is 110 - (1 - (4 + h)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the second derivative of y**3\/6 + y**2\/2 - 2*y. Let i = -2 - 2. Let b(p) = -p**2 - p. Let h(w) = i*c(w) + b(w). Determine h(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -273, -2121, -7135, -16899, -32997?\nAnswer: -57013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 + 2 - -3) + -2 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 3*y. Let t = 6 + -3. Suppose 2*v - 6 = 4. Let z(f) = 2*f - t*f - 5*f + v*f. Determine z(s(u)).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 316120182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b**2 + b. Let k(o) = -o**2 + 93 + 5*o - 4*o + 4*o**2 - 51 - 45. Determine k(l) + 5*q(l).\nAnswer: -2*l**2 + 6*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1837 is divided by 1690.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2 + (0 - (-2)\/2). Let o(q) = 4*q. Let j be o(5). Let t be 16\/(-40) - (-13)\/j. Is v > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-4)\/(-2) + 0)*1. Suppose 0 = -2*v - 3*p + 54, -w*v = -0*p - 2*p - 34. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(f*f*f**(-10)))\/((f*f*f*(f**(-9)*f)\/f*f)\/f))**(-11\/5)\/((f**(-1)*f\/(f*(f**(-1)*f)\/f))\/((f\/(f*f**(2\/5)))\/(f*f**(3\/2)))) assuming f is positive.\nAnswer: f**(-359\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Do -61 and 370025 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 110 - 110 - 1180999*w.\nAnswer: -1180999*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 4555 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 122 - 40. Round s to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*v**2 - 32*v + 56*v - 76*v - 80*v to the form j + i*v + m*v**2 and give i.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c + 5*c + v + 10 = 0, 4*c + 4 = 2*v for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixteenth of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the third derivative of -29*c**4\/24 + 3*c**2 + 17*c. Let t(k) = -2*k. Determine l(t(w)).\nAnswer: 58*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16\/(-10)*(-11)\/((-99)\/45).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 65*b - 45*b - 100 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes after 1:46 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1973275\/116 - 17011. What is the third biggest value in 5, -1\/2, q, -1\/14, 2\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 32\/7 of a week?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1159, -1157, -1155, -1153, -1151, -1149?\nAnswer: -1147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*m - 23*m + 16*m + 3 - 2*m**2 in the form a + x*m + d*m**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1086 and 1129031121.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -34*c. Let z(p) be the first derivative of p**6\/90 + 4*p**3 + p**2\/2 + 109. Let a(i) be the third derivative of z(i). Determine s(a(u)).\nAnswer: -136*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:56 AM and 1:07 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x**3 + 10*x**2 + 2*x - 15. Let l be a(10). Suppose 0 = -2*s + 5*s - 3. Let p(n) = -6*n**3 + n - 1. Let j be p(s). Put l, j, -3 in increasing order.\nAnswer: j, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -422*b*k - 5*b + 118603*k**2 + 2*k - 61109758 with respect to k.\nAnswer: -422*b + 237206*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j*j**(-10)*j\/j**2)\/((j\/(j**2*j))\/j*j*j\/(j\/(j*j*j**9\/j*j*j))) assuming j is positive.\nAnswer: j**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {x: 3, s: 12}?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) 1\/5  (b) -1\/6  (c) -5090\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 99\/16 and (6*10\/(-56))\/((-24)\/(-84)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwvwvwwlwvwwwlzlwv. What is prob of sequence lvzv?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1045645 divided by 1283.\nAnswer: -815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 85 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v - 12*q + 6*q + 28 + 18 = 0, v = -q + 1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -145aa (base 12) in base 11?\nAnswer: -1a458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = 5*i. Let y be -1 + i - 24\/(-60). Which is the closest to -3?  (a) 1  (b) -1  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -3240410, -6480819, -9721228, -12961637, -16202046?\n\"Answer: -3240409*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 29*(-114)\/(-3857) + (-12)\/14\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-52)\/(-195)*-25*3\/2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 23 + -22. Let d(v) = 255*v + 31. What are the prime factors of d(b)?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -7*g + 4 + 7*g**2 + 5*g + g**3 - 6*g. Let o be c(-8). Let a(q) = q**2 - q + 3. Is a(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -5, 279, 0 in decreasing order.\nAnswer: 279, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*f + 3*f + 2*f + (-62*f - 13*f + 12*f)*(0 + 5 - 3)*(2 - 1 - 4).\nAnswer: 381*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.24, -3\/5, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2683 - q - 880 - 915 - 888.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*o**3 - 1540*o**2 - 83945*o + 1490790.\nAnswer: -5*(o - 14)*(o + 93)*(o + 229)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 6*h**2 + 8*h + 7. Let u be -6 - -5 - (-2)\/(-3 + 1). Let g be f(u). Solve -3*m = 3*k - g, 3*k - 11 = -4*m + 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**3 + k**2 - 25. What is t(0)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 4811 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a second in milliseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1397256193 and -324.2.\nAnswer: 1397255868.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -8608868 or -8608867?\nAnswer: -8608867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-w + 4*w - 2*w)*(2 - 3*w - 2) - 4*w**2 - w**2 + 3*w**2 + 4*w**2 - 3*w**2 + 2*w**2)*(-16 + 2 - 22) to the form u + o*w**2 + v*w and give o.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -50149*p - 8124134. Give l(-162).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 40 and 24919200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/3  (b) -343\/32  (c) -2\/9  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -25 + 30. Suppose -896 = o*y - 7*y. Suppose -4*h = -y - 148. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = 4*n + 40. Let v(d) = 3*d + d - 1 + 7*d - 12*d + 0*d. What is v(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8403, 3, 0.1.\nAnswer: -8403, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(2057) + -2*sqrt(2057)) + sqrt(2057) + 1.\nAnswer: 1 + 77*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2\/4)\/((-2)\/(-60)). Let n be (4\/o)\/(53\/(-10) + 5). Which is the third smallest value?  (a) 1  (b) -2  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 1 - 2 + 0*p - 36900003*p**3 + 2*p - 3*p + p**2. Let d be x(-1). Suppose -q + 6*m = 2*m + 12300016, m = 3*q + d. Round q to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -3 - 14*(-1)\/2. Let h be 2\/6*(4 - x). Suppose 24 = 3*p - h*p. Calculate the least common multiple of 24 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 take away 24635426.828?\nAnswer: -24635441.828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 2*b**2 + 5*b + 5. Calculate j(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -3268922.2 from -0.7.\nAnswer: 3268921.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 933.983m?\nAnswer: 933983000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 8, s: 7, d: 5}. Give prob of sequence ds.\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -265*z = -272*z + 21 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2485 + 7692. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -98*q = -3*j + 9203, -103 = 3768*q - 3767*q + 3*j for q.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3661 = -134091*q + 134188*q - 654 for q.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 212250?\nAnswer: 2, 3, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 101 - 11 + 17*g**2 - 28*g - 15*g**2 + 8.\nAnswer: 2*(g - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g + 25*l - 29*l = 0, 5*l = -6*g + 9 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2348, 8723, 19118, 33533, 51968?\nAnswer: 74423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*t**2 - 13*t - 108*t**3 - 12*t + 103*t**3 + 5 - 4 to the form o + p*t + j*t**3 + x*t**2 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x - 2*p - 2 = 1, -x = -p + 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4138 and -256.78?\nAnswer: -1062555.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*i = -21*i. Suppose i = 8*q + 3*q + 374. Let f = -30 - q. Solve 3*u - f + 1 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -161 + 161.195. Let p = q - -4.805. Put -0.02, -0.5, p in ascending order.\nAnswer: -0.5, -0.02, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 225547201 to the nearest integer?\nAnswer: 15018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -110*k*r**3*y + 2*k*r**3 + 202381*k*r + r**3 - 87*y with respect to y.\nAnswer: -110*k*r**3 - 87","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3484 a factor of 468740844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w**3 - 11*w**2 + 10*w + 4. Let t be 72\/16 + 6 + (-21)\/14. Calculate a(t).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -38*r + 70. Let i be l(2). Put -3, 0, i, 6 in decreasing order.\nAnswer: 6, 0, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the first derivative of 0*f + 8 + 1\/2*f**2 - 10\/3*f**3. What is the second derivative of q(s) wrt s?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a + 2*a**2 + 0*a)*(-3*a - 2*a + 2*a) - 3*a**3 + a**3 + 3*a**3 - 4*a**3 - 3*a**3 + 5*a**3.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 25 and 3905890.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -105 greater than -7690\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(63) + -2 + sqrt(7) - sqrt(84)\/sqrt(48))*3.\nAnswer: -21*sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 2 * -4.6582\nAnswer: -9.3164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -680*p + 686*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 15 - (0 - (4 - 10) - -3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - l + 399 + 134 = 0, 807 = 3*m + 3*l. Suppose m = 21*w + 3*w. Solve 0*f - 11*f = -w for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 54456342 (base 7) to base 9\nAnswer: 8706653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 286\/(-66) - 1 - -7. Let t = -6 + 17\/3. Sort t, u, 4 in increasing order.\nAnswer: t, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u - 5. Let v be a(4). Let o(s) = -5*s + 7. Let g(l) = 4*l - 8. Suppose 5*z + 8 = 3*y + 53, z + 19 = -5*y. Let j(k) = z*g(k) + 7*o(k). What is j(v)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 24181277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23 - (1\/4)\/((-390)\/73320).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in 5, 73\/6, 167?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (((-3)\/(-21))\/((-16)\/112))\/(3\/93)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -o - 60756 + 60756.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 5*d - 8. Let z(f) be the second derivative of 9*f - 1\/2*f**2 + 0. Let o(l) = q(l) - 2*z(l). Find the first derivative of o(b) wrt b.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00030436078 to six dps.\nAnswer: 0.000304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 52875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 43 - (1 + -7 + 44).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (12\/30)\/((-2)\/(-350)). Suppose -59 = 22*v - 367. Calculate the greatest common factor of l and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -24 + 27. Factor 0*a**2 + 0 + 2\/3*a**z + 0*a + 0*a**4 - 2\/3*a**5.\nAnswer: -2*a**3*(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*o**2*w - 35*o**2*x - 2*o**2 + 4688557*w*x - 21505*x wrt w.\nAnswer: 2*o**2 + 4688557*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15*i**2 + 2*i - i + 8*i**2)*(3 + 2*i - 3*i + 1) - 5*i + 5*i - i**3 + (i**2 - i**2 - i**3)*(-3 + 2 + 3).\nAnswer: 4*i**3 - 29*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -100212220020210 + -1?\nAnswer: -100212220020211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 104690 is divided by 8667.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -6*z**3 - 8*z**2 + 16*z - 8. Let w(v) = 2*v**3 + 3*v**2 - 5*v + 3. Let j(a) = 3*m(a) + 8*w(a). Let f(c) = -c**3 + 3*c. Determine 8*f(g) - 3*j(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 3 = -5*s + 4*s, -4*b + 15 = -5*s. Let z(o) = 4*o - 3. Let n be z(1). Let y be 116\/29 - 1\/n. Solve b = 4*i + y*m + 25, -i - 8 = 4*i - 4*m for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 38\/14 + 12\/42. Suppose -l*z = 2*a - 48, 4*a + 0*z - 76 = -z. What is the lowest common multiple of a and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/(-38) - 931\/(-1444). What is the nearest to 2\/7 in k, 1\/2, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 482734 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 4*a - 22. Let s be y(11). Let r = s - -18. Calculate the greatest common divisor of 320 and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-1*sqrt(44) + 0)**2 + (sqrt(528) + -3*sqrt(528) + sqrt(528))\/sqrt(12) + (sqrt(264) + 1*(sqrt(264) + sqrt(264)*1) + sqrt(264))\/(2*sqrt(54)).\nAnswer: -2*sqrt(11)\/3 + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -5307949 or -5307951?\nAnswer: -5307949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -29 - b2c2b7?\nAnswer: -b2c302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, 12, -31\/520, -28?\nAnswer: -31\/520","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d = 5*m - 5, 4*m - 413*d + 411*d - 28 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 4\/12 - 26\/6\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 20.631 or 0?\nAnswer: 20.631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 10 = 7*j. Let u(a) = 4*a**3 - a**2 - 4*a + 6. Let h be u(j). Suppose -30 = -4*f - h. Solve k = f + 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 k when two letters picked without replacement from {s: 1, k: 3, x: 1, q: 1, e: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*n - 3*n + 0*n + (-2*n + 4*n - n)*(0 + 3 - 5) + 0*n - n - n - n - n + n + (n + 0*n - 3*n)*(-5 + 1 - 7).\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 44 = -4*d, -d + 5*d + 62 = -2*f. Let o be 22\/63 + d\/(-63). Sort 0.1, o, -1\/6 in ascending order.\nAnswer: -1\/6, 0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 + -1833274167611.\nAnswer: -1833274167608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -67471.375 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the second derivative of -3*q**3\/2 - 3*q**2 - 86*q + 16. Let x(c) = -3*c - 3. Let m be x(-2). Let u(y) = -8*y - 5. What is m*k(j) - 4*u(j)?\nAnswer: 5*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 4*f + 3. Let a(z) be the second derivative of 3*z**3\/2 + 5*z**2\/2 + 12*z. Let h(v) = 4*a(v) - 10*n(v). What is the tens digit of h(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 - -3. Let d = 6 - 3. Which is the nearest to 0.1?  (a) d  (b) n  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = 3*o + 8. Let q be o\/20 - (-132)\/305. Which is bigger: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6576 is divided by 153?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r**2 + r**4 + 0*r**2 + (11*r**3 - r**4 - 11*r**3)*(3 - 3 - 1))*(-2 - 1 + 5).\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ld when two letters picked without replacement from ddddddllldadddlllddl?\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h - 192 = -4*h. Let r = h + -9. Suppose 4*k - 86 = -2*t, -2*k = -0*t - 3*t - r. Does 21 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (490\/(-15))\/(((2\/11)\/(-1))\/(849\/(-3113)))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 84*f**2*k*s**2 - f**2*k*s - 2*f*k*s + f*k + k*s**2 - 5 wrt s?\nAnswer: 168*f**2*k + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/4*c**3 + 17\/4*c + 0 + 9\/2*c**2.\nAnswer: c*(c + 1)*(c + 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -2*y**3 - 12*y**2 + 20*y + 7. Let h be g(-10). Differentiate -5*m - 60 - 5*m + 611*m**3 - h*m**3 with respect to m.\nAnswer: 12*m**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3432915 years to decades.\nAnswer: 0.03432915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*y**2 + 18946*y - y**2 - 18935*y)*(3*y**2 - y**2 - 4*y**2).\nAnswer: -6*y**4 - 22*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1 + 2 - (1 - 0). Let y(z) = -42*z**2 - z - 3*z + 3*z. Let l be y(o). Round l to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1595 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*h - 8*h = 45. Suppose 0 = 2*b - 3*m + 6*m - 15, 3*b + h = 3*m. Solve 4 = 4*q - 0, b = -n + 4*q for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q. Let g(a) = 1 - 1 - 2 - 1. Let x(d) = -2*g(d) + 2*i(d). Differentiate x(t) with respect to t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2 - -6)*(-135)\/(-180). Put 2, -3\/2, 0.36, y in ascending order.\nAnswer: -3\/2, 0.36, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 376 is divided by 37.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 46\/(-5) + 1\/5. Let m(l) = -3*l + 17. Let g be m(z). Suppose 0*c = -2*c + g. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 3829, 15303, 34425, 61195, 95613?\n\"Answer: 3824*j**2 + 2*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 101 = 3*m, -m + 8*z = 6*z - 27. Let u = m + -57. Let r(v) = 3*v + 68. Let j be r(u). Solve 0 = -f + j for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6068*j**2 + 6067*j**2 - 12144*j**2.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 21 = -r + c, 0 = -2*r + 5*c + 30. Suppose -r*t + 20 = -0*t. Solve -5*b**2 + t*b - 2*b**2 - 4*b**4 + 7*b**4 + b**3 - b**2 = 0 for b.\nAnswer: -2, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44626609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -10, -28, -38, -40, -34?\n\"Answer: 4*p**2 - 30*p + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**2\/7 - 75427084*i\/7 + 711155625092882\/7.\nAnswer: 2*(i - 18856771)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -615*o + 587*o = 252 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j = -3*j + 2*v + 275, -v = -4*j + 365. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -24*g. Let f be j(-1). Suppose 2*d = -2*d + f. Find the common denominator of (2\/d)\/(10\/(-85)) and -13\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(170) + -6*sqrt(170)*-2)\/sqrt(10) + -1)**2 + -5 + 0 + (1*sqrt(1088) - sqrt(1088)).\nAnswer: -26*sqrt(17) + 2869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:13 AM and 11:46 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -72094575*a**3*h**2 + 6677690*a**2*h**2 - a**2 - 12*a*h wrt a?\nAnswer: -432567450*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 668 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 31.048 to zero decimal places.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1566 - -14057\/9. Suppose 0 = 4*m - 5*m - 2528. Let h = m - -27827\/11. What is the common denominator of w and h?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-63)\/(-7) - ((-1700)\/(-90) - 7) and -89\/906?\nAnswer: 2718","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(7) + 1 - sqrt(7)) - 2*(sqrt(7) - sqrt(28)))**2.\nAnswer: 24*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 44800.94ng in grams?\nAnswer: 0.00004480094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 3*d - 4. Suppose 17 = 3*m + 11. Let y be t(m). Solve -j + 2 = -5*h + 5, -j + 4*h = y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 28 + -37. Let l be 8 + (1 - t\/(-3)) - -2. Suppose 14*z - 16*z + 24 = 0. Calculate the greatest common divisor of l and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 2*m + 5*m = 1053, 0 = p - 3*m - 252. Suppose 3*a + f = 3*f + p, 2*f - 6 = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*v**3 + 2*v + 3*v + 5*v - 3*v**3 - 9*v**3.\nAnswer: -5*v**3 + 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 31792848 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 minutes after 1:09 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 137 - 75. Let k = 125 - b. Suppose 4*d - 1 - k = 0. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 2 f, and 1 e when four letters picked without replacement from ffqfesfsssfqqtsfsq?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 132302 (base 8) to base 10.\nAnswer: 46274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5659029*g**2 + g - 15676850 wrt g?\nAnswer: 11318058*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-9) + (-7844)\/666)*9\/(-2)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m + k - 12941, -133*m = -134*m - k + 4313. What are the prime factors of m?\nAnswer: 2, 3, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 90037.37 years?\nAnswer: 90.03737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**3 - 10*w**2 - 14*w + 6. What is o(11)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1615283\/100 - -16152. Find the common denominator of b and 97\/30.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -57101, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 15) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 388200 rounded to the nearest ten thousand?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 7*h - 6. Let j be u(9). Let p = j - 283\/5. Which is the third smallest value?  (a) -3\/8  (b) p  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, a: 3, r: 2, t: 5, g: 1}. Give prob of picking 1 r and 1 p.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 158808 is divided by 893.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -956216.2 + -310.8454.\nAnswer: -956527.0454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(34))\/sqrt(2) + -2 + sqrt(1377))**2 - ((-3*sqrt(272) + 0 + sqrt(272))**2 - sqrt(272)).\nAnswer: -28*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i**(-2)*i)\/i)**(-2\/3)*i**8\/(i\/(i\/i**(-1\/10))) assuming i is positive.\nAnswer: i**(263\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {u: 9, t: 5}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 20 = c, -4*c + 4 = 5*x - 4*x. Suppose -19*s = -14*s. Suppose x*m - 3*m = w - 30, s = -2*w + 3*m + 63. Find the common denominator of w and 79\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -254 by 5.\nAnswer: -254\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 9 and 34.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 202*1*(0 + 8\/(-16)). Let i = w + 135. Calculate the highest common divisor of 153 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 4 + 43)*(-2 - 3 - 1)*(-2*r - 2*r - 3*r).\nAnswer: 1428*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h*h**(-1)))**(-37)\/(h*h*h**4*h\/(h**(-7)*h)) assuming h is positive.\nAnswer: h**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5209*q + 2741*q + 2282*q**2 - 4*q**3 - 2281*q**2.\nAnswer: -4*q**3 + q**2 + 7950*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-36)\/m)\/m)\/(m**(-2\/75)\/m*m*m)*(m**11\/m)**(11\/3) assuming m is positive.\nAnswer: m**(-173\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Add 24884.823 and -19.745.\nAnswer: 24865.078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, 1\/7, -1.4273?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 2*w**2. Let o(s) = -1134*s**2 + 1753*s**2 - 1310*s**2. Give o(i(l)).\nAnswer: -2764*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f - 1. Let s be g(-18). Let a(b) = 3*b - 2. Let l(d) = -9*d + 6. Calculate s*a(r) + 6*l(r).\nAnswer: -3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*z - 10*z + 38*z)*(-z - 24*z + z).\nAnswer: -792*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*z**4 - 3 - 3*z + 1 - z**3 + 2*z**4 - 4*z**4 as a*z**3 + n + g*z + h*z**4 + d*z**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.566 and 62148?\nAnswer: 62147.434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-1)*y)**(1\/13))**29 assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the third derivative of -73*z**7\/105 - z**5\/15 + 193*z**4\/12 + 3235*z**2. What is the second derivative of a(u) wrt u?\nAnswer: -1752*u**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 609, 2565, 5845, 10449, 16377?\nAnswer: 23629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3.5 - -3. Let i = -0.055 + 0.038. Let k = 0.033 - i. What is the second biggest value in l, -0.2, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1.4, -2\/19, 61 in ascending order.\nAnswer: -1.4, -2\/19, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1130 - 6162?\nAnswer: -7292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(528)\/sqrt(176) + -1*(-2 + sqrt(3)) + (sqrt(21)\/(-2*sqrt(7)) - sqrt(3)).\nAnswer: -3*sqrt(3)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 29152 and 541952.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 6*z - 1. Let c be i(1). Let w = 3349 + -3339. Put c, 2, w in increasing order.\nAnswer: 2, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -434 by 7.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -79, -68, -49, -22, 13, 56, 107?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -76757574 + 76757533.000033. Let z = q + 41. Round z to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the second derivative of p**5\/210 + p**4\/84 - 2*p**3\/21 - p**2\/2 - 2*p. Let r(o) be the first derivative of v(o). Factor r(y).\nAnswer: 2*(y - 1)*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -4*n + 2. Calculate the common denominator of 49\/2 and (-146)\/(-24) + n\/(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 10 = 5*i, 9*i - 624*n + 625*n - 26 = 0. Let m be (0\/(-3 - -2))\/2. Let s(p) = 2*p - 3. Let x be s(3). Solve -x*t = -4*d, -i*d = -m*t - t + 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -123 = -21*q + 22*q. Let y = 114 + q. Let h be 1\/((-2)\/(-12))*-2. Is y <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 5*u = -70, 3*h = -2*h - 3*u + 90. Calculate the remainder when 40 is divided by h*(2 - 1) - 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 0, -275, -15, 6, 1 in ascending order.\nAnswer: -275, -15, 0, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 704342650 rounded to the nearest 1000000?\nAnswer: 704000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (25 - (7 + -3)) + -7 + 9 + 4\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-3)\/(u\/(u\/u**13)))\/(u*u*(u*u**5)\/u*u)**(-4) assuming u is positive.\nAnswer: u**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6 + -3. Let v(l) = -4*l - 1. Let i be v(1). Suppose -14*m - 3 = -11*m. Sort i, m, d.\nAnswer: i, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -23 - 22 + f**3 + 59 + 13*f**2 + 13*f. Let p be g(-12). Suppose -r = -2*q + 2, -q + p*q = r - 1. Solve -r*a + 15 = a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 4*f**3 + 9*f**2 - 13. Let l(z) = -z**3 - 2*z**2 + 3. Let b(q) = -q**2 - 29*q - 2. Let u be b(-28). Calculate u*l(t) + 6*r(t).\nAnswer: -2*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*j + 2*z = 74, 0*j + 6*j - 6*z - 5*z + 10*z - 28 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 290 - (82 - -133) - (-46 - 1)\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8440229, -8440219, -8440209, -8440199?\nAnswer: -8440189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 75228, 150456, 225684, 300912?\n\"Answer: 75228*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = 5*r - 3170, 2*h + 150 = -2*r - 1134. Let b = -262 + h. Round b to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -81784 - -0.1771.\nAnswer: -81783.8229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 5*v + 40 = 0, -2*a - 4*v + 45 - 5 = 0. Suppose -a - 24 = -b. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -208 + 211. Solve -2*n - 4*z = -26, r*n - 5*z = -z - 1 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -22628*5\nAnswer: -113140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*t**4 - 44*t**2 + 4396671*t - 4396671*t + (-6*t**2 + t**2 + 4*t**2)*(-2*t - t**2 + 2*t) to the form d + y*t**4 + w*t**2 + m*t + k*t**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let z be -7*1*330\/(-35). Suppose -z - 68 = -2*x. Suppose -3*a = -3*r + 8*r - 91, 4*r = 5*a + 58. Calculate the remainder when x is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(1\/2))**(-8))**8\/((g*g*g\/(g**(5\/3)*g))\/((g\/(g**1\/g))\/g)*(g**(2\/5))**(-28)) assuming g is positive.\nAnswer: g**(-317\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 2*a = -2 + 1, 0 = -2*v - a - 2. Sort -2, v, -3, -18 in increasing order.\nAnswer: -18, -3, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 0 - (4 + -8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 371 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 1042873178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -45 in 0.017, -0.4, 2\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -5 + 2 + (-2 - -9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*t**3 + 9*t**3 - 16*t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 3*((-6)\/(-6) + -3) - 77\/(-33)\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-31*i + 28*i - 49*i)*(1 + 4 - 7).\nAnswer: 104*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is j in 22*j**4 - 4*j**5 - 32*j**4 - 4*j**3 + 18*j**4 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4 - 7*d**2 - 4 - 6*d**6 + 0*d**2 wrt d.\nAnswer: -720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 54 - 38. Suppose -2*r = 4*m - 96, 4*r - 22*m + 25*m - 192 = 0. Calculate the highest common factor of r and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from izxmxmx. Give prob of picking 1 i and 2 x.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -246, -143, 1276 in ascending order.\nAnswer: -246, -143, 3, 1276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = 2*t - 2836821, 16*t + 2836800 = 5*q + 21*t. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*y**4 - 9*y**5 + 0*y**4 - y**4 - 2*y**5 + 2*y**5 + y**5 + (-2 - y**3 + 2)*(3*y**2 + 4*y**2 - 5*y**2).\nAnswer: -10*y**5 + y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a millennium in years?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 130 = -4. Suppose m + 88 = 5*k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = 4*d - 287893 - 706099, 3*j + 2*d + 1491044 = 0. What is j rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -488  (b) 2  (c) 0.03  (d) -0.1  (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z, 1 e, and 1 r when four letters picked without replacement from zerwwzwewsrusrs.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.26 + -0.16. Let c = 64 - 115. Let b = -72 - c. Which is greater: u or b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -2*z**2 - 27*z - 13. Let y be n(-13). Suppose -2*o + 5*d = -13, 2*d + y = -2. Solve -o*a = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzzzzzz. Give prob of picking 4 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17559 = 85*p - 18141. Calculate the smallest common multiple of p and 1204.\nAnswer: 18060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -3*((-1 - -2) + 0). Let u = z - -4. Let b(i) = 8*i. Let g(w) = w. Let l(a) = b(a) - 4*g(a). Calculate l(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**3 - j - 1. Let h be (-3)\/18 + (2\/18)\/(66\/693). Let m(f) = 41*f**3 - 3*f - 3. Determine h*m(v) - 3*t(v).\nAnswer: 38*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 244 and 712.\nAnswer: 43432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -0.13  (b) -0.2  (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 64917.\nAnswer: 3, 7213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -130 + 241. Let p = x + -103. Calculate the greatest common divisor of 104 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(171)\/(sqrt(9)\/sqrt(3)))\/((sqrt(24)\/sqrt(4))\/sqrt(2)) + 5*(0 + -6*sqrt(95)\/sqrt(5)))**2.\nAnswer: 15979","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-310)\/50 - (-2)\/10. Is (-81)\/6*20\/x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:07 PM and 5:42 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 572, 0.03, -0.24, 1\/4, -1\/4 in descending order.\nAnswer: 572, 5, 1\/4, 0.03, -0.24, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**3\/4 + 155*u**2\/4 - 1743*u\/4 + 3861\/4.\nAnswer: -(u - 143)*(u - 9)*(u - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -2681 divided by -13?\nAnswer: 2681\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r**5 + 8237*r**4 - 216274*r**3 + 1233292*r**2 - 2451570*r + 1426311 = 0. What is r?\nAnswer: -8341\/4, 1, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a hour in seconds?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 26\/6 - (52\/12 - 5). Suppose v*i - 1 = -5*k + 14, 5*i - 15 = -2*k. Solve -3*u + 1 - 4 = k for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.8  (b) 4  (c) -9155  (d) -0.5  (e) -7\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2914229780 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**2 + 25 - 11*b + 26*b + 21. Is 10 a factor of i(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p - 628 + 638. Let v(k) = -14099*k**2 + 35*k + 250. Let m be v(p). What is m rounded to the nearest 10000?\nAnswer: -1410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -6*g**2. Let k(d) be the second derivative of -13*d**4\/12 + d - 19. Determine -4*k(t) + 9*v(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 141 != -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 139.31 - 127.2988. Let k = 12 - d. Round k to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i**2 - 4*i - 1. Let s be u(-3). Suppose 0 = 4*r - 108 + 76. Calculate the highest common factor of r and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2976*f**3 - 204*f**3 - 229*f**3.\nAnswer: 2543*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10887*w - 10853*w + 1488 = -552 for w.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 1 = -1. Let i be (-9)\/1 - -2 - n. Let r be 6\/i*(-5)\/2. Solve -v + x = v - 2, r*v + x - 8 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.08 plus -272?\nAnswer: -276.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3, -0.3, 3.3, 0.52, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 89 + -89. Let v(p) = p**3 + 2*p**2 + p + 1. Let i be v(m). Suppose -3*y = -21 + 3. Sort y, i, 2.\nAnswer: i, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (3\/(-522))\/((-1)\/8). Let r be 1687\/(-10332)*-15*1\/(435\/(-6)). Let o = v + r. Is o greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -341444 - -105?\nAnswer: -341335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the first derivative of 256*b + 79 + 4\/3*b**3 + 32*b**2. Suppose q(h) = 0. What is h?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 14352179.94s?\nAnswer: 23.73045625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 960918*k**3 + k**2 - 18699*k - 7?\nAnswer: 5765508*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 418628 and 299020?\nAnswer: 2093140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 358544966 to the power of 1\/2, to the nearest integer?\nAnswer: 18935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1563 + -1566. Put -4, -37, 1, q in decreasing order.\nAnswer: 1, q, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*sqrt(68)*2 + (sqrt(68) - 1*(sqrt(68)*2)**2) - (sqrt(153)*4 + -1 + sqrt(17) + 1 + sqrt(17) + 5)**2.\nAnswer: -3629 - 158*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1721 - 3441?\nAnswer: -5262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12 and 136222?\nAnswer: 817332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -34\/192799?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2158 is divided by 437.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*m + 120 = 59*m. Let r(f) = 3*f**3 - 3*f**2 - 3*f + 5. Let k(h) = -4*h**3 + 2*h**2 + 2*h - 4. What is m*k(z) + 2*r(z)?\nAnswer: -6*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 542, 1133, 1724, 2315?\n\"Answer: 591*c - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 30489241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 3\/40 of a kilogram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-14)\/105*1 + 304\/30. Suppose -4*x + 42 = a. Solve -x = -3*k + 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 46 (base 9) to base 4\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19) + sqrt(190)\/sqrt(10) + -4 + -5 - (sqrt(38)\/(sqrt(4)\/sqrt(2)) - sqrt(475)*6))**2.\nAnswer: -558*sqrt(19) + 18340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 421 divide 35483095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 2  (b) 11\/50  (c) -3  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3989301.\nAnswer: 3, 1329767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1796615 and 13294951.\nAnswer: 66474755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 36756888 to the power of 1\/2, to the nearest integer?\nAnswer: 6063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 56026.31mg to tonnes.\nAnswer: 0.00005602631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4 - 124848?\nAnswer: -124853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 2*q - 1. Let w be l(2). What is the units digit of (w - 0) + -6 + 63?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 36 and 1962?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from frfiiifri. Give prob of sequence ir.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 12792 + -6105. What are the prime factors of k?\nAnswer: 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*t + 13 + 1. Suppose -t*l = 4*l. Suppose -6*i + 365 - 35 = l. Calculate the greatest common divisor of i and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/798)\/((-126)\/(-114)).\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4975.8 + 4976. Let n be (6\/(-4))\/(504\/(-96)). Which is the closest to d?  (a) 93  (b) n  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8872.857 days to hours.\nAnswer: 212948.568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2137251, -4274510, -6411769, -8549028, -10686287, -12823546?\nAnswer: -14960805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = k - 5. Let y(p) = -2*p**2 - 9*p - 5. Let w be y(-5). Suppose -m + 7 = 2*d - 5*d, 5*m + 33 = -2*d. Let z be (25\/w)\/(2\/d). What is x(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000419647116 to five decimal places.\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the second derivative of 131*x - 46\/3*x**3 + 1 + 5*x**2. What is the first derivative of d(r) wrt r?\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*w - 3*l, 5*w = -4*l + 3*l. Suppose w = -h - 2 + 8. Let f(k) = k**3 - 11*k + 18*k - 2*k - 7*k**2 + 5. Determine f(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 0  (b) -10  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*t**4 - 410*t**3 + 840 wrt t?\nAnswer: 8*t**3 - 1230*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 8\/(-6)*27\/(-48)*11072\/3114\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-4*-3*sqrt(1088))**2*3 + (sqrt(1088) + ((-5 + sqrt(1088) + -3 - sqrt(1088)) + sqrt(1088))**2 - (3 + sqrt(1088)*-4)).\nAnswer: -88*sqrt(17) + 2351229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -4151 at least 0.14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.2 - -0.2. Let a be 0\/((9 - 3) + -4). What is the nearest to a in 5, m, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 420\/(-150)*5\/6*(-432)\/(-84)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2187*y + 2189*y + 2*f - 354, -2*y + 361 = f. Calculate the lowest common multiple of y and 460.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2\/9*d**3 + 0*d**2 + 4\/9 - 2\/3*d = 0 for d.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.2  (b) 22\/20003  (c) 21  (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(65)\/((sqrt(800) - sqrt(50))\/sqrt(10) - sqrt(5)))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 21946*n**2 + 70*n**4 - 68*n**4 + 2*n**3 - 21943*n**2 - 12*n to the form j*n + c + w*n**2 + i*n**3 + l*n**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -4*u**2 + 6*u - 5. Let x(a) = 3*a**2 - 6*a + 6. Let g(o) = 2*k(o) + 3*x(o). Is g(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = 9*v + 38 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -85*-24*16\/60. Suppose 3*n + 175 = l. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4283 is divided by 254.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*-24.941.\nAnswer: -49.882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2, -233, -58?\nAnswer: -233","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 98557 = -2*q + 3*s + 98603, -3*s = -q + 47 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 912823?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 20964.3 to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*a**3 + 1468*a**2 - 5808*a = 0. What is a?\nAnswer: 0, 4, 363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 40 = -12. Calculate the remainder when l is divided by 1 + 8 + 7 + -7.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 329851423?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + (1 - (-6 - -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6*a**3*f**2 + 55*a**3*f*z + a**2*f + 4*a**2*z + 2*a*f**5 + 2*a*f**2*z wrt f?\nAnswer: 12*a**3 + 40*a*f**3 + 4*a*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/3  (b) -4609  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in -20, -2\/57, 2\/3?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 16702 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = 3*x + 1 + 8, 3*x + 15 = 0. Suppose -10*d = 21 - 61. What are the prime factors of c\/d*(4 + 8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -200630767 - -2?\nAnswer: -200630765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1296898 is divided by 656?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*x + 6*x + 8*x - 2*x - 3*x + 2*x - 2*x - 4*x + 4*x + (-5*x + 2*x + 2*x)*(-1 + 6 - 4) + 3 - 3 + 2*x + 2 + 2*x - 2.\nAnswer: 15*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 197683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -5*h**2 + 3*h + 1. Let f(g) = 5*g**2 - 3*g - 1. Let m(u) = 5*f(u) + 4*w(u). Let k(b) = -9*b**2 + 5*b + 2. Calculate 3*k(x) + 5*m(x).\nAnswer: -2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -34*z**2 + 22*z. Let x(q) = 211*q + 1. Calculate w(x(h)).\nAnswer: -1513714*h**2 - 9706*h - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1126037 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-16450)\/550 + (-1128)\/1034\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nonvvonn. Give prob of sequence vo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1991 - -1990.6. Which is greater: -2383 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.28 - -153.28. Let t = w + -148.05. Let s = t - -0.05. Which is the nearest to -3?  (a) s  (b) 2  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1424 + 691 = -9*n. What are the prime factors of 94\/n + 8414\/10*1?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in k + 3*k**2 + 0*k**2 - k - 4*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 2*-4269.155\nAnswer: -8538.31","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7\/3 in 2, 14, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -912*u**2 - 4*u**3 + 912*u**2.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sxln when four letters picked without replacement from {l: 4, x: 6, s: 2, e: 1, n: 3}.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1\/25982 + 103925\/77946. Let -17\/3*w**2 + 7\/6*w**5 + 13\/3*w**4 + f + 13\/6*w**3 - 10\/3*w = 0. Calculate w.\nAnswer: -2, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 870858*b**3*c**3 - 43*b**3 + 12*b*c**3 + 320*b + 40*c**3 - 21*c**2 - 1 wrt b.\nAnswer: 5225148*b*c**3 - 258*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*w = -0*w + 136 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -2*l**2 - 8*l - 8. Let w be x(-2). Let u(a) = -a**2 + a + 63. Give u(w).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 35 - -17. Let d = 74 - n. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1197*d**4\/5 + 69429*d**3\/5 + 72843*d**2\/5 - 141429*d\/5 + 354\/5 = 0. Calculate d.\nAnswer: -2, 1\/399, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-7))**25\/(s**(-2\/13)\/(s\/(s\/s**(-17)))) assuming s is positive.\nAnswer: s**(-2494\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -18087862 * 5\nAnswer: -90439310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*o + 8 = 17*o. Suppose o = t + 2. Let c = t + 8. Solve 5*p + 5 = -c for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 + 4. Suppose 0*d - 30 = -5*d. Suppose -n - 15 = -d*n. Which is bigger: q or n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 2*o**3 + 13*o**2 + 16*o - 24. Give b(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2 - -2. Let j = -19002\/7 - -2714. Which is the smallest value?  (a) j  (b) 2  (c) h  (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4c72 (base 13) in base 4?\nAnswer: 2222131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 20 - 19.8. Let c be (-8)\/(-2) + 2 + 28\/(-5). What is the second biggest value in -2\/7, c, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 2) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(65)*2)\/sqrt(5) + sqrt(13)*-2*-5 + ((sqrt(52) - sqrt(468))*-3)\/sqrt(4))**2.\nAnswer: 4212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:42 PM and 1:46 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 times 0.0353029\nAnswer: 0.00706058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the third derivative of -x**6\/1200 - 3*x**5\/100 + 13*x**4\/80 - x**3\/3 - 4*x**2 + x + 7. Factor n(d).\nAnswer: -(d - 1)**2*(d + 20)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/11  (b) 19346  (c) 16  (d) -0.9  (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes before 5:36 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 46 = q + 13, p - 311 = 5*q. Let b = -1218 - -1309. Let c = q + b. What are the prime factors of c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**3 - r**2 - r + 9. Let z be 0 + 2 - (-7)\/(-1). Let q = -5 - z. What is the units digit of o(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 2*w - 1488. Let k(y) = y - 985. What is 5*a(h) - 8*k(h)?\nAnswer: 2*h + 440","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:37 AM and 10:25 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 586?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1 - -683?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/6, 2.78, 0, 2244, 6, 1\/6 in increasing order.\nAnswer: -1\/6, 0, 1\/6, 2.78, 6, 2244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12723.\nAnswer: 3, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 20*f**3 + 27*f**2 + 13*f + 24. Let v be s(20). Suppose -x = -2*o + 84199, 5*o - 39414 = 2*x + v. Round o to the nearest 1000.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -29 + 57. Let p = u + 71. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -7, -3, -6 in increasing order.\nAnswer: -7, -6, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aaaaxxxxaxxxxxxxxxx?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -168cb + 1a?\nAnswer: -168b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(-15 + (-833)\/(-56))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -11*d + 9*d - 4*f - 56, 123 - 122 = -f for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in five eighths of a day?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 16839690 rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven quarters of a millisecond in microseconds?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -9375, -18742, -28107, -37470, -46831?\n\"Answer: j**2 - 9370*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 10283\/4 + -2589. Calculate the common denominator of c and 1\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -40*d + 44\/9*d**2 - 1008 + 2\/9*d**3 = 0. What is d?\nAnswer: -18, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes after 11:50 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 635 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.08 - -0.68. Suppose 3*b + 0*b - 9 = 0. Suppose -c + 6 = -b*c. What is the third biggest value in z, c, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = 6*u - 564. Let s be u\/(4 + -3) - 3. Suppose 119 = -2*c + s. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 147020 and 19700680?\nAnswer: 19700680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 127 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 13315442*i**2 - 3253*i + 2335 wrt i.\nAnswer: 26630884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3252335 is divided by 1936?\nAnswer: 1791","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11 is divided by (-38)\/(-4) - (-47)\/94.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*c - 121 = -65 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = 3*s, s + 5 = z - 2. Let t be (-52)\/26*(-3)\/2. Suppose -4*x - 8*k + 36 = -4*k, 0 = t*x - 2*k - 22. Solve -2*b + b = -3*v - z, -v - x = 2*b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 20790 and 5?\nAnswer: 20785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 119051\/5 in -0.1, 11, 0, 5\/4, 2\/19?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -2*m + 6. Let g be (-6)\/(-8) + (-16)\/(-64). Let a be y(g). Calculate the greatest common factor of a and 124.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + sqrt(832)*5)*1 + 0)**2*1*-6.\nAnswer: -124824 - 960*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.8 - 0.2. Suppose -48*h + 71*h - 92 = 0. What is the second smallest value in h, l, 2.3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 22\/1223301 or -1?\nAnswer: 22\/1223301","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:44 PM and 1:51 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the second derivative of d**7\/504 + 5*d**6\/144 + d**5\/4 + d**4\/3 - 8*d. Let i(b) be the third derivative of h(b). Find z such that i(z) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(4)\/sqrt(18) + sqrt(18)*-4.\nAnswer: -35*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 490\/(-2940)*(-204)\/2 is divided by -7*(40\/(-14) - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 11 - -3) + -2 + (-3 - (5 + -4)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + (1\/2 - ((-18)\/7)\/((-1688)\/20678)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3\/(-7) + 24\/7 + -16. Is q >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 + 4 = 5*j. Let d(p) = 1. Let v(g) = -2*g**2 + 4*g + 2. Let l(s) = j*d(s) + v(s). Let l(k) = 0. What is k?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1376 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 times -7194705?\nAnswer: 1438941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 4*f - 6. Let g(k) = -k. Let q(t) = -3*g(t) - r(t). Let a be q(5). Solve 2*c - a = 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -239784, -959084, -2157918, -3836286?\n\"Answer: -239767*m**2 + m - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 12*v**3 - 7*v**2 - 31*v + 1. Suppose -23*s + 213 = 6. Is n(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -3*s**2 + 12*s - 6. Let k be g(8). Find the common denominator of 62\/5 and (k\/32)\/(3\/4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 80 + -80.25. Let w = -0.78 + 0.03. Let t = w + a. What is the nearest to 1\/2 in t, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - (-8)\/6)\/(3 + 120\/(-36))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 544 and 986?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8279702*c*g + 5106191*g wrt c.\nAnswer: -8279702*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11333?\nAnswer: 7, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**2 - 249*l - 1699. Determine q(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 8*j + 56. What is y(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, 0.0222, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1 - 2. Put p, 4, -1 in descending order.\nAnswer: 4, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 79973, 159669, 239365, 319061?\n\"Answer: 79696*f + 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4019140 or 4019143?\nAnswer: 4019140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a hour in seconds?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 22 and 16952?\nAnswer: 186472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -6, -1199, 4, -5 in ascending order.\nAnswer: -1199, -6, -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3110773749\/489102586 + -12\/743317. Let c = 7\/94 + s. Let x = c + 299\/42. Calculate the common denominator of x and -101\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2143*a**2 - 2889*a**2 - 4416*a**2.\nAnswer: -9448*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d, -4*d + 4 = 2*m + 2. Let u be (1\/(1 + -2))\/m. Which is greater: 2\/33 or u?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1403557159?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -3521.13922 to the nearest one hundred.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 248724 and 1094912?\nAnswer: 206938368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 * -112200.76.\nAnswer: -44880.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2334*y + 5028?\nAnswer: -2334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 1, -1490 in descending order.\nAnswer: 1, 0, -1490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (259 + 20*n**2 - 259)*((8 - 8 - 2*n)*(1 - 1 + 2*n) - 1206*n - 34*n**2 + 1206*n).\nAnswer: -760*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 355020829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 589 is divided by 80.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + (12 - -17) - 7.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*x + 17 + 95 = 0. Suppose -640 = x*m - 9*m. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.09 - -7.09. Let z = p + -3. Which is the closest to -0.2?  (a) z  (b) 3\/5  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 15 + 1379?\nAnswer: 1393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 28224\/2016*10\/(-28)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + j**2)*(6 + 8 - 6)*(4 + 0 - 2) - 65*j**2 + 16*j**2 + 21*j**2.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 15*r**2 - 60*r**2 + 2*r**6 - 60*r**5 + 62*r**5 - 5*r**6 wrt r.\nAnswer: -360*r**3 + 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 minutes after 1:32 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the third derivative of s**4\/24 - 4*s**3\/3 + 5*s**2. What is q(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -168 = 2*z + 7*d - 208, 0 = z - 4*d - 5 - 30 for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 23757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 2, i: 4, o: 9, r: 3}. Give prob of picking 4 o.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2797560?\nAnswer: 2, 3, 5, 19, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -r - 0*r + 46, 4*n - r = 73. Suppose 8396 = -13*g + n*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2582, -5128, -7636, -10106, -12538, -14932?\nAnswer: -17288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*a - 26*a = -1186 + 81 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 + -11 + 0 - (-7 + 19).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 3*d = -228. List the prime factors of d.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r = 2*o - 18, -2*o + 232 = -2*r + 224 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -4619*b + 337186. Determine h(73).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 2*g**3 - 2*g**2 + 3*g - 4. Let o be z(2). Suppose -o*l = -6*l - 52. Let m = -18 + 83. Calculate the greatest common divisor of m and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 3*q - 2 + 1 + 1. Let k(z) = -4*z**2. Give y(k(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -19 + 33. Suppose 2*w + t = -w - g, -w + 4*t + 4 = 0. Let s be 1\/(-4) - 4\/(-16). Sort s, w, 2 in decreasing order.\nAnswer: 2, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes after 6:01 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -2*w. Let x(s) = 90*s - 59. Give v(x(d)).\nAnswer: -180*d + 118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 19466041?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -76 = 18*x - 11*x - 4*x - 5*g, -3*x - 382 = -23*g for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/27)\/(194\/2910)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 142*k - 208. Let j(c) = 3*c - 1. Let i(d) = b(d) - 10*j(d). What is the thousands digit of i(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 59 + -49. Suppose 17*b + 55 = 22*b. Let h = 45 + b. What is the remainder when h is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 564632 + 410?\nAnswer: 565242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -14633 - -453627\/31. Which is the biggest value?  (a) -0.3  (b) i  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 24 and (0 + 42\/70)\/((-4)\/(-8120)).\nAnswer: 4872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8698 is divided by 116?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 438445 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*j + 2*j - 2*j)*(-10*j + 53 - 53) to s*j + l + b*j**2 and give b.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 115 a factor of 52952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3\/6 + (-40)\/16. Put -4, 5, q in descending order.\nAnswer: 5, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 5*q - 11. Let f(b) = -5 - 67*b + 38*b + 31*b. Give 7*f(o) - 3*p(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:12 AM and 9:08 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from ahjxxnaxpahxphhanhhn?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 99452220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*w - 15*w + 210 = -276 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*n**3 + n**2 + n**3 - 5*n**3)*(16 - 16 - 20) as m*n + f*n**2 + g + k*n**3 and give k.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 4 + 0)*(0 - 1 + 0) + 8 + 8 - 2 - 2 + 1 + 0)*(-3*o**2 + 2*o**2 + 2*o**2)*(-74*o + 74*o + 8*o**3).\nAnswer: 88*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = 12*m - 49 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -490, -499, -514, -535, -562?\nAnswer: -595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 2*r**2 + 3*r + 4. What is the units digit of m(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54 = 9*z - 6*z. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -13 in 4, 2\/9, -0.67, 56?\nAnswer: -0.67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1317795 and 878530?\nAnswer: 2635590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 4 = 4*w, -5*w + 0 = -2*p - 6. Solve -4*v + 17 = 5*b, 0 = 2*v + b - w - 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 121021113 - 10121?\nAnswer: 121010332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2.1 and 3?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 21 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -17 + 50\/3. Is j <= 5\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1330915*h**3 + 1924723*h**2?\nAnswer: 7985490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -178*p + 3906 = 17*p - 1164. Let q(w) be the first derivative of -2\/65*w**5 + 0*w - 2\/13*w**3 - 2\/13*w**4 + 0*w**2 - p. Factor q(y).\nAnswer: -2*y**2*(y + 1)*(y + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + 3 + 3 + 4*sqrt(19))*2)**2.\nAnswer: 160*sqrt(19) + 1316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h + 9 = -3*w, -4*h + 7*h + 2*w + 6 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -14713 > -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4\/15*j**3 + 0 + 0*j**2 + 0*j - 2\/5*j**4 + 2\/15*j**5.\nAnswer: 2*j**3*(j - 2)*(j - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - l + 1)*(-2821 - 14629 - 9125 + 5993).\nAnswer: 20582*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 33522893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1615 + -554. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -30720 in 10, -5, 2\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -1923 divided by -3\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -10a8 (base 11) to base 10\nAnswer: -1449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.809424 decades to centuries.\nAnswer: 0.4809424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 2*u + 95 = 99, -5*u - 18 = -2*x. Solve 19 = x*q + f, 4*q - f - 15 = 6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(38)\/sqrt(2)*3*-6 + ((sqrt(114)*-1 + sqrt(114) + sqrt(114))\/sqrt(6) + (sqrt(57)*-2)\/sqrt(3))**2 + ((2 + sqrt(684) + (-2 + sqrt(684))*-3)*6)**2.\nAnswer: -6930*sqrt(19) + 100819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (20\/550*-10)\/(1*2)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 621.11 and -1.22.\nAnswer: -757.7542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 151\/828 and -127\/216.\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-16*q + 1 + 11*q + 0)*((5*q - 5*q - 2*q**2)*(-2*q - 1 + 1) - q**3 - 2*q**3 + 0*q**3).\nAnswer: -5*q**4 + q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -2*r - 8. Let k = 339 + -345. Determine s(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 12\/((-6)\/63*3). Let h = -23 - k. Calculate the remainder when 75 is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11 + 15. Let z = 76 + -67. Solve 0 = k*n - n - z for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -9052112.445 - -1414567.735. Let z = j - -7637231.709441. Let n = z + 313. Round n to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 + 0)*(0*k**5 + 0*k**5 - k**5) - k**5 + 0*k**5 - k**5 + 4*k**5 - k**5 + 6*k**5.\nAnswer: 8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 11441270069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r**2 - r - 1. Let g(m) = 12*m**3 + 8*m**2 - 8*m - 8. Determine g(k) - 8*t(k).\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = 3*z - 6*k - 419, -5*z + 705 = -5*k. Suppose 3*l + 89 = 2*l - 5*h, 2*l - h = -z. Let m = -72 - l. Solve -m = -n + 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 496*m - 7539. Calculate l(15).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -696*i + 697*i + 9 = 0 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 19 - 19.1. Let f = 2 - 2. Suppose f*y = 5*y. Which is the smallest value?  (a) y  (b) 0.06  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 63462020687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (105\/280)\/((-2 + 1)\/4).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-420)\/(-735))\/(1\/(-7))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3  (b) -3  (c) -5973\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 - -2102?\nAnswer: 2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 126 + -128. What is the second biggest value in -0.2, n, -3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 53 divided by 6\nAnswer: 53\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5505 and 20400?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 108921 and 1059?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6161 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fooff?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*z**3 + 0 - z**3 - 3*z**3 - 5 + z**2 as o*z + x*z**3 + j + k*z**2 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -49124 divided by 16\nAnswer: -12281\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -16507 divided by -4\nAnswer: 16507\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18204925.\nAnswer: 5, 37, 19681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 0.7118175g?\nAnswer: 711.8175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -215*a + 71*a - 3 + 3 to b*a + m and give b.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h + 0 + 0 + 14*h + 78*h - 35*h + (5 + 2 - 3)*(-4*h + 1 - 1))*(0 - 2*h + 0).\nAnswer: -86*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (135\/(-2100))\/(40\/32*6\/(-10)).\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 + 1 - 0) + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 15221 to the power of 1\/2, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -637 + 638. Let o = -8 + 3. Sort 4, o, p in ascending order.\nAnswer: o, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*q**3\/7 + 1368*q**2\/7 + 228360*q\/7 - 1915456\/7 = 0. Calculate q.\nAnswer: -346, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -873, -3569, -8087, -14421, -22565, -32513, -44259?\nAnswer: -57797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 252784 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in 0.5, -37, 0, -5, -1\/3, 4\/3, -0.4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**2 + 6*d - 3. Let z be w(-9). Let y be 2*19 - (-19 + 9). What is the highest common divisor of z and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 967 + -968. What is the nearest to 5\/4 in 4, u, 1\/4, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = 2*w + 12, -3*w - 3*i + i = 26. Suppose o = -3*b - 10, 3*o + 2*o + 20 = -5*b. What is the units digit of ((-33)\/(-9) - 4) + w\/b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 0 - p**3 + 0 + 3 - 10*p**2. Let s be n(-10). Suppose -2*h = -5*y - 5*h - 1, 3*h = -3*y + s. Which is greater: -3\/5 or y?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 13343514 - 2?\nAnswer: 13343512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (5\/(-5))\/(3\/(-27)). Let r = b - -2. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 540 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*n**2 + 0*n**2 - 4*n**2)*(4 - 2 - 4)*(4*n + 9*n - 2*n)*(-14 + 5 - 16 + (-1 + 0 + 4)*(3 - 3 - 1)).\nAnswer: -616*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 111269*q**4 + 2*q**3 - 2*q**2 + 189561 wrt q.\nAnswer: 2670456*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f + 44. Let j be h(21). Let n = j + -22. Sort 0.5, n, -2\/11, 0.2.\nAnswer: -2\/11, 0.2, 0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -114 - -147. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1102212121111 (base 3) in base 13?\nAnswer: -20a37c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 113 + -119 - (-14 - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7*g**3 + 2*g**3 + 2*g**3)*(0 - 4 - 1) to the form a*g**2 + m*g + c*g**3 + l and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.2 + -1.58. Let g = 0.38 + u. Which is the biggest value?  (a) g  (b) -2  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 2*u + 1. Let f be j(2). Let n be (7 - f) + 1*10. Calculate the highest common factor of n and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 231464.\nAnswer: 2, 28933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*(0 - -2)\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o + 5*l - 4453 - 2454, -3*l + 6917 = 4*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j - 13 = -1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 7, q: 7, h: 5}. Give prob of sequence mqm.\nAnswer: 49\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 169 = -5*m + 164. What is the common denominator of m\/(5 - 1)*834\/(-27) and 3 - (-1)\/16*-118?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -43244332 (base 6) to base 11.\nAnswer: -7a5846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes before 5:30 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let 33*x**5 - 357*x**4 + 528*x**3 + 108*x**2 = 0. Calculate x.\nAnswer: -2\/11, 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (46235\/(-13210))\/(7\/(-48))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7 - -33) + -22 + (10 - 2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8432109?\nAnswer: 3, 7, 133843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 13 = -73. Find the common denominator of (-215)\/g*4\/(-2) and (-264)\/(-462) - 1\/2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 266156790.\nAnswer: 2, 3, 5, 8871893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14, 70, 212, 482, 922?\nAnswer: 1574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -6, 6, -0.14?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*y**2 + 64*y**2 + 7*y**2)*(0*y**3 + 2*y**3 + 0*y**3) + 10*y + 4*y**5 - 10*y.\nAnswer: 126*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*i**2 + 237962*i**3 + 5*i**2 + 71 - 237961*i**3 + (2*i + 0*i - i)*(-4*i**2 + 4*i**2 + 3*i**2) to f*i**3 + p*i + d + n*i**2 and give d.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from epbbpppebbh. Give prob of sequence ebhe.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**5\/13 + 92*g**4\/13 - 94*g**3\/13.\nAnswer: 2*g**3*(g - 1)*(g + 47)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -30*f**2 + 15*f - 154. Calculate a(3).\nAnswer: -379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9 - 6. Suppose -2*x + 1 = -n. Solve -2*r - 8 = x*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -12*a**2 + 20*a + 3. Let i(z) = 6*z**2 - 11*z - 2. Calculate -11*i(r) - 6*t(r).\nAnswer: 6*r**2 + r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -488*k**3 + 258*k**2 - 3*k - 879871?\nAnswer: -2928*k + 516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00254597 rounded to four dps?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.05992 + -5281934.\nAnswer: -5281933.94008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5313*v = -5317*v - x - 9, 0*v - 1 = -v + 3*x for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r - 2*f = 3*r + 36, 0 = -4*f. Let b be (1 - 45\/r) + 2. What is the smallest value in 2\/9, -0.3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v - 101169 + 101199 = -5*b, 21 = -3*v - 4*b for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 30 - (1 - 1)\/(-1). Let s be (j\/(-81))\/(-5)*-3. Let i = 0.32 + -0.12. What is the nearest to i in s, 0.2, 5\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.4?  (a) -4  (b) 5  (c) 2  (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p*p*p**8\/p*p\/p**(6\/11)*(p\/p**(-2\/17))\/((p*p**(-11))\/p*p) assuming p is positive.\nAnswer: p**(3847\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the first derivative of 1\/4*x**4 - 3*x**2 + 5\/3*x**3 - 46 - 3*x. Let j = 11 - 17. Determine n(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 - 18 = -4*h. What is the tens digit of (-63)\/h*(-4)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8276, 4443, 610, -3223, -7056, -10889?\nAnswer: -14722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + (2 - (-5 - -3 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*g**5 - 60*g**4 + 426*g**3 - 1260*g**2 + 1323*g.\nAnswer: 3*g*(g - 7)**2*(g - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1895814153?\nAnswer: 3, 463, 50551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.17 - -0.17. Suppose 2 = -3*d - 1. Which is the nearest to d?  (a) r  (b) 0.2  (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*z**4 + 1064*z**2 - 9224*z?\nAnswer: 60*z**2 + 2128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 22.6 - -653398?\nAnswer: 653420.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -189 + 189. Suppose x = -4*p - m + 33, -4*p + 19 = -2*p + 3*m. What is the highest common factor of p and 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-144)*-6*33\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*o + 3*s = 37*o + 19, -o + 8*s - 44 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:32 PM and 3:20 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 11345426 (base 7) to base 8\nAnswer: 3647214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s + v - 578, 410 - 1550 = -4*s + 2*v. Let w = 1145\/4 - s. Which is the closest to 5?  (a) -1  (b) w  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the first derivative of -4*o**3\/3 + 2*o + 12. Let s be 5\/(-10) - (-10)\/4. Determine c(s).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by 439795.\nAnswer: -4\/439795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3\/4 - (-25)\/20. Let k be b\/8 + (-477)\/36. Let l = 31 + k. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 4*t. Let k(l) = l. Let h(q) = 2*i(q) - 7*k(q). Suppose -r + v = 0, 2*v - 5*v = 12. Calculate h(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 95370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-36*p**3 + 302 - 302)*(7*p + 4*p - 19*p).\nAnswer: 288*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -488 + -4?\nAnswer: -490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 4581917467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2615949 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**3 - 4*v**2 + 3*v + 26. Let a be q(-3). Solve 5*t = -a*t - 13 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 14\/3?  (a) 489.2  (b) 13  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 28710 and 4640?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.7151 and 30.\nAnswer: -21.453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**2 - 22*o + 19. Let y be l(22). Suppose -t = -4*b - 0 - 16, 4*t - y = b. Solve -7 - 9 = -t*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 25\/(-3) + (-2)\/(-6). Let q(p) = -p**2 - 9*p + 4. What is q(u)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(81)\/(3*sqrt(9)))\/(sqrt(75)*1 + sqrt(3)).\nAnswer: sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**3 - 7*o**2 - 2*o - 3. Let b(n) = -n**2 + 1. Let u(d) = 2*b(d) - c(d). Determine u(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -65?  (a) 4  (b) 0.2  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -1\/5, -6, 26, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -177 + 181. Solve u*x - 2*n + 0 + 22 = 0, 4*x + 2*n = -10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/n**0*n)\/n)\/(n\/n**(-22)) assuming n is positive.\nAnswer: n**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -86*f + 5*l = -88*f - 52, -l = 7*f + 182 for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3711128680.\nAnswer: 2, 5, 7, 449, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**3 + 11*v**2 + 3. Let p be c(-11). Suppose p*y - 6 = 3. Suppose -313 = -y*n - 61. What is the greatest common divisor of n and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 500644 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**2 - 24244*h - 339808.\nAnswer: 2*(h - 12136)*(h + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1a2 + -4?\nAnswer: -1a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (3 - -114)*2\/6. Let h = 111 - c. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19496657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(1584)*2*-5 - -4*(sqrt(1584) + -1 - sqrt(1584))) + -1*(3 + sqrt(1584) - sqrt(1584))*4 + 2)**2.\nAnswer: 5760*sqrt(11) + 2534436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(11)*3 + 3 + sqrt(11) + (sqrt(66)\/sqrt(6)*-5)**2 + 6*(1*sqrt(132)*-1 - sqrt(132))\/sqrt(12) + -5.\nAnswer: -8*sqrt(11) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*h*j**5 + 11020352*h*j**3 + 3*h*j**2 - 3109*h*j - 27*h - j**2 - 3*j wrt j?\nAnswer: -300*h*j**2 + 66122112*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 252167685?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 4 + 1 + sqrt(5))**2*6.\nAnswer: 60*sqrt(5) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -110*f**5 + 2167*f**3 - 232*f**2 - 359*f - 46 wrt f.\nAnswer: -6600*f**2 + 13002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.22 - -5.22. Which is the second smallest value?  (a) -1  (b) t  (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-9)\/(-5))\/((-48)\/((-352)\/22)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 184?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.5 in 1, 838, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 54 - 50. Solve 5*y = -2*q - 17, -c*q = 2*y - 5 - 1 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -108 - 112 + 157*q + 220 as n*q + g and give n.\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 * -307728.\nAnswer: 1230912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s*s*s**(2\/9))*s**(-4\/7)\/s*(s*s**(-1\/3)\/s)**49)**(-8) assuming s is positive.\nAnswer: s**(9640\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 27\/(-18) + (-2)\/4. Put -4, 2\/13, l in descending order.\nAnswer: 2\/13, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -21, -0.3, -4, -2\/5 in descending order.\nAnswer: -0.3, -2\/5, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 0, 3*y - 2*a - 4222 - 1412 = 0. Suppose -5856 + y = -2*r - z, 4*r - 4*z = 7932. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 2*z + 6 = 0, -5*b + 1 = -4*z + 11. Suppose 2*f = f - b*f. Suppose -4*t + 2*u + 404 = f, 2*u + 108 = t - 2*u. Does 20 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*y**2 - 5*y**2 + y**2 + (-36*y + 22*y - 9*y)*(117*y - 188*y + 111*y - 1) to d + c*y**2 + g*y and give c.\nAnswer: -921","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t\/(t\/(t**(2\/13)*t))*t)\/t*t)\/(t*t\/(t**(-1\/23)*t)))**26\/((t\/((t**15*t)\/t))\/((t*t**(-7))\/t))**4 assuming t is positive.\nAnswer: t**(1906\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15285 divided by -15.\nAnswer: 1019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 16*d**3 - 8*d**3 - 7 + 8 + d**3 as m*d + s + x*d**2 + y*d**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*a**2 - 6 - 134*a**3 + a**2 + 2.\nAnswer: -134*a**3 - a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1552643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f + 4*r + 3 - 15, -2*r = f - 12. Solve 2*l = f*l + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 242.0467749 rounded to zero decimal places?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 269, -10.\nAnswer: -10, -2, 269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/32*-2)\/(119\/3332)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 1 t, and 1 u when three letters picked without replacement from {b: 7, u: 6, t: 6}.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/54 and 139\/2232.\nAnswer: 6696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of 100 and -0.7.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve m - 296 = -6*m - 247 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 406751304 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 86 + -256\/3. Let g = -496.9972 - -497. Let q = g - 2.0028. Sort -4, -1\/3, q, t in ascending order.\nAnswer: -4, q, -1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 14 - 17*m - 19*m + 36 - 110*m wrt m.\nAnswer: -146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*h**2 - 2*h**2 - 2*h**2)*(-2 + 2 - 2 + (-2 + 2 - 1)*(3 + 2 - 3))*(2 - 2*h - 2).\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 4*z**3 + 21*z**2 + 7*z + 9. Let m(x) = 5*x**3 + 22*x**2 + 6*x + 11. Let l(v) = 2*m(v) - 3*t(v). Determine l(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 376*z + 189 = 439*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.4?  (a) -4  (b) 0.1  (c) -2\/19  (d) -11109  (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are 1\/614 and 0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes before 4:43 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(-2*2\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8 - 27\/4. Which is the second biggest value?  (a) n  (b) -0.4  (c) 8  (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b**3 - 7*b**2 + 24*b + 2. Calculate the least common multiple of d(5) and 12.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*i = -49*i + 228. Suppose u - 21 = -2*l, -l + i + 0 = 2*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-15)\/(-4) + 2\/8. Suppose -p*t = -200 + 44. Let q = t - 27. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -121\/3660 and -23\/5642256?\nAnswer: 28211280","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 268427331 - -4?\nAnswer: 268427335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/5)\/((-8)\/(-20)*-5)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -3467*s + 72807. Give m(21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 2*n = -5*h + 2, 3*h = 2*n - 2. What is the remainder when 170\/15*(3 + h) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d**2 + 13*d - 12. Let b = -11 + 19. Does 7 divide y(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 98 divide 742499940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 30126 to the power of 1\/2, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 - 6. Let d = -18 - -16. Which is the closest to d?  (a) t  (b) -0.2  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3830 minus -211448?\nAnswer: 215278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3648, -14370, -31968, -56220, -86904?\nAnswer: -123798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000070287 rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**2 + u - 24. What is m(-9)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1728) - 1*(-2*sqrt(1728))**2) + 1 - (-1 + (-2 + (sqrt(1728) - (sqrt(1728) + 4)))**2)) + 5.\nAnswer: -6941 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -97.191 and 476.\nAnswer: -46262.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i**3 - 6*i**2 + i + 1. Let q be u(6). Let w = 2 + q. Which is smaller: 10 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z + 16. Let y be a(-12). Let b(i) be the first derivative of -y*i + 0*i**2 + 1 - 4\/3*i**3. Differentiate b(p) wrt p.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(9\/9*(-4)\/(396\/9))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -19*n**3 + 2008*n**2 - 1362*n - 321. Calculate w(105).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2*-1.26.\nAnswer: 0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3411380 and 472?\nAnswer: 6822760","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**3 + 13*i**2 + 23*i + 32. Calculate the remainder when 26 is divided by o(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -q - 5*t - 292, 7*q - 4*t = -6*t - t - 188 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 21280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the first derivative of -26*z**7\/7 - 23*z**6\/6 - 2*z**3\/3 + 1210*z - 521. Find the third derivative of o(t) wrt t.\nAnswer: -3120*t**3 - 1380*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 1*(-54)\/(-36)*(-4)\/(-6)*-13\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -28, 8, -3\/2, -23, 0.1 in ascending order.\nAnswer: -28, -23, -3\/2, -1, 0.1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6763488 - -11453488. Round v to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.59472 + -3622?\nAnswer: -3625.59472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(288) + -1.\nAnswer: -3 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w*w**(1\/19))\/w*w**(-16) assuming w is positive.\nAnswer: w**(-284\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 24991019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -756*u + 259 + 85*u + 333*u + 55 - 2373 wrt u?\nAnswer: -338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = -5*z - 21, 3*z + 17 + 2 = 4*g. Let h be 6\/21 + z\/(-7). Let q be 2*(2 - (1 - h)). Solve -5*k + 0*t + 5*t = 25, -q*k = t + 15 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.07136897 rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2211?\nAnswer: 3, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37050745?\nAnswer: 5, 7410149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2.4 + -1.5. Let m = a + -15.6. What is m rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 5*t - 4 - 17 = 0, -t = 3*r + 1. Does 21 divide (-11)\/(462\/(-16074)) - r\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (32\/1344*518)\/((-1)\/(-3))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.552577 litres in millilitres?\nAnswer: 5552.577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 3*g + 8*g + 9*g + 2*g. Let t(r) = 824 - 536 + 2*r - 288. Calculate t(p(q)).\nAnswer: 44*q","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Expand (176*u - 176*u + 265*u**4)*(u - u + 2*u).\nAnswer: 530*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 479759 is divided by 95950.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-66555*o + 22924*o + 2 + 21880*o + 26942*o)*((-2 + 1 + 2)*(-4 + 3 + 0) + 3 - 2 + 1) to the form r*o + l and give r.\nAnswer: 5191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 = -5*m - 4*d, 0*m - 4*d = 4*m - 20 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 93.208 + -344.2595. Let n = 251 + f. What is n rounded to 3 decimal places?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2763 and 5004.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**2 + 9*y - 98. Let d(o) = 3*o - 35. Let a(n) = -14*d(n) + 5*z(n). Let u(i) = 4*i**2 + 3*i + 1. Calculate -2*a(m) + 3*u(m).\nAnswer: 2*m**2 + 3*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -6*t**3 - 154*t**2 + 54*t + 24. Determine a(-26).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -17\/44 + 95\/132. Solve -1\/3 - 2\/3*h - b*h**2 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 335298*-1.1\nAnswer: -368827.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 109343 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-6 - -3)*4\/(-90). Let a = 0.702 + -0.818. Let h = 0.216 + a. Put h, 0.3, 0.4, g in increasing order.\nAnswer: h, g, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of d**3*f**2*l - 2814*d**3*f*l - 4*d**3 + 3*d**2*l + d**2 - 1674*f**2 wrt d.\nAnswer: 6*f**2*l - 16884*f*l - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j**3\/4 - 71*j**2\/2 - 143*j\/4 = 0. What is j?\nAnswer: -1, 0, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 140, 142, 146, 152, 160?\n\"Answer: z**2 - z + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*w + 26 = 4*t + 2*w, -3*t + 2 = 5*w for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 - (0 + -2 - -13 - 6 - -17)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i - 4*n + 4, -3*i - n + 6 = 3*n. Suppose i*x = -3*x + 55. Is 2 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-432)\/(-324))\/(1\/3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 5, 38 in ascending order.\nAnswer: -3, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w + 2. Let z be b(2). Let k(t) = t**3 - 4*t**2 + 5*t + 3. Let a be k(z). Solve -5*c = -4*h - a, 0*c = 2*h + 4*c - 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-169)\/13)\/(-975)*-1)\/(12\/(-216)).\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -71717340, -143434690, -215152040, -286869390, -358586740?\n\"Answer: -71717350*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 66367 divided by -1?\nAnswer: -66367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f**4\/7 + 4558*f**3\/7 + 19920*f**2\/7 - 3759912*f\/7 - 47340288\/7 = 0. What is f?\nAnswer: -18, 32, 2283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 21\/68 and 89\/164782.\nAnswer: 5602588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**32\/(w*w**(1\/54)\/w) assuming w is positive.\nAnswer: w**(1727\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ivp when three letters picked without replacement from fwiwvvvvwfvppfvf.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6 + 2 + 2)*(5*t**3 + 2*t**3 - t**3) + 2*t**3 + 0*t + 0*t to n*t + m + a*t**3 + v*t**2 and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 4*d - 1. Let s be f(-3). Let a = s + 17. What is the tens digit of 88\/a + (-2 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by -27.\nAnswer: 5\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -569 + 567. Let k(c) = c**3 - 3*c**2 + 1. Calculate k(j).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -239 + 243. Suppose c - 4*m = 0, 2*c = 5*m + s - 1. What is the greatest common factor of c and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes before 10:01 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*s**3 + 0*s**3 + 0*s**3)*(94*s - 76 + 76).\nAnswer: -282*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3636815 + -54577898\/15. Let c = w - -1716. Find the common denominator of 94\/15 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes before 3:12 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v**3 - 8*v**2 + 53*v + 46. What is c(-12)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 2 - 2*n + (1 + 3 - 2)*(-8*n + 5*n - 9*n) as i*n + y and give i.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -0.1, 9, -82, 9\/2, -2.\nAnswer: -82, -4, -2, -0.1, 9\/2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 7 = -4*r. What is the second derivative of 3*p - 3*p - p - 2*p + 3*p**r wrt p?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (6\/(-1))\/((-3)\/75). Suppose -w = 2*y + 3*y. Let b = 42 + y. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1 + 55*s**2 + 104*s**2 - 32*s**2 wrt s.\nAnswer: 254*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 110*h**3 + h - 3*h - 64 + 2*h + 286 with respect to h.\nAnswer: 330*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -62194 + 4478065\/72. Calculate the common denominator of -19\/72 and x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4222130 (base 5) to base 10\nAnswer: -70290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 2*l - 1. Let z be p(1). What are the prime factors of z\/(3\/(-2))*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 136 and 274975?\nAnswer: 2199800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 2710, -2, -4, 3 in decreasing order.\nAnswer: 2710, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n = 0, 2*n + 10 = 4*i - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 1898 = -2*l, 2*k = -l + 806 + 145. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -63\/8 and 39\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-54)\/(-10) + 4\/(-10). Let h(x) = x - x**2 - m + 1 + 5. Suppose 427 = -70*z - 57*z + 46. What is h(z)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46624 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - v = -702. What are the prime factors of v?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 - 2. Let d be 4\/(3\/6 - x). Suppose -u - u = -d. Solve -3*t - j = -u, 4*t - 12 = t + 3*j for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -136, 18, 1\/2, 1\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -3*j. Let r(w) = -37*w + 15. Let t(u) = 13*u - 5. Let v(n) = -6*r(n) - 17*t(n). Calculate s(v(m)).\nAnswer: -3*m + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5719 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k = -3*k. Let q(a) be the second derivative of 1\/8*a**2 + 0*a**3 + 0*a**5 + 1\/120*a**6 - 1\/24*a**4 - 3*a + k. Factor q(d).\nAnswer: (d - 1)**2*(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 163957932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 188 divide 754709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*v**3 - 39*v**2 + 3*v + 39.\nAnswer: -3*(v - 1)*(v + 1)*(v + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that 3*q**5 - 19*q**4 + 37*q**3 - 17*q**2 - 16*q + 12 = 0.\nAnswer: -2\/3, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is b1 (base 13) in base 8?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1652.\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -8507.93558 to 1 dp.\nAnswer: -8507.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32b (base 14) to base 8.\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-2 + ((-5 + sqrt(180) + -1 + 3)**2 - ((sqrt(180) + -2 + 4 + sqrt(180))**2 + sqrt(180) + -5)))*-3.\nAnswer: -4788 - 810*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -41306 - -75537. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4*(-90)\/160*((-1980)\/27)\/(-11)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 91 and 78273.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -12*k - 6. Let r be v(-8). Let a be 18\/81 + 16\/r. Is a < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -24*p**2 + 63*p + 10. Let q(l) = -60*l**2 + 158*l + 24. Let f(z) = 12*m(z) - 5*q(z). List the prime factors of f(7).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 214*r**2 + 90856*r - 276*r**3 - 90856*r wrt r?\nAnswer: -1656","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1061  (b) 3.6  (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-9)\/84*-1)\/((-3)\/(-24)). Let -3\/7*g + 3\/7*g**2 - j = 0. What is g?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26668.\nAnswer: 2, 59, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 + 3*u - u + u in the form b + y*u and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 7, f: 2, h: 2, y: 1}. Give prob of sequence fy.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(-2*-4*(0 + sqrt(847)) + -2)*-4 + -4)**2.\nAnswer: -8448*sqrt(7) + 867472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the second derivative of v**5\/120 - 5*v**4\/72 - 13*v**3\/36 - 7*v**2\/12 + 3*v - 89. Find l such that o(l) = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -6.762798 and 9.\nAnswer: -60.865182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the second derivative of -a**4\/12 + 17*a**3\/6 - 61*a**2\/2 - a - 17. Let q be w(9). Solve 4*j - 1 = q for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1538 is divided by 154?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 228 - (8 + 5 + -16). Let o be 22\/n - (-492)\/126. Suppose 0 + 15*y**5 + 0*y + 40\/3*y**2 + 10*y**o - 100\/3*y**3 = 0. Calculate y.\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*l**3 + 17356*l + 11*l**3 - 8691*l - 8665*l - 10*l**3.\nAnswer: 25*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1127153 (base 9) to base 15.\nAnswer: c05e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2\/(-3))\/((-2)\/33). Let h(r) = -3*r + 128 - 67 - 62 + r. Let z(s) = 6*s + 3. Suppose 4*a - 20 = -4*d, 3*d - 7*a = -2*a + 7. What is d*z(c) + j*h(c)?\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 296950, 593889, 890820, 1187743?\nAnswer: 1484658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1857, -1897, -1933, -1965, -1993?\nAnswer: -2017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 7205*h**3 + 5602.\nAnswer: 21615*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - (-1 + 0)) + (3 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -789213.2 - -0.3331.\nAnswer: -789212.8669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -30 - -38. Let g(h) = 5*h**2 + 6*h - h**3 + 12*h**2 + 0*h**3 + 25 - 10*h**2. Let x be g(u). What is the highest common divisor of 72 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 + 3 + (-4 - 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 4, r: 1, g: 4, k: 4, h: 1, s: 5}. What is prob of picking 1 g and 1 w?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 89 minutes after 12:56 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -15.8 - -16. Let q = 2911\/28 - 417\/4. Which is the nearest to -0.2?  (a) 0  (b) q  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -17*t**2 + 115*t**2 + 16*t**2 - t**4 + 2*t**3 wrt t.\nAnswer: -24*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 400885.3nm in centimeters?\nAnswer: 0.04008853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -198, -1037, -3234, -7467, -14414, -24753?\n\"Answer: -113*y**3 - y**2 - 45*y - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2e (base 16) to base 5.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -33325, -33365, -33407, -33451, -33497?\nAnswer: -33545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2 and 8.3.\nAnswer: -16.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -4, 2226, -2, -11, -3, 2 in ascending order.\nAnswer: -11, -4, -3, -2, 0, 2, 2226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (11 - (7 - (6 + 11))) + -2?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 6029*v - 14. Let p be j(-2). Let o = -144733\/12 - p. Calculate the common denominator of -11\/27 and o.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -167022 divided by -3093\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 335425 is divided by 335418.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -11*a*h**3*j**3 - 2*a*h**3*j - 9619*a*h**3 + a*h**2*j + 37220*a*h*j**3 + 2*a*j**2 + 3*h**2*j**2 wrt j.\nAnswer: -66*a*h**3 + 223320*a*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 37123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2424 - -4600. Suppose -5*r = -13*r + i. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 2402*u - 24024. What is g(10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 47081702 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 928 is divided by 78?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -44135344 - 1153?\nAnswer: -44140541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2128\/3 - 4\/(-6). Suppose z = 5*g + 2*o - 341, g - 224 = -5*o. Let s = 1743\/8 - g. Calculate the common denominator of s and -28\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -166 + 94. Let w = 39 + f. Let z = 33 + w. Which is the third biggest value?  (a) -2\/11  (b) z  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2490 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -25 - (-27 + -16 + 17).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 4*y - 7 - 7, 2*y = 4*d - 8. Suppose 3*i = 3 + 3. Calculate the least common multiple of y and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/(72\/1886) - 6\/(-27). Calculate the highest common factor of j and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -154, -324, -528, -784, -1110?\nAnswer: -1524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 151 - 175 - (-51 - 6) - -41\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 21*(-1134)\/(-1029)*147\/70. Factor -3\/5*b**2 - 54\/5*b - v.\nAnswer: -3*(b + 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**2 - 12*u + 3. Let d(z) = -z - 1. Let x(m) = -6*d(m) + q(m). Let c be x(-7). What is the derivative of 3 - 4 + 4 + c*y**3 + y**3 wrt y?\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*w = 39 - 0. Let p = 6 - 1. Suppose 4*v - 40 = -5*b - 0*b, -p*v - 61 = -w*b. Solve 0 = -3*f - b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 17478 or 11607?\nAnswer: 11607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2015209.\nAnswer: 7, 287887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 2 j when three letters picked without replacement from {f: 9, h: 4, r: 1, v: 1, j: 4}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 522 - 118 = -56*c + 52*c for c.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -14.4104354 - 0.5895506. Let v = -21 - -36. Let c = u + v. What is c rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -437678030 + -8?\nAnswer: -437678038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -390*b**3 - b**2 + b - 65 wrt b?\nAnswer: -2340*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 27832?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**2 - 7*y + 66. Let r be d(4). Suppose -r = 3*j - 43. Sort j, 4, 1 in decreasing order.\nAnswer: j, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 26 + -21 - (8 - 10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -271*r - 15*r = 2860 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1087\/68 + 0 - 15 and 99\/238.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4326579, -8653158, -12979737, -17306316, -21632895?\nAnswer: -25959474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + (6\/27)\/((-3)\/(-27)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (6\/(-8))\/(11\/(-968)). Let o be (-2)\/((-3)\/(t\/4)). What is the greatest common divisor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(-2*sqrt(882) + sqrt(882) - sqrt(882)) - sqrt(882))\/((sqrt(6) - sqrt(6)*-2)*-3 - (sqrt(6) + sqrt(6) + (sqrt(96)*1 - sqrt(96)))).\nAnswer: -7*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 52755884?\nAnswer: 2, 79, 166949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a - g = -2*a + 17, 5*g = 4*a - 37. Let z be (-20)\/a*666\/(-15). Let b = z - -100. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**2 - 11*m + 33. Let l be h(-12). Suppose 18*o - l*o = 0. Let z(v) be the first derivative of v**4\/4 - v**3\/3 + v**2\/2 - 2*v + 1. Give z(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 227354 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -13 + 0. Let i = t - -13. Factor -4\/9*r**3 + 4\/9*r - 2\/9*r**4 + 2\/9 + i*r**2.\nAnswer: -2*(r - 1)*(r + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56766222 to the power of 1\/2, to the nearest integer?\nAnswer: 7534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 6*q + 29. Let m be v(-10). What are the prime factors of (m - -1)\/(7 - 1687\/238)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 0*l - 5 = 0. Which is smaller: l or -7\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 112 and 144.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/3792 and -77\/10112?\nAnswer: 30336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 76, 60, 56, 70, 108, 176, 280?\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -617439749*u - 20601005?\nAnswer: -617439749","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 763990 and 345990?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 42599.63865 rounded to the nearest 1000?\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 338155506.\nAnswer: 2, 3, 13, 37, 47, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.052 - 23.052. Let b = 83489.9978 - 83513. Let k = b - h. What is k rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6656968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 9*u**2 - 12*u - 121. Does 18 divide l(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.05204 rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 3, f: 2, l: 10, i: 1, o: 1, c: 1}. Give prob of picking 1 e and 1 f.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a**(-3\/2))**(-1\/22)\/(a**(-11\/4)*a*a*a*a\/(((a*a*(a**(-1)\/a)\/a*a)\/a)\/a)))**43)**(-47) assuming a is positive.\nAnswer: a**(70735\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(3*(0 + sqrt(2057) - sqrt(2057)))**2 - ((sqrt(1088) - (4 + (sqrt(1088) - (2*sqrt(1088))**2))) + 2 + sqrt(1088) + sqrt(1088) + -1).\nAnswer: -4349 - 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 40*k + 3. Let l(u) = -u - 1. Calculate -i(p) - 3*l(p).\nAnswer: -37*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 438 is divided by 51?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = 4*z + 2*g, 2*g - 1 = g. Let j(x) = 4*x - 2. Let t(l) = 4*l - 3. Let k(p) = 4*j(p) - 5*t(p). Calculate k(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 298\/6*108\/(-6). Let c = 1363 + t. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the third derivative of u**4\/24 + 5*u**3\/6 + 4*u**2. Determine p(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-220551744)\/150)\/(6\/5). Let n = d - -52858718027\/43140. Let p = 1\/719 - n. Is 4 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*u = -5*u + 65*u - 1550. Solve -24*c - 113 = u for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkc when three letters picked without replacement from {t: 1, z: 1, k: 2, c: 1, h: 1, r: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*c - 9*c - 12*c as r + p*c and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 88, 231, 442, 727, 1092?\n\"Answer: p**3 + 28*p**2 + 52*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -249 - -151. Let c = -62 - p. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1528759 is divided by 8995.\nAnswer: 8604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*y**2 - 20*y + 64.\nAnswer: -2*(y - 2)*(3*y + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -163, -634, -1413, -2500, -3895?\n\"Answer: -154*k**2 - 9*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 470447.7s in nanoseconds?\nAnswer: 470447700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {k: 6, w: 4, o: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - (3 - -5) - (18 - 28).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -31*q**3 + 6*q + 18. What is the remainder when 1301 is divided by t(-2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 179\/10 in 55\/4, -0.1, 2, 3\/7?\nAnswer: 55\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*p - 3*r - 0*r + 31, 5*p = -4*r - 31. Let y = p + 8. Let t(g) = g - 3 - 1 + 3 - y. What is t(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 548 and 11371?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2 + 3 + 1356\/(-7). Let l = 193 + n. Let z = -2.2 - -2. Which is the smallest value?  (a) l  (b) z  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 714280765*o**3 - 88221061*o**2 wrt o?\nAnswer: 4285684590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - g**4)*(348*g - 210*g + 499*g).\nAnswer: -637*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 2, w: 2, h: 1}. Give prob of sequence hyyw.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 21109 = 5*h, 3*v + 31*h - 35*h = 15793. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-33)\/77 + (-36)\/14. Let c(s) be the second derivative of s**5\/30 + s**4\/6 - 5*s**3\/3 + 5*s. Let p(z) be the second derivative of c(z). Calculate p(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -185 - -537. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 minus 5356?\nAnswer: -5359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the third derivative of l**6\/420 + 11*l**5\/210 - l**4\/7 - 2*l**2 - 270. Factor s(v).\nAnswer: 2*v*(v - 1)*(v + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*g + 3*g - 2*g)*(2*g**3 - g**3 + 0*g**3) + 194*g**4 + 1278*g + g**3 - 1278*g.\nAnswer: 192*g**4 + g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -251 in -5, -12256, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -40.9245832 - 0.0787168. Let t = -41 - x. What is t rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + v = 0. Suppose -5*n + 6*n - 6012 = v. Suppose -i - 8984 = 2*i - 4*k, 2*i = -3*k - n. What is i rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g**3 - 6*g**2 + 37*g - 12. Give w(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3494 divided by 78?\nAnswer: 1747\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000456733 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 minutes before 1:13 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3336188.\nAnswer: 2, 277, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 26556\/18 - (-29)\/(-87). Calculate the greatest common factor of a and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, r: 6, d: 4}. Give prob of sequence vr.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 15.326 and 0.5.\nAnswer: 7.663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 102 (base 4) to base 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a century in years?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 69 - 343\/5. Which is the nearest to -2?  (a) 0.2  (b) 1  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:13 PM and 3:25 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 1bb (base 13) to base 8\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/i**(-1\/5))\/(i**(-13)\/i) assuming i is positive.\nAnswer: i**(76\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the third derivative of 5\/3*b**3 + 0 + 3*b**2 - 1\/24*b**4 + 0*b**5 + 0*b - 1\/120*b**6. List the prime factors of q(0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1467 divided by -5\nAnswer: 1467\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 976, -20, -11.\nAnswer: -20, -11, 976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19423345 is divided by 102?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x**3 + 6*x**2 - 3*x - 4. Let n(r) = r**2 - 5*r + 2. Let o be n(5). Let a(c) = c**3 - c**2 + c. Let z(b) = o*a(b) + i(b). Give z(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ejae when four letters picked without replacement from jpaeepc.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1 - (220\/25 - 3 - 5). Which is the second biggest value?  (a) 2\/19  (b) 4\/5  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8619 is divided by 395.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -4*b**5 + 24*b**4 - 10*b**3 + 4*b**2 - 14*b + 14. Let d(m) = m**5 - 5*m**4 + 2*m**3 - m**2 + 3*m - 3. Let p(z) = 28*d(z) + 6*x(z). Factor p(j).\nAnswer: 4*j**2*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - q**2 + 3 + (0*q - 2*q + 4*q)*(2*q + 3*q - 3*q) + 2*q**2 + 1 - 1 + 209*q - 104*q - 102*q - 20 - 2*q**2)*(-q**2 - 2*q**2 - 3*q**2).\nAnswer: -18*q**4 - 18*q**3 + 120*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g\/((g\/g**(-4))\/g))\/(g**(4\/23)\/g*g))\/(g*(g\/(g\/(g**(-6\/7)*g)))\/g*g**(-34)) assuming g is positive.\nAnswer: g**(5101\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -27*b**3 + 4*b**2 + 3*b + 13. Suppose 158 = 2*t - 3*u, t - 4*u - 81 = -12. Suppose 73 = 4*p + t. Is d(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 89925, 90091, 90255, 90417, 90577?\nAnswer: 90735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10669, -10667, -10665, -10663?\nAnswer: -10661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 155934.\nAnswer: 2, 3, 8663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 4569, 9139, 13709, 18279, 22849?\n\"Answer: 4570*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6957263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6\/(-36) - 106\/12. Let t = -9 - f. Which is smaller: -1\/6 or t?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 50, -35, -200, -469, -866, -1415, -2140?\nAnswer: -3065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve t**5 - 23*t**4 - 26*t**3 + 48*t**2 = 0.\nAnswer: -2, 0, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:22 PM and 7:04 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:11 PM and 4:13 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g + 27*d = 180, -g - 281*d = -276*d - 38 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -163135 + 246607. List the prime factors of w.\nAnswer: 2, 3, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -30 + 25601?\nAnswer: 25541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 0.4, 5198, -1\/72?\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, p: 1, h: 1, d: 1, q: 1}. Give prob of sequence pq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 381*u + 3*u**2 - 377*u - 2*u**2 + 2*u**2.\nAnswer: 3*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 5305305 not equal to 5305309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.07049?  (a) 2\/7  (b) 1  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -301 + 31. Let y be (2\/4)\/(c\/(-108)). Suppose 4\/5*q**2 + y*q**3 + 2\/5 + q = 0. What is q?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1356 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1494*k**2*z**2 - 2*k**2*z + 7*k*z**3 - 3*k*z**2 - 17386360*k*z - 30*z**2 wrt z.\nAnswer: -2988*k**2 + 42*k*z - 6*k - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eerieerr. Give prob of sequence ri.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -31*m + 6. Let r be l(-4). Let z be (28\/5)\/(1\/(-10)). Let u = z + r. Is 21 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 (base 10) in base 5?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 380 divide 1319432200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 746 is divided by 92?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11767 (base 11) to base 12.\nAnswer: 9938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**3 - 6*g + 21*g**2 + 3*g**3 - 4*g**3 + 12*g**3.\nAnswer: 3*g*(g + 2)*(4*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 247 - 749 + 32*s + 249 - 47*s + 246.\nAnswer: -15*s - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 935 divided by -5.\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the first derivative of 2*b**3\/3 + 11*b**2\/2 + 4*b - 20. Let g be p(-5). Which is smaller: 2\/47 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*t - 4318 = -32*t. List the prime factors of t.\nAnswer: 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 15 = 4*z, 5*i - 168 = -z. Let j be 5*((-2)\/6 + i\/45). Solve k - 6 = -j*k, 4*u - 3*k = 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6903663 to the power of 1\/3, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 8076257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 6441822682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**3 - 6*p**2 + 5*p. Let l be s(5). Let c = 2 - l. Suppose -u = -5, -u + 0*u + 5 = -c*j. Solve j = -k - 2*b - 6 - 1, -4*k + 37 = -5*b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 1\/10 of a millennium?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4637\/1164 + -13\/194. Calculate the common denominator of 1 + (81\/(-6))\/(-1) and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 175343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 341 (base 7) to base 2.\nAnswer: 10110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*h - 48*h - 2*u = 2, u = -1 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p - h - 25, -3*p + 5*p = 3*h + 10. Solve 0 = i - g + 2, -5*g - p + 0 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 143 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(20\/3)*10\/12?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58050 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -120*j + 113*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1655*k - 1675*k + 3330*k - 3219*k**2 + 2 to g*k + l + r*k**2 and give r.\nAnswer: -3219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -28*(-1)\/10*7\/70*25\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 149\/360 and -97\/30186.\nAnswer: 603720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v**2 + 417. Calculate q(0).\nAnswer: 417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-70)\/(-6) - 4\/6. Suppose -5*f + y - 1 = 0. Suppose 4*q = f*p - 4*p + 34, 5*q - 37 = -2*p. Calculate the lowest common multiple of p and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the first derivative of -c**4\/3 - 56*c**3\/3 - 392*c**2 - 126*c - 119. Let w(x) be the first derivative of k(x). Find j, given that w(j) = 0.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (4\/28)\/(1 - 2). Which is the second biggest value?  (a) 1.6  (b) n  (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 (base 6) to base 15\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 142*g**3 - 1099*g**3 + 32*g + 956*g**3.\nAnswer: -g**3 + 32*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4a2 (base 13) to base 14.\nAnswer: 41a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f**3 - f - 1. Let s(a) = 4*a**3 + 4*a + 5. Let d(p) be the first derivative of -p**2\/2 - 2. Let q(r) = 2*d(r) - 2*s(r). Give 10*m(w) - q(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1519*k - 529*k = 1807 - 38671 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 70*o - 43*o - 36*o.\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/230)\/((15860\/(-975))\/122).\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*d - 2, -2*g + 30 = d. Let s = g + -12. Let n be (s - 3) + 0 + 8. Solve -5*l = -n - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 537 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -91*m + 88*m - 9. Let v(w) = -7*w + 4. What is v(m)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 - 5*w**2 + 0 + 860*w - 864*w to p + t*w + b*w**2 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3\/5  (b) -1  (c) -29  (d) 1\/104\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5189993*o**2*w - 112745237*o**2 wrt w.\nAnswer: -5189993*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 25229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.03186 - 0.07.\nAnswer: -0.10186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*d**2 + 0*d**3 + 4*d**3 + 2*d**2.\nAnswer: 4*d**3 + 6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4 - 31?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 3 c when four letters picked without replacement from {g: 1, f: 1, c: 1, a: 1, p: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -46*270\/(-96876)*(-9)\/(-5)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.598382 microseconds to seconds.\nAnswer: 0.000006598382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7 + -4. Suppose p*s - b = 55, b + 37 + 35 = 4*s. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g + 3*g = -141. Suppose g = 2*c + 2*i - 7, -69 = -3*c + 3*i. Let s = 56 - 47. What is the remainder when c is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-170)\/25 + 6)\/(6\/1275). Let c be r\/(-34) - 1*-2*-2. Let y(j) = j**3 + j**2 - j + 1. Let a(v) = 3*v**3 + 4*v**2 - 2*v + 2. Calculate c*a(x) - 4*y(x).\nAnswer: -x**3 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q + f + 97, 7*q = 4*q - 2*f + 53. What is the remainder when 24 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 162*m - 480. Let s be a(3). Solve 0 = -4*x - 4*o - 22 - s, -5*x + 3*o = 11 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.4 and 333330090333?\nAnswer: 333330090333.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 4*x**2 + x - 2. Let i(m) = -7*m**2 - 2*m + 3. Give 11*d(w) + 6*i(w).\nAnswer: 2*w**2 - w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*i**3\/5 + 6*i**2\/5 - 9*i\/5 = 0. What is i?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-52)\/((4\/17)\/(129\/731))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.075 + -0.925. Which is the fourth biggest value?  (a) -1.3  (b) k  (c) -0.4  (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c*c*c**(-1\/8)*c)\/c*((c*c*c\/((c\/(c*c**(-17)))\/c))\/c)\/c assuming c is positive.\nAnswer: c**(-97\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 275 - -5. Let b be a\/(-70) - (-94)\/17. Which is bigger: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x**3 + 10*x**2 - 15*x + 1. What is the units digit of y(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-6)\/(-12))\/(1\/4). Suppose 0 = d*o - 3*o. Are o and 2\/13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve n + 426*y - 430*y = -3, 0 = -y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 38 - 26. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8000\/(-22000)*(-5)\/(-5*2).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -4447349 less than -4447438?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r**2 + 21*r - 231. Let h(g) = g**2 - 2. Let o(y) = -2*h(y) - j(y). What is the remainder when 307 is divided by o(-26)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 313032 (base 8) to base 2\nAnswer: 11001011000011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20212121 - 110012120?\nAnswer: -12022222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9102632 and 15400.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 2975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 6.262954 millennia?\nAnswer: 6262.954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3\/(-2)*10\/(-3). Suppose a*f + 78 = 6*f. Suppose 8 - f = -5*d. Does 14 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*d = 3*y - 28047, 3*y - 28082 = -7*d + 3*d. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -5\/93 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:42 AM and 11:49 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -10.26 to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2099, -1988, -1803, -1544, -1211?\nAnswer: -804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 20*r + 165. Determine d(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 311 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15497, 31101, 46703, 62303, 77901, 93497?\nAnswer: 109091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*g**2 + 2*g**2 - 1 - g**3)*(-5 + 16 + 59)*(-g**2 + 4*g**2 + 2*g**2).\nAnswer: -350*g**5 - 350*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**4\/3 + 4*n**3 + 10*n**2 + 16*n\/3.\nAnswer: -2*n*(n - 8)*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*v + 3*v - 3*v + (-3 - 1 + 1)*(-735 - 3*v + 4*v + 720) as z*v + y and give y.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*i**2*s + 119*i*s**3 - 630*s**3 wrt i?\nAnswer: -4*i*s + 119*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 821664773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the first derivative of -x**4\/4 - 5*x**3\/3 - 4*x**2 - 5*x - 1. Is y(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t + 7. Let n be (10 - 4 - 2) + 0. Calculate the least common multiple of v(n) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 54 = -3*w, 5*x - w - 68 = -5*w. Suppose -c = -4*s + x + 17, -2*c = 4*s - 38. Sort s, 0, -5 in decreasing order.\nAnswer: s, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 2082602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 6949254 or 6949246?\nAnswer: 6949254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 2  (b) 0.16  (c) -1\/3  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/7, 0.175, -1 in ascending order.\nAnswer: -1, -2\/7, 0.175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -301 - -303. Suppose -l*y + 11 = 7. Let v be 5 + (0 + -1)\/1. Solve x = -2*x - v*c + 20, c = y for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -259\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 180 and 900?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6867508*m**4 - 50*m**2 + 84455 wrt m.\nAnswer: 164820192*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 10*p - 110. Let c be v(12). Solve -13*b = -15*b + c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:19 PM and 4:29 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + s - 2*s + 11*s)*(370*s + 7*s**2 - 370*s).\nAnswer: 70*s**3 - 14*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 125207 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = -8, -3*k + v = -k - 6. Suppose k*d = 4*d - 48. Suppose b = -4*h + 18, 2*b - d = -7*h + 2*h. What is the smallest common multiple of b and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, -0.2, -37, 3\/8 in ascending order.\nAnswer: -37, -0.2, 1\/4, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -1935.4399 rounded to the nearest integer?\nAnswer: -1935","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -1983*u**3 + 1983*u**3 + 324 + 2*u**4 + 2*u**2 - 111 in the form m*u**2 + s*u**4 + d + a*u + b*u**3 and give d.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -129  (b) -5  (c) 11  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -4, -b - 2 - 5 = -k. List the prime factors of (-4)\/(32\/(-12)) + 4172\/k.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 4, y: 1, l: 2, c: 6}. What is prob of picking 1 n, 1 c, and 1 l?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2101 - -3a9d?\nAnswer: 5ba0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 250, 251, 252, 253, 254?\n\"Answer: h + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*l - 2*l - 2*l + (-3 - 3 + 4)*(0*l + 3*l - 2*l) - 1 + 2*l - 4*l - 1.\nAnswer: -6*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -2*j**3 - 5*j**2 - 1. Let g(n) = 2*n**3 + 4*n**2 + 1. Let q be (6\/4)\/(18\/(-48)). Let p(h) = q*x(h) - 5*g(h). What is the derivative of p(c) wrt c?\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 minutes after 8:21 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 4*i = -0*j - 136, j - 5*i = 30. Let g = 59 - j. Is g a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (4\/(-8))\/(2\/(-24)). Find the second derivative of 3 - 9*m**3 - 9 - 8*m + l wrt m.\nAnswer: -54*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1354 - -1922. Suppose 0 = -3*c + 35 + o. Is (1\/3)\/1*c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 18, 28, 60, 126, 238, 408, 648, 970?\nAnswer: 1386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3  (b) -4  (c) -291  (d) 15\/16  (e) -0.2  (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-2 - -24)*2\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -791, -1522, -2259, -3008, -3775, -4566, -5387, -6244?\n\"Answer: -o**3 + 3*o**2 - 733*o - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -5*y. Let j(o) = 41*o + 6. Let r be (-10)\/4 + (-69)\/(-46). Let x(t) = 4*t + 1. Let a(w) = r*j(w) + 6*x(w). What is a(g(u))?\nAnswer: 85*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 588*p - 3. Let f be r(2). Suppose -f = 4*o - 4661. Find the second derivative of o*u**3 - 11*u - 13*u**4 - 872*u**3 wrt u.\nAnswer: -156*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 369207*f**3 + 347449*f.\nAnswer: 2215242*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -10*x**2 - 37*x + 13. Let c be 9*(-4 - (-50)\/15). Let i(j) = -5*j**2 - 19*j + 6. Let s(q) = c*m(q) + 13*i(q). Factor s(g).\nAnswer: -5*g*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 14438*j - 72184. What is i(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.375?  (a) 60  (b) 1  (c) -192  (d) 2\/9  (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2358*v - 2313*v - 117282 + 117282 to the form f*v + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.4, -1\/18, 2, 1\/2, 0.1, 5.76?\nAnswer: 5.76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the third derivative of x**9\/25200 - x**8\/11200 - x**7\/2100 + 5*x**4\/24 + 3*x**2. Let z(s) be the second derivative of j(s). Factor z(k).\nAnswer: 3*k**2*(k - 2)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -8*k - 4. Let d be p(-10). Suppose d = -0*r + r. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a + 3*a. Suppose a = 6*n - 10 - 2. Is (-1324)\/(-6)*3\/n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2505 - -3.\nAnswer: 2508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 63449.\nAnswer: 67, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 119*-257\nAnswer: -30583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -13*y - 14. Calculate j(-6).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 7*v = -c + 20, -3*v - 10 = -5*c. Suppose -23*l = -18*l + f - 44, -52 = -5*l - 3*f. What is the remainder when l is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*z - 42*z**2 + z - 230*z**6 + 263*z**6 wrt z.\nAnswer: 3960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*g - 2967 + 735. Let n = 228 - g. Which is greater: n or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 466143?\nAnswer: 3, 155381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 184449365?\nAnswer: 5, 41, 899753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5375850 or 43006809\/8?\nAnswer: 43006809\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.3 and -86.\nAnswer: -25.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 303 + 763 = 13*c. Calculate the highest common divisor of c and 16031.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of 518403388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:13 PM and 10:59 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 694?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1961*t**4 - 2176 + 2584 - 3*t + 3*t with respect to t.\nAnswer: 7844*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*y + 85 = -19 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 31, 45, 59, 73, 87?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s\/(s*(s\/((s*s**(-18))\/s)*s)\/s*s)))\/s**(2\/45) assuming s is positive.\nAnswer: s**(943\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*w**4 + 6034*w**3 + 840*w**2 + 6*w wrt w.\nAnswer: 48*w + 36204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**0\/g)**(-7\/8)\/((g\/(g\/(g**(-6)*g*g)))\/(g**(1\/5)*g))*((g\/g**(2\/3))\/g)**5*(g**(-2\/5)*g)**(-18\/5) assuming g is positive.\nAnswer: g**(349\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 359089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*x = 15*x - 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g + g = -3*a + 614, 0 = a - 4*g - 193. Calculate the remainder when a\/9 - (-4)\/(-6) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 16 = -0*i. Let b = -7 - -13. Suppose -4*r = 4*j - 12, r - 11 = -3*j - 0*r. Solve -3*u + b*u + 20 = j*g, -g = i*u + 14 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10718931 to the power of 1\/2, to the nearest integer?\nAnswer: 3274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**2 + 5*i - 8. Let d be f(-7). Let z = d + -3. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 15*s + 7*s - 66 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1234 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 8, -1\/2, -0.3, -3, -45\/16, -77, -1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k**2 + 6*k - 1. Let f be d(4). Let j(p) = p**3 - 6*p**2 - 4*p - 10. What are the prime factors of j(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -26.5 - -27. Let n = -13 - -51\/4. What is the closest to -1 in w, n, -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 y and 1 a when four letters picked without replacement from {b: 6, a: 3, n: 4, y: 4}?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (1179\/(-27) + 9)*(-183)\/488\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the second derivative of 8*h**6\/15 + h**4 + 9*h - 1. Find the third derivative of w(o) wrt o.\nAnswer: 384*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*l - 4 + 4)*(61 - 11 + 17).\nAnswer: 603*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -2\/5, 1\/2, -156, 0.1 in decreasing order.\nAnswer: 1, 1\/2, 0.1, -2\/5, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(104)\/(-4*sqrt(8)*2).\nAnswer: -sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - -1) + -45 + -48688 + 48672\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 143*k**2 - 8*k + 10. Let s(p) = 430*p**2 - 23*p + 28. What is -6*s(g) + 17*u(g)?\nAnswer: -149*g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1 + 7 + 1 + -3. Suppose j*z + 103 = 119. Calculate the remainder when 7 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.11 - -30.11. Let g = j + -29.7. Let p = -338\/5 + 68. Which is the third smallest value?  (a) g  (b) 0.5  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 196 + -189. What is the least common multiple of x and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = 5*m - 3*m - 82, -3*m = -5*w - 103. Let k be ((-4)\/(-5))\/(w\/3950). Let g be k\/(-18) + (-8)\/(-36). Solve -3*o - g = 6 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 23 = 3. Suppose 0 = -o + 3, 0 = -2*w - 0*w + 3*o - 13. Let d be 4 + (6\/w - 4). Sort -4, m, d.\nAnswer: m, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 113416099?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 + -33?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 562548 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-10870)\/42*(10 - 7))\/(3\/(-21)) is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -19395, -38515, -57357, -75921, -94207, -112215?\nAnswer: -129945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2 + 3)\/(-3*(-5)\/(-3840)). Let h = m + 2074. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the second derivative of c**5\/10 + 17*c**4\/3 - 77*c**3 + 360*c**2 - 9*c - 80. Suppose g(i) = 0. Calculate i.\nAnswer: -40, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/10, 5, 52 in ascending order.\nAnswer: -3\/10, 5, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 446 minutes before 10:10 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f\/f**(1\/17))\/f)\/(f\/f**(-2\/3))*((f\/(f\/(f\/(f*(f\/(f\/f**(-10)*f))\/f*f*f*f))))\/f*f*f)**21 assuming f is positive.\nAnswer: f**(10673\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-17)\/((-204)\/9))\/(1\/4). Suppose -60 = -3*u + 9. Let r = 23 - u. Solve r = 4*n + t + 3, n + 5*t - 1 - m = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*n + 3*n + n)*(-54*n + 54*n + 13*n**4).\nAnswer: -26*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 192134 - 135499. What is the thousands digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -17 + 25. Let l be (-4)\/(-10) + (234\/15)\/6. Solve -l*q = -q + g for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 199080036 to the nearest integer?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:24 AM and 8:38 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*i + 5*i + 29*i)*(-i**3 + 2 - 2 + (-84*i + 196*i - 78*i)*(7*i**2 + 9*i**2 - 12*i**2)) as o + z*i + a*i**2 + d*i**4 + y*i**3 and give d.\nAnswer: 5265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3705 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -182 + 182. Suppose r = 3*u - 101 - 157. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 47228*o**2 + 28478483*o - 603.\nAnswer: (o + 603)*(47228*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 12605 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11891 + -12046.97. Let u = -148.3 - k. What is u rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**1)**(-22\/5)*y*y*y**1*y*y*y**(-1\/21)*y assuming y is positive.\nAnswer: y**(163\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 538 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3549 is divided by 222.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10 + 4. Let w(h) = -h**3 - 6*h**2 + 4. Let a be w(t). Suppose -a*b - 5*m = -63 + 9, -4*b + 74 = -5*m. Solve 4*c + 3 = 3*k, -2*c - c = -5*k + b for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 63 + (2 - 5) + -6. Let d be -1*27\/(-15)*90\/k. Factor -d*f**2 + 0 - 9\/5*f.\nAnswer: -3*f*(5*f + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 77 + -6 + 0 + -1 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/(-18)*429*((-18)\/39)\/(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the third derivative of d**7\/840 + d**6\/30 - 17*d**5\/120 + 9*d**4\/8 - d**3\/3 + d**2. Let h(j) be the first derivative of i(j). Is h(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3576 divided by -447?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -247406648 - -0.061?\nAnswer: -247406647.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 - 107551960966741.\nAnswer: -107551960966737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 89 and 16376.\nAnswer: 16376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 105 times 0.14772?\nAnswer: 15.5106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2409917857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-6)\/(n**15\/n*n) assuming n is positive.\nAnswer: n**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6248015 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rjdd when four letters picked without replacement from {d: 5, j: 1, r: 3, l: 7, x: 3}.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n. Let x(p) be the second derivative of -11*p**7\/2520 - 5*p**4\/3 - 6*p. Let m(u) be the third derivative of x(u). What is m(h(a))?\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b + 13. Let y be a(-9). Let p(q) = -y - q + 4*q + 4 - 5. What is the tens digit of p(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 54*u**3 - 728*u - 25*u**3 - 31*u**3.\nAnswer: -2*u**3 - 728*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 45.2 - 33. Let m = f - 12. Sort -3, m, -0.5.\nAnswer: -3, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2343\/(-66)*(-317 - (-1 + 1))*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 20 = -4*a - 5*i, 0 = -3*a - 3*i + 72. Solve -3*w - a = -5*v, -v = -4*v + 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 361*u**3 - 118*u**3 - 143*u**3.\nAnswer: 100*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that o**3\/4 + 18422*o**2 + 773283*o = 0.\nAnswer: -73646, -42, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**12\/s*s**(-16))\/(s\/(((s*s**23*s*s)\/s*s)\/s))**(-22) assuming s is positive.\nAnswer: s**(-532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -16747 + 16750. Let r(v) = 3*v**2 - 2*v - 15. Let a(b) = -4*b**2 + 3*b + 16. Calculate f*r(n) + 2*a(n).\nAnswer: n**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -264799*x + 4002. Let i(b) = 662*b - 10. Give -2001*i(h) - 5*l(h).\nAnswer: -667*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z**2 + 2*z - 2*z)*(-4*z**2 + 4*z**2 + z**2) - 13*z**4 + 9*z**4 - 28*z**4.\nAnswer: -33*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*h + 492*h = -8082 - 4122 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 3, d: 2, g: 5, y: 5}. What is prob of picking 1 d and 2 g?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*a - 2*a - 14*a + 99300. List the prime factors of a.\nAnswer: 2, 3, 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 (base 6) in base 5?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t + 2 + 6. Suppose -2*j = -a - 45, -j - a + 12 = -9. What is the remainder when j is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the third derivative of c**8\/672 - 2*c**7\/105 + 5*c**6\/48 - 19*c**5\/60 + 7*c**4\/12 - 2*c**3\/3 + 9*c**2. Factor l(a).\nAnswer: (a - 2)**3*(a - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-13)*o**(-17)\/o)**(-3) assuming o is positive.\nAnswer: o**93","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -133*g**2 + 475*g**2 + 816*g**2 + 38*g**2 + 677*g**2.\nAnswer: 1873*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 43*z**2 + 722*z + 2877. What is j(-10)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the second derivative of m**5\/20 + 7*m**4\/12 + 7*m**3\/6 - 11*m**2\/2 + 15*m - 37. What is p(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 21564 and -5?\nAnswer: -107820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7050384139645507 - 7050384738141064.0000013. Let z = w + 598495528. Let n = z + 29. What is n rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -587, -3, -2 in increasing order.\nAnswer: -587, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**3 + 1. Let s(k) = 6*k**6 + 3*k**5 - 3*k**3 + 37*k**2 + k - 3. Let v(g) = 3*p(g) + s(g). Find the third derivative of v(b) wrt b.\nAnswer: 720*b**3 + 180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 46776480 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**2 - 2*n + 3. Let x be p(2). Suppose -y - 4 = x*y. Suppose -3*j - 2*i = -5, 5*j + 2*i = i + 6. Put 5, y, j in descending order.\nAnswer: 5, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*l - 314 - 126 - 63 = -783 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -318.7541 to one dp.\nAnswer: -318.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + r**2)*(8*r + 8*r - 20*r)*(2*r + 10 - 10).\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-2)\/(-4) + (-2 - (-55)\/10))\/14. Let p be (-2)\/(-8) - 1\/(-4). Which is the fourth smallest value?  (a) 1\/21  (b) 2  (c) p  (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*t - 4*v - 11 = -28*t, 139 = 391*t - 387*t + 3*v for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/3*72\/(-240).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.27968407 rounded to four dps?\nAnswer: 8.2797","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*m - 21 = -10*m. Let x(q) = 3*q + 7. Let w be x(m). What is the greatest common factor of w and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1748 and 8924.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -3 - (0 + (0 - 156)). What is the greatest common factor of t and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -73, -875, -3151, -7639, -15077, -26203, -41755, -62471?\nAnswer: -89089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 21, 148, 491, 1158, 2257, 3896?\nAnswer: 6183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*o**4 - 906*o**3 + 39492*o**2 + 40400*o.\nAnswer: 2*o*(o - 404)*(o - 50)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c*c\/c**(-26)*(c\/c**(1\/52))\/c)\/(((c**(1\/9)*c)\/c)\/c**(-5\/13)) assuming c is positive.\nAnswer: c**(13331\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.2844 + 0.7844. What is the closest to -1\/9 in -48, -0.3, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bkzb when four letters picked without replacement from bkbzzkbz.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 6*s**2 - 6*s + 3. What are the prime factors of x(-2)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6\/4 - (-2202)\/(-12). Let m be w\/2 + (4 - 1). Is 240\/11 + (-16)\/m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 246596 is divided by 10680?\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -3 - ((4 - -18) + -10 + -21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1081 + 496. Let t = 583 + f. Which is the closest to -1?  (a) -0.3  (b) t  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -2203*o - 156409. What is t(-71)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 940629731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -17717 - -0.26154?\nAnswer: -17716.73846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 165*v = 166*v - 300. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/6*(1 - 7). Find the first derivative of 2 - u**3 + 2 - 2*u**3 - c wrt u.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 272.5461 days?\nAnswer: 6541.1064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.15 in -52, 5, -2\/5, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 8*x**2 - x - 17. Let b(j) = -17*j**2 + 2*j + 35. What is -6*b(a) - 13*v(a)?\nAnswer: -2*a**2 + a + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(-4)\/5*(-8745)\/583?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-1*2\/(-2))\/(3\/(-6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -0*r - 5*y - 5, 0 = -5*r + 3*y + 3. Suppose d = -t + 28, r + 30 = t + 2*d. Solve -20 = -3*x + 5*c, -5*x + t = 3*c - 4*c for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -16*b**3*o**3 + b**3 - 2*b**2*o**3 - 707*b**2*o**2 + 22*o**4 wrt o.\nAnswer: -96*b**3 - 12*b**2 + 528*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 99\/(-15) - 2\/5. Let r be i\/(21\/(-6))*(0 - 2). Sort -9, r, -2 in decreasing order.\nAnswer: -2, r, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-2)\/4)\/((-4)\/16). Which is the smallest value?  (a) -4  (b) -6\/7  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -6 + -66?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - 1 - (2 + (2 - 9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -74767 divided by 971?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -92*a**3*d - 2*a**3 + 2*a**2*d + 5*a**2 - 1673*a*d - 3*a wrt a?\nAnswer: -552*a*d - 12*a + 4*d + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10)\/(-24)*(-28)\/(-70).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q. Let b(s) be the first derivative of -s**4\/4 - 5*s**3 - 7*s**2 + 2. Let z be b(-14). Determine a(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -43 + (44 - 56) - (20 + -1).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 500 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kqkqqkk. Give prob of picking 1 k and 3 q.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -85 - -130. Suppose q = 10*p - 9*p. Suppose -188 = -o + p. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -89769530 to the nearest one hundred thousand.\nAnswer: -89800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -262, 2, -168 in decreasing order.\nAnswer: 2, -168, -262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**4 - 3*u**3 + 69*u**2 - 9*u - 270.\nAnswer: -3*(u - 3)**2*(u + 2)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(4 + (-1 + sqrt(1573))**2)*2.\nAnswer: -12624 + 176*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*o + 3, 31*t - 10*t - o = -12*t + 1540 + 78 for t.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 p when two letters picked without replacement from fiwfwiicccpfcwfewefe?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -5, -15, -27, -41, -57, -75, -95?\n\"Answer: -h**2 - 7*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 25398*j**4*y**2 - 2*j**3*y**2 + 17238*y**2 + 2*y - 1 wrt j?\nAnswer: 101592*j**3*y**2 - 6*j**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) be the first derivative of -t**4\/4 + 7*t**3\/3 - 5*t**2\/2 + 6*t - 13. Give i(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a kilometer in meters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6 - 17\/(-3)) + (-2654)\/(-6). Calculate the greatest common factor of o and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16328244 and 39459923.\nAnswer: 473519076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -124230344 + 112?\nAnswer: -124230232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*q**3 + 10 + 16 - 26.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1870344 > 1870292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeaeeaaaaaaaaeeeaaa. What is prob of picking 2 e and 1 a?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 29315*b*r**5 + 2322*b*r**4 + 6410520*b*r**2 + b*r - r**3 - r**2 wrt r.\nAnswer: 1758900*b*r**2 + 55728*b*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1676, -6731, -15156, -26951?\nAnswer: -42116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**3 + 6*j**2 - 4*j + 27. Let n be a(6). Find the second derivative of -17*v**n - 97*v**3 - 3 - 62*v**3 - 13*v + 8*v**3 wrt v.\nAnswer: -1008*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -9*y - 13 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 230584010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 1 + -2 + (-30 - -24)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1480 + -156?\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, -6, -17 in decreasing order.\nAnswer: 0.4, -6, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 17540000 rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(1\/10)*o)**(10\/3)\/((o*o\/(o*o\/(o*o**(-24))))\/o**14) assuming o is positive.\nAnswer: o**(122\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 11feb (base 16) to base 3\nAnswer: 10202002220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q**3 - 12*q**2 - 23*q + 5. Is k(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g + 105 + 113 = -3*w + 212, 0 = 3*w - 5*g + 30 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes before 3:58 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**3 + 5*p**2 + 5*p + 8. Let d be x(6). Let h(f) = 3*f - 1. Let o be h(d). Factor 3*k**2 - k**3 + k**5 + 0*k**3 + 2*k - 2*k**o - 4*k**4 + k**4.\nAnswer: -k*(k - 1)*(k + 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -485097, -485102, -485111, -485124, -485141?\nAnswer: -485162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k + 2*k + 2*k)*(6*k - 20*k**2 - 4*k + 16*k**2).\nAnswer: -8*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 5*b = -5, 0*b + 4 = 2*q - 2*b. Solve h - q = -2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes after 1:19 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**2\/m)\/((m**(2\/5)\/m)\/m)*(m*m\/(m\/((m*m**(-1\/4))\/m)))**(2\/15)*(((m*(m*m\/m**(-4))\/m)\/m)\/m**(1\/5))\/((m\/(m\/(m**0\/m)))\/m)**(-25) assuming m is positive.\nAnswer: m**(-85\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 281919\/24969 + (-176)\/16 + 2\/(-7). Is f < 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -105 divided by 97370?\nAnswer: -3\/2782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 20.379 + -3.189. Let m = 1.32 + s. What is m rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-8)\/((-3512)\/(-62304) + 12\/(-198)) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -86453\/15920 - 7\/995. Find the common denominator of -3 + ((-45)\/9 - 263\/(-36)) and i.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express b**2 - 5 - 13*b**3 + 4 + 1 in the form c*b + p*b**3 + n + j*b**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-3\/2)\/w)\/w**4*w**5*w\/w**2*w*(w**(-1\/2)\/((w\/((w**(2\/21)*w)\/w)*w*w)\/w))**(-6\/25) assuming w is positive.\nAnswer: w**(-323\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -5 - 5. What is the highest common factor of 2 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 771 - 440. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 + -9. Suppose 0 = -24*d + 1826 + 3358. Let a be 2\/((-10)\/k) - d\/70. Which is smaller: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3882 - -3885. Put -0.5, f, -0.3, 39 in increasing order.\nAnswer: -0.5, -0.3, f, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -61919 + 61921 + 2*n**3 - 28*n + 55*n**2 - 559*n.\nAnswer: 2*n**3 + 55*n**2 - 587*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 186 is divided by 144.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -9\/3400 and 169\/920700.\nAnswer: 31303800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4626\/3*(2 - (-15)\/(-9)). Let s = 831 - l. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 6*c - 3. Let j(x) = 1681*x - 453. Let b(r) = -4*a(r) + j(r). Differentiate b(n) wrt n.\nAnswer: 1657","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -7*r**3 - 2*r**2 - r. Suppose -2 = q - a, 3*a - 4*a = -5*q - 6. Let v be x(q). Solve -4 = -2*d + v*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 14*l + 49. Let o be m(-4). Suppose -91 = -t - x, -3 = -3*x - 18. Let a = t - o. What are the prime factors of a?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 226744 is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -1866.78 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 80?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -451 + 450.5. Let k = 4 + 1. Put f, -0.3, k in decreasing order.\nAnswer: k, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-1)\/(y\/y**(-1\/7)*y)*(y\/y**(2\/7))**(-5\/9))\/(((y\/(y**(1\/4)*y*y*y))\/y)**(-1\/5)\/(y**(1\/4))**42) assuming y is positive.\nAnswer: y**(7951\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 7\/4 of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 381*b**4 - 1495*b**3 - 2347903*b wrt b?\nAnswer: 4572*b**2 - 8970*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a**5\/4 + 36*a**4 - 1419*a**3\/4 - 3669*a**2\/2 - 2457*a - 1014 = 0.\nAnswer: -2, -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m**3 + 18*m**2 - 23*m - 6. Suppose 5 = 24*i - 23*i - 5*q, -3*q = -6. Let d be z(i). What is the greatest common factor of 24 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -37 (base 10) to base 4\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 2 + 4)*(1 + 2*i - 1)*(-6 + 0 + 5)*(-5 + 3 + 1).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 24\/3 + 1324\/(-200) and 87\/10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2178*g - 2154*g = -120 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**3 - 3*b**2 + b - 4. Suppose 3*c + 3*d = 2*d + 101, 4*c + 3*d - 138 = 0. Let u = -17 + c. Suppose 0 = 4*m + u. What is i(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -6, 3, 7 in descending order.\nAnswer: 7, 3, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -b99a86 (base 13) to base 3\nAnswer: -22012122200212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f**3 - f**2 - 4*f - 4. Let q be c(-4). Let p = q + -11. What is the greatest common factor of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tf when two letters picked without replacement from fmtjuth.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 39*d**4*y**3 + 229726*d*y**3 - 30*y**3 - 344*y - 5 wrt d.\nAnswer: 156*d**3*y**3 + 229726*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -136076, -272713, -409354, -545999?\n\"Answer: -2*d**2 - 136631*d + 557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the second derivative of 0*t**5 - 21\/2*t**2 - 29\/30*t**6 + 0*t**4 + 0 + 0*t**3 + 12*t. Differentiate a(o) with respect to o.\nAnswer: -116*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the second derivative of t**6\/1080 - t**5\/360 + t**3\/6 + 2*t. Let l(w) be the second derivative of x(w). Solve l(u) = 0 for u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 2*c**2. Let y(n) be the second derivative of n**6\/45 + n**4\/12 + 3*n. Let m(t) be the third derivative of y(t). Give m(s(k)).\nAnswer: 32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-2\/15)*p*p)\/p*p**(-3))**(-44) assuming p is positive.\nAnswer: p**(1408\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p**3 - 5*p**2 - 5*p - 5. Let n be g(6). Suppose -7 = -2*f - n. Solve 0 = a - h + f, 2*a + 2*h + 14 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -79.00000055 - -79. What is x rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1567199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00037156 to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (5\/15)\/(44\/1089*11). Which is the nearest to -0.3?  (a) -3  (b) m  (c) 0.3  (d) -36\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {m: 1, s: 2, n: 1, q: 2, w: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -98\/5, 4, -0.19, 3 in decreasing order.\nAnswer: 4, 3, -0.19, -98\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12441\/(-1089) - 2\/(-6)) + 19\/209.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 11487*q**2 - 4*q. Let p(y) = -12*y**2. Calculate a(p(u)).\nAnswer: 1654128*u**4 + 48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 1 - 2 + 3 - 1 + 0 + (32 + 2 - 9)*(12 + 1 + 5)*(6 - 2 - 2))*(0 + 0 + 3*g) to k + p*g and give p.\nAnswer: 2703","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 227424, 455245, 683066, 910887?\nAnswer: 1138708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -6*f**3 - 6*f**2 - 81. Determine r(0).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 26702669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 39\/1703692 and -81\/170060.\nAnswer: 93703060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 2*a**3 + 35*a**2 + 60475*a + 1088885. Determine q(-18).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 12014250 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*h + 96 = 54*h - 69. Solve -5*w - h*a = 0, -w - 9*a = -13*a + 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*s - 10*s = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 441950417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**3 - 35*k**2 + 79*k - 25. Let t be i(33). Let d = 1145 - t. What is the highest common factor of d and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -88.8 - -89. Which is the fourth biggest value?  (a) -8  (b) -0.04  (c) 2  (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1*2 - 22\/10. Suppose 3299 = 7*r + 3327. Which is the closest to 0.1?  (a) 1  (b) r  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00982577284 rounded to six decimal places?\nAnswer: 0.009826","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -51*l + 3*l**3 - 6*l**2 + 3 - 3 + 54*l.\nAnswer: 3*l*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3385 - 87487 = -8*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.00278 to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8 + j + 8 + 7*j**2 - 7*j to the form s*j + p*j**2 + a and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0\/(-8)*(140\/10)\/14)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 5*u = -28, 4*i = -4*u + 8*u. Suppose -5*a - i*a**2 + 3*a + 2*a**2 = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 165 and 1410?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -112422 - -2?\nAnswer: -112420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in six fifths of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**3 + 8*u**2 + u + 11. Let h = -1 + 1. Suppose h = -l - 11 + 3. Let w be f(l). Solve -8*y + 40 = 5*m - w*y, -y + 28 = 5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (40 - 62) - -19.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 16*d*h*w**2 - 123*d*w - h*w**2 + h*w - 2*w**2 wrt h?\nAnswer: 16*d*w**2 - w**2 + w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*v + 3*i = -39*v - 5, 5*v = 4*i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -151*q + 83*q + 6800 = 68*q for q.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 3*f**2 - 2 + 3 + (28*f - 858 - 54*f + 24*f)*(5*f - f + f) as u*f + l*f**2 + n and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -42*d**2 - 66 + 39*d**2 + 88. Let p(k) = -k**2. Determine u(p(a)).\nAnswer: -3*a**4 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve q - 1117*s + 1119*s - 2 = 0, -3*q - 3*s + 9 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + -3 + sqrt(245)*1 + 0)**2*-2 + 3)*3.\nAnswer: -1557 + 336*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Convert -6 (base 7) to base 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 2*d = -2. Suppose 2*o + 3*u - d = -10, 0 = -u - 4. Suppose o*c + g = 28, 3*c + 26 = -g + 67. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**2 - 19*t - 22. Let k be p(20). Put 0, k, -5 in descending order.\nAnswer: 0, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -457 - -468. Solve -22 = o*s - 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -252137\/36240 - -549\/80. What is the common denominator of w and -7\/8?\nAnswer: 3624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**3 - p**2 + p + 1. Let a = -255 + 160. Let b = a + 94. Determine h(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -2*p + 1. Let b be 21\/14 - (-2)\/(-4). Suppose -11 = -4*s + b. Let w(o) = 0*o + 2*o + 4*o - s. Give -7*i(m) - 2*w(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the first derivative of d**2 + 1. Let x(u) be the second derivative of 1\/3*u**3 + 0 - 2*u + 0*u**2. Determine x(y(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -3*f**3 - 3*f - 10. Let t(d) = -d**4 - 5*d + 2*d - 2*d - 5*d**3 - 19. Let u(n) = -5*i(n) + 3*t(n). What is the first derivative of u(s) wrt s?\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 142, 1, -1, -11, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4711*n**2 + 2254 + 64358*n - 64358*n wrt n?\nAnswer: -9422*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 87\/4, 78, 9?\nAnswer: 87\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -r + k, -3*k = r + 14 - 0. Suppose -y + 6 = 2*y. Let v be (r\/y)\/((-12)\/(-18)). Sort v, 3, 0.1 in increasing order.\nAnswer: 0.1, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -42 - -49. Solve -2 = -p*f + 8*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.1 + -0.4. Let x be (186\/(-1736))\/((-2)\/(-4) - -1). What is the third smallest value in -1, x, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -23251, -46437, -69621, -92803, -115983, -139161, -162337?\nAnswer: -185511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-32)\/10*(-1420)\/(-1136).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:37 PM and 2:57 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -3*-2*25\/30. Suppose -821 - 279 = -y*t. What is t rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = -3 + 17. Suppose -4*y + q = -5. Suppose 2*u - 5*o - 12 = 0, u + 7 = -y*o - o. Let m(f) = -6*f**3 + 1. Calculate m(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -75768 - -15?\nAnswer: -75753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 295513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 216821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-6)\/21 + (-6028)\/(-77). Let b = a + -43. What is the greatest common factor of b and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 - (-9 + -4) - (1 - 12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 737258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 193 - 184. What is the remainder when 33 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the second derivative of -j**6\/30 - j**5\/5 - 5*j**4\/12 - j**3\/3 + 10*j. Find r such that b(r) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 56 and 16248?\nAnswer: 113736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**2 - 14*v - 49. What is r(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -7*y + 1. Let m be r(-1). Let p(i) = -i**3 + 8*i**2 + 2*i - 9. What is the units digit of p(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3\/7  (b) -43  (c) 159\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the first derivative of 3\/10*b**5 - 7\/8*b**4 - 6 + b**2 + 0*b + 0*b**3. Factor f(n).\nAnswer: n*(n - 2)*(n - 1)*(3*n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 466*g - 1403. Give i(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 3*p = 100. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3322 in 4\/9, 4, -1, 2, -9, 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5770 = -3*g + 4*y - 0*y, 4*g - 7725 = -y. Is 16 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*m**2 + 2*m**3 - 3*m**2)*(22 + 2*m - m - 108) - 25*m**3 + m**4 + 25*m**3 as j*m**4 + r*m**3 + b*m + c*m**2 + z and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + i = 2*i + 98, 4*i + 202 = 2*h. What is the remainder when h is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 - (-4 - 2 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6*o - 2*o**3 + o + 2*o wrt o.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 72 = 3*h. Let m(i) = -i**3 - 3*i**2 + 3*i + 1. Let f be m(-4). Suppose -211 + h = -f*j. Calculate the highest common divisor of j and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (6 - -6) + -36 + (-2 - (-6 - 4))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 77495 = 5*k, 3*w = -2*w - 3*k - 77503. Round w to the nearest one thousand.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 12*o**2 + 730*o - 731. Give j(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/(1 + (-39)\/21). Is k at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 6) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3030, -3031, -3032, -3033, -3034?\nAnswer: -3035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 78661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-8))**(-1)\/((l**(-8)*l*l)\/l)**(-2\/53) assuming l is positive.\nAnswer: l**(410\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**1)**(8\/5)*(p\/(p\/p**(1\/2))*p)\/(p*p**(3\/5)\/p) assuming p is positive.\nAnswer: p**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3.8 + 4.2. Let y = 63\/2 - 32. What is the second smallest value in y, -1, t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 107953639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -1  (b) -201  (c) -0.27  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-9\/2)\/(u\/(u\/(u**(5\/4)*u*u))))**(-41)\/((u*u\/(u\/((u**(1\/14)*u*u)\/u))*u*u*u)\/(u*((u\/(u**(-3\/5)\/u))\/u*u)\/u))**(-34) assuming u is positive.\nAnswer: u**(56249\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -615423 (base 7) to base 12.\nAnswer: -50a43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 8 - (-16 + (-5 - -13)). Let t = 205 - 194. Solve -t = -9*a + m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6811 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:42 AM and 11:57 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 5*h = 5 - 1, -2*h - 4 = -2*p. Suppose 4*s + s = -75. Let b = s - -18. What is the remainder when p is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-2)\/(-70))\/(5\/(-25)))\/((-1)\/(-259))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 23077 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**3*c**(-8\/3)*(c*c**(-2))**(-11) assuming c is positive.\nAnswer: c**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 144 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3121 + -12134344?\nAnswer: -12143020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -282*g**3 - 539*g**2 + 677*g**2 + 67*g**3 wrt g?\nAnswer: -1290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -7*h**3. Suppose 3*u - 3 = -2*r, -2*u + 10 - 27 = -5*r. Let a be x(u). Suppose s + 4 = a. Solve -22 = -4*q - 2*f, 5*f + s - 25 = q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(99) - (sqrt(99) + ((sqrt(99) - (sqrt(99) - -5*sqrt(99)*-1)) + sqrt(99))**2).\nAnswer: -3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 28 - 44. Let h = z + 16. Factor h*n - 2\/9*n**4 + 4\/9*n**2 + 0*n**3 - 2\/9.\nAnswer: -2*(n - 1)**2*(n + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -189495 (base 12) to base 16.\nAnswer: -69371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeeeereeeereeeereeee. What is prob of sequence ere?\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 - 0. Suppose 0 = -2*o - 8, 11*l - o = 13*l - 8. Solve -k = -t + 5, f + l = -3*k - 5*t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 7 + -11 - 1 - -10. Let w(a) = -a - 2. Let m be w(3). Calculate the lowest common multiple of m\/(y\/4*-2) and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 minutes after 8:22 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-2\/3)\/s**(-12\/7)*(s**20*s)**39 assuming s is positive.\nAnswer: s**(17221\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1220.8 and -8236.\nAnswer: -7015.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 3084 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.22 + 0.12. Let s = v - 3.9. Sort -0.4, s, 14 in descending order.\nAnswer: 14, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -31695 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = 47*g - 57*g. Solve 4 = -h + 5*d, h - 1 = -4*h + g*d for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -22 and 1.6.\nAnswer: -35.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 27*l*y**2 - l*y + 4*l + 7 wrt y?\nAnswer: 54*l*y - l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 13, i: 1, u: 1}?\nAnswer: 26\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*n = -44*m + 42*m - 2, -5*m - 3*n - 52 = 0 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10248 and 9534.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 3*g**2 + 7*g + 9. Let q(d) = 8*d**2 + 13*d + 19. Let w(p) = 5*a(p) - 2*q(p). Calculate w(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11214024311 (base 5) to base 12.\nAnswer: 42982a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -556 = -2*v - 548 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = 564 + 826. Find the first derivative of -3*x**2 - 310*x**4 + 20 + 3*x**2 + b - 71 wrt x.\nAnswer: -1240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7102?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.29, -2, -0.04, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1203 is divided by 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 614 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 0 = 45. Let r be z*2*(-2)\/12. Let d = r - 1. Solve -2*s - 4*x + x - d = 0, 2*x + 6 = s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -87587*v + 86702*v - 36285 = 0 for v.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 minutes before 7:50 PM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35 + -35 + -35 + 96 + 1.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the first derivative of -5 + 1\/4*f**3 + 3\/2*f + 9\/8*f**2. Find t such that u(t) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -3*t**4 + 414*t**3 - 13815*t**2 - 35700*t + 220500 = 0.\nAnswer: -5, 3, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3172519324.\nAnswer: 2, 13, 149, 409463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -6073, -6495, -6915, -7333?\n\"Answer: g**2 - 425*g - 5649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 424 + -201?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -4 - (2 + -2) - -7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -2*t**3 - 12*t**2 + t - 5. Calculate g(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of (-18080)\/(-1356) + 4\/6 and 2464?\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-25 - (-710)\/(-20))\/((-7)\/4). What is y in 44\/7*y + 2\/7*y**2 + u = 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -405\/7 + 58. Put p, 2, 5, 1 in increasing order.\nAnswer: p, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*h - 154*h - 6032 = 90*h for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*o**3 + 2*o**3 - 6*o**3)*(o**2 + 3*o**2 - 3*o**2) - 171*o**2 - 18*o**5 + 75*o**2 + 81*o**2.\nAnswer: -20*o**5 - 15*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5950621 kilograms to milligrams.\nAnswer: 595062.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the third derivative of 7*s**6\/30 - 17*s**5\/6 + 61*s**2. Find the third derivative of d(o) wrt o.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*q = 3*q. Suppose -r + 3*r - 10 = q. Suppose -5 = -5*z, r = -2*t + 5*z - 2. Is 2\/15 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -81\/40 and 11\/14.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(15)\/sqrt(5)*2 + ((sqrt(18)\/(sqrt(6) + 3*sqrt(6) + sqrt(6)))**2 - sqrt(3))).\nAnswer: 3\/25 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.163065 times -0.3\nAnswer: 0.0489195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ztzrrrrkhrzzttzhkz. What is prob of sequence ztkk?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 94129.\nAnswer: 7, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*c**2*o + 3*c**2 - c*o**2 + 11*c + 3317*o**2 + 23*o + 6631 with respect to o.\nAnswer: 2*c**2 - 2*c*o + 6634*o + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -23*x + 43. Let h be (1 + 1)\/1 - (34 + -34). Calculate r(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 161708911?\nAnswer: 7, 13, 59, 30119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = j - 20, 25 = 23*j - 18*j - 5*t. Put -1, j, -3 in ascending order.\nAnswer: -3, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 93\/47768 and -107\/40.\nAnswer: 238840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 218752646?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h**3 - 2*h**2 - 5*h + 11. Let r be g(3). Which is the biggest value?  (a) r  (b) 0.5  (c) -5  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 607*i**6 - 2*i**2 - 2210*i.\nAnswer: 72840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3410 + -2844. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1\/5*f**4 + 4\/5*f**3 - 4\/5*f**2 + 0 + 0*f = 0. Calculate f.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -419, -0.75, -3\/5, -9?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3806?\nAnswer: 2, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k**2 + 0 + 0)*(-k**3 + 0*k**3 + 2*k**3) + 2*k**5 + 2*k**5 - 2*k**5 + (0*k + 0*k - 2*k**3)*(3*k**2 + 0*k**2 - k**2).\nAnswer: -3*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, m: 3, b: 4}. Give prob of picking 2 m and 1 h.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 9.8 and -38314?\nAnswer: -375477.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11291 + 669*j**2 + 1443*j**2 - 11291 to the form p + k*j**2 + m*j and give k.\nAnswer: 2112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 140 a factor of 609840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of -37482863 and 0.02.\nAnswer: -749657.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*v - 16, -14 + 4 = 5*u - 5*v. Suppose 2*z - 64 = -u*z. Suppose -5*a = -z - 9. Solve -2*p + a*p + 15 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.314 + -32.794. Let f = g + 0.48. Let z = -28 - f. Which is the third smallest value?  (a) 2  (b) -0.6  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 10*z**2 + 32*z - 3. Is k(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9346302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*m**2 + 3*m**2 + 2*m**5 - m**5 + 5*m**5 - 3*m**5 + (-3 + 3 + 1)*(0*m + 0*m + 3*m**5) + 0 - m**5 + 0.\nAnswer: 5*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -599748 by -199916.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6)\/(-45) + (-1776)\/(-180). What is the third biggest value in q, 6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.01 times 3548\nAnswer: -35.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g + 2*y + 1609 = 1647, -489 = -4*g - 43*y for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1172, 2262, 3356, 4454, 5556, 6662, 7772?\n\"Answer: 2*q**2 + 1084*q + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**3 - 52*w**2 - 107*w - 49. Let q be c(54). Solve -3*a + 4*n - 9 = 9*n, 0 = -q*a - 2*n - 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -19843 or -32059?\nAnswer: -32059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v**2 - 28089*v = 0. Calculate v.\nAnswer: -9363, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 66738207 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: What is 15573.8523 rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*q - 232 + 221. Put 43, 4, 0, q in increasing order.\nAnswer: 0, q, 4, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f + 4*j - 2*j + 26, -5*f - j = 25. Let d be (10\/f + -1)*-2. Solve -2*g + 5*p = 10, 4*g - 5*p + d = -13 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2272.425 hours in minutes?\nAnswer: 136345.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(132)\/sqrt(64) + sqrt(33))\/((-3*sqrt(22))\/sqrt(2)).\nAnswer: -5*sqrt(3)\/12 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8 and 12284.\nAnswer: 24568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*f**3 - 71290030 + 71290030 + 6*f**3.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.01574352 + 0.01554. What is d rounded to 5 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*x - 5*x - 3 - 2*x)*(5 + 1 - 4).\nAnswer: 2*x - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(72)*3)\/((sqrt(36)\/sqrt(2))\/sqrt(3)))**2 + 0 + -5.\nAnswer: 3883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -606 + 1469. Is b a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*k + 12 - 21 + 10)*(k**3 - 2 + 2 + (-2*k**2 - 2*k**3 + 2*k**2)*(-3 - 4 + 5) + 3*k**3 - 5*k + 5*k).\nAnswer: 32*k**4 + 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -6, 9, 0.14, 0.4?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 483 - 972 - 123*r + 487.\nAnswer: -123*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -601193, -601199, -601217, -601253, -601313, -601403, -601529, -601697?\nAnswer: -601913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 21\/(2 - 21\/6). Let s be (-1 - (1 + -1))*13. Let b = s - p. Sort b, -2, 0 in increasing order.\nAnswer: -2, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q*q**(2\/5)*q*q**(3\/4)*(q\/(q**(-5\/3)*q))\/(q\/q**6) assuming q is positive.\nAnswer: q**(589\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 60?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 2*o - 264 = -0*o, 5*c - 303 = 2*o. What is the greatest common factor of 28 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.2 >= 2.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -2*i**2 - 10*i. Let f(h) = 16*h**2 - 7*h. Let t(w) = 7*w**2 - 3*w. Let y(o) = -3*f(o) + 7*t(o). Give l(y(j)).\nAnswer: -2*j**4 - 10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(2\/5)*j\/(j**4\/j))\/(j*j**(-7)*(j\/(j\/j**(-3\/10)))\/j) assuming j is positive.\nAnswer: j**(57\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*h**3 - 810*h**4 - 5*h**3 + 784*h**4 - 2*h to the form w + a*h**4 + q*h**3 + v*h**2 + i*h and give a.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b**3 + 16*b**2 + 25*b - 23. Let a be l(-14). Let w(g) = g**2 - 26*g + 141. Determine w(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7516*r + 19320 = -7508*r. Is 23 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-5)\/(j*j**2\/j)*j**(1\/3)*j**5)**(-13))**(1\/35) assuming j is positive.\nAnswer: j**(13\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 7*a - 126 = 0. Let q be 6\/a + 1480\/(-35). Let j be ((-7)\/q)\/(1\/3). Which is smaller: j or -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5069013832?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -11983, -24181, -36379, -48577, -60775?\n\"Answer: -12198*l + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b**(1\/50)*b))\/(b\/b**13))\/(b\/((((b\/(b*b**16))\/b)\/b)\/b)*b*b**(1\/11)) assuming b is positive.\nAnswer: b**(-5011\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 1 t, and 2 j when four letters picked without replacement from jztvjz?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7685787*n**3*x + 508*n**2 + 540*n*x wrt n?\nAnswer: -46114722*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Do 2\/3679 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 708 is divided by 71.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sum 5293 and -181701.\nAnswer: -176408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 75689792 and 4?\nAnswer: 75689792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 116 divide 18922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the second derivative of i**6\/360 - i**5\/60 - i**4\/8 + 13*i**3\/6 + 6*i. Let g(x) be the second derivative of m(x). Determine b so that g(b) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -36 - 37*n**3 + 36 + (-2*n - 1 + 1)*(10*n**2 - 80*n**2 - 2*n**2)*(-4 + 3 + 0).\nAnswer: -181*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 2856 greater than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27 - 56 - 178 - 80 + 63*r**2 - 64.\nAnswer: 63*r**2 - 405","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 != -2\/145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a**2 + 12*a - 5. Let v(u) = u**2 + 13*u - 6. Let q(k) = 6*b(k) - 5*v(k). What is the second derivative of q(d) wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -3*k**2 - 50*k + 2517. Give a(21).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in -1\/17, 3\/4, -0.06, 2\/7, -2\/11, -7\/4, -0.0243?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 - 9 = -5*h. Is (5 - (h - (-19)\/2))*-3814 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 156\/(-252) + 4\/14. Suppose 4*r - 27 = -11. Let t be (3 + -4)*(-2)\/r. What is the second biggest value in 1\/4, t, h?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*-2035.\nAnswer: -4070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**2\/6 + 6737*f\/6 - 26980\/3.\nAnswer: (f - 8)*(f + 6745)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m**2 + m - 1. Let z(u) = -2 + 8*u**3 + 7*u - u**4 - 14*u**2 + 3*u**3 + 3*u - 5*u**3. Let j(v) = -4*s(v) + 2*z(v). Factor j(r).\nAnswer: -2*r*(r - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-four fifths of a milligram in micrograms?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5 - 244524?\nAnswer: -244515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = 1015*c - 1011*c - 21, 0 = 5*c + t - 25. Solve -c*j = -5*u + 16, 2*u + 3*j - 9 = 2*j for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00711461 to five dps.\nAnswer: -0.00711","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -3*f**2. Let d(h) = 11411*h. What is d(m(b))?\nAnswer: -34233*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 1\/11, -0.09, -4?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4203 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 9, x: 5}. Give prob of picking 2 y and 1 x.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 38*-2*240\/(-48)*3\/60.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -7001 and -5510.\nAnswer: 38575510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -2*r - 10. Let p(b) = 8849*b**2. Give p(h(c)).\nAnswer: 35396*c**2 + 353960*c + 884900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75391 = 62*a - 11223. Does 24 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the third derivative of j**5\/330 - 5*j**4\/66 + 3*j**3\/11 - 52*j**2. Determine p so that s(p) = 0.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -364  (b) -29  (c) 136  (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l + b = 5, 64*l + 70*l + 5*b + 95 = 133*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5.96 - 6.36. Which is the nearest to i?  (a) 0  (b) 2\/11  (c) 5  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 338333?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*q**2 + 258788376*q - 5580951962726448.\nAnswer: -3*(q - 43131396)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 493 - 1531. Let c be 150\/((-9)\/x*1). What is c rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -35.2 + 52.3. Let x = i - 17.5. Which is the closest to -1?  (a) 0.4  (b) 8  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 203 + -210. Let x(u) = 2*u - 4. Let y(l) = -3*l - 9 + 3*l + 4*l. Give f*x(k) + 3*y(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 - 2)*((2 - 2 + 2)*(0*q + q + 0*q) + 0 - 5*q + 0).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5381 or 5237?\nAnswer: 5237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39117 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -29*u + 6. What is the tens digit of k(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**2 + 10*t + 3. Let h be r(-10). Suppose h*l - 26 = l. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -2*y**3 - 4*y**2 - 5*y - 1. Let f be n(-1). Let j(g) = -3*g**2 + g. What is j(f)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16*h**3 + 3*h**3 - h**3)*(4 - 4 + 2)*(-145 - 50 + 44)*(2*h - 4*h + 3*h).\nAnswer: -5436*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the third derivative of -7\/12*b**5 + 0*b + 5\/42*b**7 + 0*b**3 - 1\/3*b**6 - 3*b**2 + 5\/4*b**4 + 40. Factor m(r).\nAnswer: 5*r*(r - 2)*(r + 1)*(5*r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*x**2 - 21*x**2 - 22*x**2 to the form c + d*x + b*x**2 and give b.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 374477766 and 1794?\nAnswer: 1794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-5205)\/2765 - (0 - 2). Let i = f + 2\/79. Sort 1, -0.1, i.\nAnswer: -0.1, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5274.39126 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17155517 divided by 241627.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 21, 69, 113, 153, 189, 221, 249?\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 118612 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(2\/71)\/o*o*o*o*o\/(o*(o\/((o*o**15\/o)\/o)*o)\/o))\/((o**(-10)*o)\/(o**23*o*o)) assuming o is positive.\nAnswer: o**(3481\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 0.261  (b) -2  (c) -24  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 19287*g - 58. Is o(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + (2 - 3) + 3 - (-6 + 4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 277628 is divided by 1123.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9882 and 32076?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101100212 (base 3) to base 15.\nAnswer: 238b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f + 4*f + 2. What is the first derivative of -f + 3 - 4 - 37*i**4 + 5 wrt i?\nAnswer: -148*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 371.595 - 372. Let y = q + 0.385. What is the smallest value in -0.2, 4, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 - 3 - 2*g + (2 - 3 + 2)*(-6*g + 23 - 23) - g - g + 15*g + 5*g as m*g + p and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 16544993219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/(-3)*63\/(-6). Suppose 2*f - t*f = -70. What is the remainder when f is divided by (3 - 2 - 2)*-8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i + 298*a - 5 = -915, -5*i = a - 9 - 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1331961198.\nAnswer: 2, 3, 1301, 170633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-42)\/10*13\/(546\/(-70)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1339*j**4 - 24*j**3 - 4*j**2 - 5379396 with respect to j.\nAnswer: -5356*j**3 - 72*j**2 - 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 1.10283*-5\nAnswer: -5.51415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 431485148 to the power of 1\/2, to the nearest integer?\nAnswer: 20772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10389?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 74554821 by 2259237.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -112030302 + -31231?\nAnswer: -112112033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 7*g**2 - g - 2. Let v = -77 - -81. Let m(j) = -15*j**2 + 2*j + 4. What is v*m(w) + 9*q(w)?\nAnswer: 3*w**2 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x**3 - 12*x**2 + 11*x + 4. Let h be 2\/(-3)*36\/(-8). Suppose 2*f + 5*g = 41, -2 = h*f + 3*g - 41. What is the remainder when b(-13) is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 17\/161 and 39\/230.\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 65982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8868888 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 173\/376068 and -57\/2237686?\nAnswer: 1033810932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -72 - -73. Differentiate 18 + g + 3*x**4 + 6*x**4 with respect to x.\nAnswer: 36*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u - 6 = -2*x + u, -3*u = -2*x + 22 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**3 + l**2 - l + 1. Let h(i) = 3*i**3 + 9*i**2 - 9*i + 9. Calculate -4*h(y) + 36*u(y).\nAnswer: 24*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 34*n - 138. Give i(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1016 is divided by 129?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 9 = a, -4*b - 4*a = -15 + 3. Sort -3, -2\/33, b.\nAnswer: -3, b, -2\/33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**2 + 7*w. Let q be x(6). Let d = 1 - 0.6. Let k = -13 + 13. Which is the second biggest value?  (a) q  (b) d  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 3*v - 8 = 2*m, 2*m + 8 = -3*v. Suppose v = 4*b - 102 - 18. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 350\/(-50)*(-3)\/(-651)*-2\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 69+-64.26\nAnswer: 4.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the first derivative of -u**4\/3 + 7*u**3\/6 - 3*u**2\/2 + 34*u - 30. Let x(q) be the first derivative of l(q). Let x(p) = 0. What is p?\nAnswer: 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*d - 56 = -32 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**2\/3 - 154*r\/3 + 828.\nAnswer: 2*(r - 54)*(r - 23)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express ((0 + 1 - 2)*(-2 + 2 - 2) + 1 - 1 - 1)*(-146 + 101 - 239)*(-n**2 + n - n) as x*n**2 + t + o*n and give x.\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -55 + -1 + 4 + 36 + 118\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 4*h = 20, 0 = 3*h + 2*h + 25. Suppose 2*u - 19 + 113 = t. Let w = -27 - u. Solve 7*y - 3*y - w = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9576*q + 9607*q - 93 = 0. Let b(d) be the second derivative of d**4\/4 - d**3\/3 + 3*d**2\/2 - 2*d. Let s be b(2). Solve q*l + 2 - s = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1022 + -1016. Solve 6 = l*s - 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2735294 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -502*a**2. Let g(w) = -8*w**2. Give g(o(m)).\nAnswer: -2016032*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1058 and 230.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + (-4 - 2) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7820528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2457.5106 months in centuries?\nAnswer: 2.0479255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-297)\/(-13) - (-2)\/13. Suppose -48*b**3 + q*b**3 + 20*b**3 - 15*b - 45 + 25*b**2 = 0. Calculate b.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 232 and 66560.\nAnswer: 1930240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q - 437 = -3*n, 1175*q = 1179*q - 3*n - 328 for q.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (((sqrt(140)*1 + sqrt(140) - sqrt(140))*1)\/sqrt(7))\/(3*sqrt(160)*2 - sqrt(160)).\nAnswer: -2 + sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 0.2, 5\/2, -0.3 in descending order.\nAnswer: 5\/2, 0.2, 0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m - 20 - 82. Suppose -3*n - 5*c = -169 - m, -221 = -3*n - 4*c. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 3}. Give prob of picking 2 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b - 2*i - 2*i + 327, 0 = 4*b - 2*i - 1308. Suppose -2*w + 4*h + b + 359 = 0, -4*w = 4*h - 1408. List the prime factors of w.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 times -55568?\nAnswer: 22227.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*s**4 - 2*s**4 + s**2 + 6*s + 6*s**4 + s**3 - 2*s**4 as z + b*s**4 + c*s + v*s**3 + a*s**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fffj when four letters picked without replacement from {j: 2, o: 1, f: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -17\/55  (b) 0.3  (c) 171\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11410029 divided by 5.\nAnswer: 11410029\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/12 + (-48)\/(-18). Let b be (21\/14)\/(n\/6). Solve b = -4*h - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/45887555 and 71\/1220?\nAnswer: 183550220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1208, 1445, 1846, 2417, 3164, 4093?\nAnswer: 5210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the third derivative of 71*r**5\/60 + 43*r**4\/24 - 34*r**2. What is the second derivative of d(g) wrt g?\nAnswer: 142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:54 AM and 6:32 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -647960, -2591830, -5831610, -10367300, -16198900, -23326410?\n\"Answer: -647955*b**2 - 5*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 21\/14*(-68)\/(-2). Let d(x) = -22 + g - 28 - 8*x. What is d(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 25 + -22. Solve -4 + 1 = m*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4031328 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (u - 3*u + u)*(702 - 1282 + 675)*(-3*u + 3*u + 2*u).\nAnswer: -190*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 5*a + 0 = 12, -4*a - 9 = -u. What is the tens digit of u*(-1 + -2 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 849, 3420, 7713, 13734, 21489, 30984, 42225, 55218?\n\"Answer: q**3 + 855*q**2 - q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 14\/17, 23, 0.2, -0.3, -4, -0.1 in decreasing order.\nAnswer: 23, 14\/17, 0.2, -0.1, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*m = 20*m + 14. Let q = -11 + m. Suppose -5*u = -u - 4, -3*t = q*u - 480. Is 23 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = -3*k - 0*k. Let r = k - -5. Let y be 3*6\/9 - r. Solve -4*q = -f - 17, -y*f + f + 5 = -2*q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*g - 545 + 104. Let h = g + 67. Let c be 8 + -3*h\/12. Solve 4*w - i - 11 = 0, -2*w = -w + 4*i - c for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((12 - 9) + 0)*-1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -9 divided by -10\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*m - 15, -3*p + 4*m - 4035 = -m. What is p rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = 2*u + 18, -u - 45 = 4*u - 3*c. Let z be (-4 - -3)\/(2\/6). Let t be 1\/z - (-42)\/u. Let n(q) = q**3 + 5*q**2 - 2*q - 5. Give n(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 9 - 51 = 0. Let u = o + -11. Solve 5*a + u = -6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 30, 51, 30, -63, -258, -585?\nAnswer: -1074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 93286288 to the power of 1\/3, to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 161 a factor of 30268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 1675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000102403 to 7 dps.\nAnswer: -0.0001024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 - 1)*(3*i - 2*i + 0*i)*(12 + 10 - 2).\nAnswer: -40*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 195144879 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v - 6. Let h(p) = -p - 5. Let d(q) = 6*h(q) - 5*o(q). Let u(l) = -2*l + 15. Let i be u(-13). Let k(w) = -24*w**2 - 20*w**2 + i*w**2. Give k(d(g)).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -980 + 1725. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.7 + 1. Suppose -6*h + 14 + 10 = 0. What is the smallest value in h, -0.5, x, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v - 43. What is x(-34)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12160 - 6410. Does 115 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17918*m + 17918*m - 51*m**3 + 1 to c*m**3 + h*m + g*m**2 + b and give c.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/((18\/42)\/(-1))*(-42)\/(-7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 8*z - 7*z - 3.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 320 - 114 = 0. What is the remainder when f is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1425043971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u**2 - 16*u + 104. Let g be l(-21). Let x(m) = -2 - 3 + 4 + 12*m - m. Give x(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -72.89336 + 137.89245. Let q = 3.23 - -61.77. Let i = q - k. What is i rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d. Let l(f) = -f**2 - 7*f - 3. Let t be l(-6). Let c(a) = -t*a**2 + a - a. Give u(c(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(1872) + (sqrt(1872) + 2*sqrt(1872) - sqrt(1872) - sqrt(1872)) + -4 - 3*(sqrt(1872) + sqrt(1872) + 0)))**2*4.\nAnswer: 55296*sqrt(13) + 4315392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 19\/5  (b) 0  (c) 618\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3*(-1 + 2 + 0). Solve 6*n - n + 35 = h*z, 0 = 5*n + z + 15 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -91 - -640\/7. Let r = -745\/516 - -338\/43. Let l = r - 23\/4. What is the second smallest value in -0.1, l, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (-1 + (11 - -4) - -15 - -1)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.036 + 0.916. Let t = 2.88 - y. Let j be 12\/36*6\/8. Which is the nearest to 10?  (a) 0.5  (b) t  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 96229428.\nAnswer: 2, 3, 8019119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Put 32\/9, 0.3, -805, -1.1, -4 in increasing order.\nAnswer: -805, -4, -1.1, 0.3, 32\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -33*q**3 - q**2 - q - 8. Is b(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-4)\/(-8))\/(2\/48). Let d(f) = 2*f - l*f + 10*f - f**2. Let w(z) = -2*z. Calculate w(d(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 51221?\nAnswer: 17, 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 490961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 7205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -142392*n. Let a(t) = 22*t**2. Calculate a(b(z)).\nAnswer: 446060596608*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = -3*z + 1002, 3*z - 693 = z + 5*l. Suppose 3*k - 93 - z = 0. Calculate the greatest common factor of 36 and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (7104\/56)\/12 - (-12)\/28?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 677333610 a multiple of 3834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*o = 7*d - 42*o + 19, -5*d = -3*o + 37 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(20)\/(sqrt(10)*-4) + (sqrt(128)\/sqrt(8))\/sqrt(8).\nAnswer: 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*y + 14*y = 30 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = w + 2*w + 36. Let r = -8 - w. Suppose 0*f - 40 = -2*f. Calculate the highest common factor of r and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1720 or -626?\nAnswer: -1720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -32008 - -33661.11. What is m rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4567*d**2 - d + 646 wrt d?\nAnswer: 9134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4025 and 5991845?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 13.762 rounded to 1 dp?\nAnswer: 13.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*o = 5*q + 41, -2*o - 22 = -1122*q + 1126*q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 2 = 10, 3*a + n = 45. Is a a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 13*i + 29. Calculate l(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -63\/16 or -2\/43?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that -80*s**2 - 72320966*s - 5424072 = 0.\nAnswer: -904012, -3\/40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1243404044 + -4?\nAnswer: 1243404040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 4221 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -6026 divided by 5\nAnswer: -6026\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 42 - 89b11c?\nAnswer: -89b0aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -v**2 - 66*v - 65 = 0.\nAnswer: -65, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 458602 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 -1ad (base 14) in base 7?\nAnswer: -1006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) -0.08  (c) -1  (d) -0.4  (e) 222\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**2 - 1. Let t(l) = 194*l - 4 + 0*l**2 + 198*l - l**2 + 0*l**2 - 391*l. Determine 4*o(i) - 2*t(i).\nAnswer: -2*i**2 - 2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -2*n**2 + 10*n + 22. Let f be t(6). Is 2 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -4*v. Let a(c) = 71*c**2 + 16*c + 15. Let j(r) = 27*r**2 + 6*r + 5. Let g(s) = 3*a(s) - 8*j(s). Calculate g(u(k)).\nAnswer: -48*k**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z - 1. Let l(q) = 2*q + 6. Let u(v) = -3*k(v) + l(v). Calculate the least common multiple of u(5) and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (14*(-14)\/(-294))\/(0 - 4)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 113749879.\nAnswer: 167, 681137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -19.9 and -172989.\nAnswer: 3442481.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1078 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -30141*y - 12267369. Give b(-407).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -88*-1.43\nAnswer: 125.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8 - -2) + -6 - -14 - 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 20768597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g - 8. Let n be p(22). Find the third derivative of -9*c**2 + 5*c**6 - n*c**2 + 13*c**2 wrt c.\nAnswer: 600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -50.5 + 50. What is the nearest to 10 in -2\/7, q, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o = -2*l + 3*l + 7, 1305*o + 6 = -4*l + 1302*o for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a + 5*j + 5, -5*j - 7 = -2. Suppose 2*w + s + 76 = -s, -4*w + s = 137. Let p = w - -38. Solve k = -5*u - 0*k + 24, a = p*u - 2*k - 17 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**2 - 7868*n - 753746. Calculate h(-97).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 78 = 22*j - 10. Let d(u) = 6*u + 2. Give d(j).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*c - 124*c**3 - 2*c + 3 - 3*c + 5*c + 3 to p + h*c**2 + j*c**3 + w*c and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 3521 divide 1462799450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1 - -2. Let h be (-25)\/10*(-12)\/5 + 593. Let x = h - 5389\/9. What is the smallest value in x, -0.1, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 28*b + 141. Let k be r(-5). Is k less than 2\/11099?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = d - 4. Let c be d\/4 - (-361)\/38. Suppose c*w - 5*w - 12 = 0. Solve -4*q = -w*q - 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -146 divided by 6?\nAnswer: -73\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e and 2 a when four letters picked without replacement from aeaaqeleqlttqaltll.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 67725000 a multiple of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 3 - 3)*(-8 + 1 - 10)*(-6*y + 4*y + 0*y).\nAnswer: 34*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*z + 2*z = -28*z + 94 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 10001101011000001001000 (base 2) to base 8\nAnswer: 21530110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 135335.402 to the nearest one hundred.\nAnswer: 135300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 957178568 to the power of 1\/2, to the nearest integer?\nAnswer: 30938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 13038 and 636?\nAnswer: 26076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13657022 is divided by 1276?\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of (-6)\/(-8) - 106977\/104*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -79507*u**4\/5 + 90601*u**3\/5 - 2322*u**2 + 524*u\/5 - 8\/5.\nAnswer: -(u - 1)*(43*u - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 13\/5 of a millisecond?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1733102*d**5 - 4*d**4 + 6162859*d.\nAnswer: -34662040*d**3 - 48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40598*g - 5897*g + 3144*g.\nAnswer: -43351*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 176*i**2 - 4*i. Let t(o) = -37*o**2 + o. Let a(s) = 6*n(s) + 28*t(s). Let z(k) = k. Determine a(z(y)).\nAnswer: 20*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 204\/19 or 10?\nAnswer: 204\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 27 and 1998?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6983875, -13967751, -20951627?\nAnswer: -27935503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4*4*5\/(-120). Put 0.3, m, -10 in ascending order.\nAnswer: -10, m, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 37 = 2*c, -37*c - 3*h = -34*c - 33. Let g(k) = 7*k - 38. Let p be g(c). Solve -2*s + p = -0*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -4119*q. Let b(a) = -2*a**2. Give d(b(k)).\nAnswer: 8238*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 166 - 4 = 9*c. Let l(d) = -10*d**2 - 3*d**2 + c*d**2 - 3*d**2. Let h(f) = -10*f**2 + 6*f. What is l(h(b))?\nAnswer: 200*b**4 - 240*b**3 + 72*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -346 + 497. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/10*(-30)\/(-14)*74\/111.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -6*n + 4. Let f(v) = 11*v - 7. Let l(r) = -4*f(r) - 7*j(r). Let p(w) = w - w - 2*w. Give p(l(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -529321, -1058653, -1587983, -2117317, -2646661, -3176021?\n\"Answer: -c**3 + 7*c**2 - 529346*c + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.3133669 millilitres?\nAnswer: 0.0003133669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*b + 56 = -22*b. Suppose 0 = 4*t + 4*d + 8, d + 2 = 3*t + 2*d. Let k = t + b. Let x(q) = q**2 + 7*q + 3. Determine x(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*f**2\/3 + 630392*f\/3 - 24837129604\/3.\nAnswer: -4*(f - 78799)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 9*j - 9*j**3 - 9*j + 0*j**2 + 2*j**3 + 0*j**2 + (6*j**2 - 3*j**2 - 4*j**2)*(-j - 2*j + 2*j) - j**3 + 8*j**3 - 4*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.3, -124, 5\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-10)\/(-6))\/(-5))\/((-595)\/105)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes after 5:19 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*n + 2*f - 3*f - 4, -4*n + f + 10 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 127532*a*q**3 + q**3 - 16*q**2 + 1710*q with respect to a.\nAnswer: 127532*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2b306 (base 14) to base 12.\nAnswer: 52336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*5*-4*3\/60?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 3\/10 of a century?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 2, e: 5, p: 4}. What is prob of sequence ee?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -222103 - -343242. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -8*h**4 + 4*h**3 + 8*h**2 - 4*h = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence osq when three letters picked without replacement from {q: 2, o: 8, s: 2, t: 5, d: 2}.\nAnswer: 16\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -0*i + 3*i. Suppose -2*v = i*v + 5. Let r be 1 - v*(6 - 3). Sort -4, r, -2.\nAnswer: -4, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = 396 + 1636. Does 55 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g + 662 - 647 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*s**4 - 11*s**3 + 4*s**4 + 5*s**3 + 9*s**3 - 5 - 2*s + 4*s**3 to the form q*s**2 + z*s + a + j*s**3 + w*s**4 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -4130658*y**2. Let v(p) = -4*p**2. Determine q(v(g)).\nAnswer: -66090528*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0 - -1) + (-11)\/13. Let d = 4636 + -4636. Is m smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -36 <= -145\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of -84 and -65259.2.\nAnswer: 5481772.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k**2 + 58*k + 162. Let q be s(-3). Let r(t) = 3*t - 25. Let m(c) = -c + 8. What is q*r(y) - 8*m(y)?\nAnswer: -y + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 4463970351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -73 + -311350945.31?\nAnswer: -311351018.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -784*j - 2. Let x be p(-3). Suppose -w + x = 4*w. Round w to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 29461\/294490 - 6\/147245. Let j be 10\/8 + 2\/(-2). Which is the closest to -0.4?  (a) j  (b) s  (c) 2  (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**2\/3 + 135788*r\/3 - 135782.\nAnswer: -2*(r - 67891)*(r - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1674107979?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 4*r - 7. What is l(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1473*y**3 - 10*y**2 - 10*y - 52103 wrt y?\nAnswer: -4419*y**2 - 20*y - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 72 and 7152?\nAnswer: 21456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-2)\/14 - (-24)\/21) + 4. Suppose -7*d + 3492 = v*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4998 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -10*o**4 + 3*o**4 - 5*o**4 - 3*o**4 + 3*o**4 - o**4 + (-23260 - 90*o + 23260)*(o - o + o**3).\nAnswer: -103*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -11101001011 (base 2) in base 15?\nAnswer: -847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12020 - 10330. Calculate the remainder when a is divided by 77.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1 - (-12 + 5))\/(-2). Let q = -0.66 + -0.14. What is the second biggest value in q, b, -2\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 minutes after 10:17 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = c. Suppose -4*z + 3*z = c. Suppose z*m = 5*m, -m = p - 2. Solve p*i - 4 = -0*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*(s**9\/s)\/s)\/(s**(5\/7)\/s)*s**(-2\/7)\/(s**1\/s) assuming s is positive.\nAnswer: s**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 29 + -33. Which is the third biggest value?  (a) -0.5  (b) o  (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -529 = 6*h - 1597. Suppose c - 2*j - 40 = 2, -2*j = -5*c + h. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4922 and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -2*v**2 - 3576*v - 1008826. Calculate k(-351).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -700434 divided by 38913?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 513\/(-36)*(-2008)\/(-753)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -10*j**5\/3 + 7328*j**4\/9 - 6574*j**3 + 151108*j**2\/9 - 14176*j + 3776 = 0.\nAnswer: 3\/5, 2\/3, 3, 4, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 56250*i. Let y be v(-16). Round y to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 61.5 + 23.4. Round n to the nearest integer.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 2*b**2 + 26*b + 27. Does 5 divide p(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -100.98 + 100.98. Let r be ((-1)\/3)\/((-4)\/3). What is the second smallest value in 4\/9, i, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0\/(3*(1 - 2)\/(-1)). Is 3 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/33804 and 97\/8?\nAnswer: 67608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 144*g**2 - 723*g**2 + 3*g**2.\nAnswer: -576*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*6.296.\nAnswer: -0.6296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1110101110001001 - -1001011100001?\nAnswer: -1101100010101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -2.562, -4\/7, 96029 in increasing order.\nAnswer: -2.562, -4\/7, 96029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 58092 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 79955?\nAnswer: 5, 15991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8.5 + -5.8. Let x = -29946045 - -29946047.7000074. Let g = x - p. What is g rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (12 - -1 - 2) + 1. Suppose -4*d = r + f, 2*r + 0*r = d + 12. Suppose -g = -r*g. Is -1\/6 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 30 = 5*v, 2*f - f = v + 2. Solve 3*q - g + 0*g = 3, 5*q = v*g + 9 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -416 - -377. Calculate the remainder when 345 is divided by (91\/i)\/((-2)\/60).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-59)\/236*(-6)\/(-27)*-1*33.\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 976186991?\nAnswer: 13, 75091307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 625 or 736?\nAnswer: 625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 486*t - 1253 - 260 - 1889 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 975840 divided by 3.\nAnswer: 325280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1.5?  (a) -2  (b) 3.172  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35\/(-21) - (-1446552)\/81?\nAnswer: 7, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3*a*d*i**2 + 4*a*d*i + 2*a*i - 80*a - 27*d*i + d - 6 wrt i?\nAnswer: 6*a*d*i + 4*a*d + 2*a - 27*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 67 divide 3828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 * -60.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 9) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (3 + -2 + 1 - (5 - 11)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 229*t**2 - 229*t**2 + t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 8010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, 4, 5, 1\/4, 0, -1249 in increasing order.\nAnswer: -1249, -1\/4, 0, 1\/4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 2302069, 4604141, 6906213, 9208285?\n\"Answer: 2302072*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**33*r**(1\/12)*((r*((r**(-6)*r)\/r)\/r)\/r)\/((r\/r**12)\/r))**(-3\/22) assuming r is positive.\nAnswer: r**(-457\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q**3 - 7*q**2 - 2*q - 33. Let v(w) = -w**3 + 25*w**2 - 23*w - 16. Let j be v(24). Let h be m(j). Solve n + 3 = 7*a - 3*a, -5*n = 4*a + h for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**3 + 8*z**2 + 7*z + 2. Let i = 35 - 37. Let d = -3 + i. Calculate the remainder when x(d) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**3 - 12*c**2 - 21*c + 18. Let s be v(-10). Solve -30*y + s*y = 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1362*x**2 + 1263*x**2 + 210*x**2 as t + o*x + r*x**2 and give r.\nAnswer: 2835","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = -33*j + 25*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-6)\/3*-4 + -4. Solve 8 = -3*y - c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.42 less than -227.288614596?\nAnswer: -229.708614596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19290146 is divided by 1855?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 3*y**3 + 1. Let u be d(1). Let r(j) = j**2 - 2*j - 2. Let w be r(-2). Solve -u*z = -5*a - 20, 0 = -5*a - w*z + 2*z + 20 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2012 and 66396.\nAnswer: 66396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r and 1 k when three letters picked without replacement from {r: 6, k: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 351216826 and 22.\nAnswer: 3863385086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -129?  (a) 4  (b) -4\/3  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 256 and 544.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*u + 80*u + 40*u = -139*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -25*h + 43*h - 2232. Solve 0 = -6*o - 112 + h for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((180\/21)\/(-15))\/(1\/7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 + -2 - 0) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 68*w + 20*w - 84 = 0. Solve 5*c = -4*l - 9, -3*c - 4*l = w + 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v\/(v*v**4*v)*(v**2\/v)\/v)\/((v\/(v\/v**(-6\/7)))\/v**(3\/5)))**(5\/3))**(-3) assuming v is positive.\nAnswer: v**(124\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of -52691.3 and 0.31.\nAnswer: -16334.303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z + 10 = 2*v - 5*z, -2*v - 6 = -z. Which is the closest to v?  (a) -3  (b) 0.4  (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 24205862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 539 minutes before 9:26 PM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (10\/35)\/(5\/70) + 1097.\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in v**2 + v**2 - 8575 + 8575.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19358, 77421, 174212, 309731?\nAnswer: 483978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (-5 + -1 + 5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (3\/(-1) - 0) + 144\/(-8). Let l = i - -25. Suppose 5*j - 6*x - 4607 = -3*x, 4*x - 3660 = -l*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwwwwwwwwwnqqwwqnw. What is prob of picking 2 n?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -10.8 + 15.03. Let u = 4 - q. Let d = 0.22901 + u. What is d rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 60, 0.7, -0.2, -1\/4, 251, 2\/5, -4\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.4 in 2, 0.3, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 633\/12 + (-4)\/(-16). Does 11 divide -2 + (k - (2 + 0))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s - 1. What is g(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/4, 3\/2, 2, -0.5, 1\/11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2792\/9 >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2e - 3?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*i**4 + 2670*i**3 - 23625*i**2.\nAnswer: -5*i**2*(i - 525)*(i - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 55, 7, -2058, 1 in descending order.\nAnswer: 55, 7, 1, -2058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/4?  (a) -5  (b) 2  (c) 4\/9  (d) 5  (e) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f - f + f + (2*f - 5*f + f)*(4 - 2 + 0))*(0*f - 3*f - f)*(4*f**2 - 4*f**2 + 3*f**3) + (-3 - 4*f**3 + 3)*(-4 - 1 + 3)*(2*f**2 + 0*f**2 - 47*f**2).\nAnswer: -300*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -417 + 165 = -6*v. Differentiate -31 + v + 38*s**3 + s + 117 wrt s.\nAnswer: 114*s**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n + 4*n = -5*g - 19, 5*n - 30 = 4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 65 + -87 + 3 - -65?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 49602?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 67716799.\nAnswer: 3823, 17713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -10*k**3 + 27*k**2 + k - 2. Let c be n(3). Let v be 26\/(2\/(-2) + 0). Do v and c have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand p**3 - 2 + 2 - 22*p**3 + 14*p**3 - 19*p**3 + (-2*p + p + 3*p)*(3*p - 2*p**2 - 3*p) + 3*p**3 - 9*p**3 - 3*p**3.\nAnswer: -39*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 8*k + 3 = 0. Let b(q) = -q**2 - 6*q - 6. Let t be b(-5). Are k and t equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5252041432 + -5?\nAnswer: -5252041441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7 - -1. Let j be a\/(-12)*(-153)\/64. Let c = j + -331\/32. What is the common denominator of c and 119\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c*c*c**(4\/5)*c))\/c**(1\/3)*c**2\/c**(2\/3) assuming c is positive.\nAnswer: c**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, -1, -0.38, 5.\nAnswer: -1, -0.38, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 57 and 291840?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 231023 is divided by 366?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u and 1 r when three letters picked without replacement from {p: 8, m: 2, u: 2, r: 5, k: 2}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 + 6. Suppose -4*x = q - 242996, -o*q + 728996 = -q + 4*x. Round q to the nearest ten thousand.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2127688?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -9176 smaller than -64241\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 17491 - 6081\nAnswer: 11410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1152, 1136, 1102, 1044, 956?\n\"Answer: -c**3 - 3*c**2 + 1156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 324*k**3 + 1261*k**3 - 730*k**3 + (2*k**3 - 4*k**3 + k**3)*(0 - 1 + 0).\nAnswer: 856*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1*(0\/2)\/4. Suppose -r + 18 = -a*u + u, 0 = -2*r - 10. Suppose 0 = 4*h + u - 7. Which is smaller: h or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.007637997 rounded to six dps?\nAnswer: 0.007638","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13.51686um to kilometers.\nAnswer: 0.00000001351686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 98*y**2 - 115*y**2 + 32*y**2 + 83*y**3 - 15*y**2.\nAnswer: 83*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:47 AM and 4:06 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.0935 times -649.77\nAnswer: 60.753495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2\/3  (b) -0.2  (c) 1\/3  (d) 17.876  (e) -5  (f) 0  (g) 2\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*k - a - a - 51, -5*k = -3*a + 61. Let y(m) = 1. Let r(w) = w**2 + 3. Let z(t) = k*y(t) + 4*r(t). Differentiate z(s) with respect to s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 146 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 592674737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 12 + -9 - 157\/52. Let l = t - -59\/364. Let n = 2 - 4. What is the biggest value in n, l, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2180*w**3 + 936 - 437*w**3 - 11*w**2 - 14*w**2 - 954 wrt w.\nAnswer: 10458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the first derivative of -5*b**7\/7 - 7*b**6\/6 - 5*b**3\/3 - 7*b**2 - 621. Find the third derivative of u(d) wrt d.\nAnswer: -600*d**3 - 420*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from nonnoo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, 2, 0.02, 3\/3863, 0.8 in decreasing order.\nAnswer: 2, 0.8, 0.2, 0.02, 3\/3863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.05 + 1976235.\nAnswer: 1976235.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 870?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 101602660 to the nearest integer?\nAnswer: 10080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -j**4 + 15*j**3 + 467*j**2 wrt j?\nAnswer: -24*j + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 63.63 - -0.37. Let j = 63 - n. What is the third biggest value in j, -8, -5, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -42*z - 109. Give i(0).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (15 - (8 + 32)) + -8?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**2 + 1. Let l(p) = 68*p**2 - 6. What is l(c) + 6*t(c)?\nAnswer: 62*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 - 15 = 4*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 106*v - 648*v - 349610 = 2106*v - 95402 for v.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x**2\/5 - 73606*x\/5 + 4265784\/5 = 0. Calculate x.\nAnswer: 58, 73548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 32\/(-40)*(-5 - 0). Suppose -o*h = -3*h. What is the smallest value in 4\/5, h, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 1122\/505?\nAnswer: 1122\/505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 103011.\nAnswer: 3, 34337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -191, -774, -1743, -3098, -4839, -6966, -9479?\n\"Answer: -193*f**2 - 4*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 29\/582640 and 31\/219072640?\nAnswer: 219072640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2 - 104334?\nAnswer: -104340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 = 4*f - 5*w, f + 2*w - 2 = -23. Let u be (-93)\/f - 2\/10. What is the remainder when 117 is divided by (1 + (-3)\/u)\/((-10)\/(-480))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 717, 0.5, 30 in decreasing order.\nAnswer: 717, 30, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*q**2 - 4*q**2 - q**2)*(-q**3 + 4*q - 4*q) + 0*q**5 - q**5 + 2*q**5 + (-q**4 - q + q)*(6*q - q - 3*q) - 10*q**5 + 2*q**5 - q**5.\nAnswer: -9*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -3*g - 2. Suppose 5*o = -16 - 4. Calculate the lowest common multiple of l(o) and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 687984 and 1584.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 381 a factor of 226242977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1*-2)\/(-22 + (-690)\/(-30)) + -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 491, 32, 2, 5 in descending order.\nAnswer: 491, 32, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11 - 36 - 2 - 6*j + 20.\nAnswer: -6*j - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ps when two letters picked without replacement from srjpps.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3831, -3838, -3859, -3900, -3967, -4066, -4203, -4384?\nAnswer: -4615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the third derivative of -g**6\/504 - g**5\/105 + g**4\/42 - 3*g**3\/2 - 79*g**2. Let a(n) be the first derivative of d(n). Factor a(l).\nAnswer: -(l + 2)*(5*l - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7 - -1. Calculate the remainder when 8\/30 + 46*326411\/42090 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60 = 2*l - 180. Is 21 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2628866 (base 9) to base 8\nAnswer: -5366246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the first derivative of -178*c**2 - 21*c - 427. Find the first derivative of q(s) wrt s.\nAnswer: -356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 559906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -48754, -98097, -147440, -196783, -246126?\n\"Answer: -49343*g + 589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/(-14))\/((-30)\/10780*11).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 27.82364kg?\nAnswer: 27823640000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:32 AM and 2:44 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -238 bigger than -433?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -580 - -589. Is (z\/((-459)\/(-136)))\/((-4)\/(-1506)) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 divided by -22.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 0.8078141 grams?\nAnswer: 0.0008078141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1164 by 194.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes before 2:01 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2553311 to the power of 1\/2, to the nearest integer?\nAnswer: 1598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 116424 is divided by 651.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.68 + -0.1. Let t = p - -1.76. Put -5, t, 1\/3 in ascending order.\nAnswer: -5, t, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 1988.86212 microseconds?\nAnswer: 0.0000000032884625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*o + 2*o + 72 = 0. Let g be (-1 + -70)\/(4 + -10). Let x = g - o. Which is the nearest to 1\/2?  (a) x  (b) 0.1  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 2*z + 20. Is 24 a factor of 2 + 107 + z + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -103 - -84. Sort 3, -1, f, -4.\nAnswer: f, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 88.43041 decades to centuries.\nAnswer: 8.843041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r**2 + 5*r - 2. Suppose 4*k - 2*k = -14. What is c(k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 717435.418 rounded to the nearest 10000?\nAnswer: 720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 45454115 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 78*u - 15. Let p(i) be the third derivative of -11*i**4\/24 + i**3\/3 - 39*i**2. What is 2*l(n) + 15*p(n)?\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -10*s**2 + 8*s + 20. Let t(z) = -3*z**2 + 3*z + 7. Let m be ((-22)\/(-33) + 0 + -2)*(-24)\/(-4). What is m*t(w) + 3*x(w)?\nAnswer: -6*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 246718, 246665, 246608, 246547, 246482?\nAnswer: 246413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2883*l**3 - 8*l**2 + 3*l - 23 wrt l?\nAnswer: -17298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 2*m - 102 - 24 = 0, 0 = -3*s - 3*m + 129. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1614, -1616, -1620, -1626, -1634?\n\"Answer: -x**2 + x - 1614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(24)\/(-1*sqrt(108)) + 5)**2.\nAnswer: -10*sqrt(2)\/3 + 227\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(2\/9)\/a**(34\/7) assuming a is positive.\nAnswer: a**(-292\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-5)\/40 - (6 + 8\/(-11712)*9759). Which is smaller: 2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 2*t = -t - 7, -m = 2*t + 8. Suppose -m*a = 4*j - 18 - 18, 0 = 4*j - 4. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - 8 - (-12 - -6) - (3 - -10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 82 = 2*f, 103*f + 1 = 102*f. Solve 20*y = 24*y + j for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let u = -11 - -7. Let c = -73 + 78. Suppose -c*s + 25 = 4*m, 5*s - 1 = -3*m + 19. Put -2, u, s in descending order.\nAnswer: s, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.122795 to 3 decimal places.\nAnswer: -0.123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 13946*p**4 + 27293*p?\nAnswer: 167352*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -83, -181, -307, -467, -667?\n\"Answer: -d**3 - 8*d**2 - 67*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6117 + 6116.91719. Let u = v + 0.082. Round u to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 6\/14687197 and -38\/10490855.\nAnswer: 73435985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2303, -2301, -2299?\nAnswer: -2297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = -2*p + 18, 3*p = -2*n + 5*n - 27. Calculate the highest common factor of 72 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**0)**(-35)*(v\/(v**(-2\/7)*v))**(-2\/11)*((v*v**(1\/11))\/(v**(-7)*v*v))\/(v**(-5\/3)\/v**(-3\/5)) assuming v is positive.\nAnswer: v**(-32218\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11100.\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3335039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -3087 <= -3103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -3*k**3 - 441*k**2 - 545*k - 15616. Determine l(-146).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 equal to -2\/9638371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v**3 - 2 + 2)*(-v + 3*v + v) - 4*v**4 + 2*v**4 + 0*v**4 + (21*v - 54*v - 42*v)*(-v - v + 3*v)*(-4*v**2 - 2*v**2 + 4*v**2).\nAnswer: 151*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.4 + 0.96. Let r = -0.04 - p. Which is the closest to 2\/7?  (a) r  (b) -0.1  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14 + -9 + (2 - 10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2331378 > 2331377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -8*g**2. Suppose -2*s - 16 + 120 = 0. Let r(x) = 58*x - 190*x + s*x + 49*x. Calculate r(f(l)).\nAnswer: 248*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-44)\/(-12) + (-6)\/(-18). Let i(p) be the second derivative of -1\/4*p**2 + 0 - 1\/120*p**5 - 7\/36*p**3 - 5\/72*p**q - 2*p. Solve i(r) = 0 for r.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 329167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/6 and 53\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4286021 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*j + 17992 + 5325 = 749. Calculate the lowest common multiple of 2093 and j.\nAnswer: 16744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ooogodoggsjs. What is prob of picking 2 g, 1 s, and 1 j?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) 4  (b) 3  (c) -3\/7  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -94*w**6 + 4*w**4 + 222*w**2 + 1 wrt w.\nAnswer: -11280*w**3 + 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*1*sqrt(500))**2 - sqrt(500)) + sqrt(500).\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 - ((0 - 6 - (-12 + 5)) + -1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 322 minutes after 4:17 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2948 times -327?\nAnswer: -963996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0 - 6 - -3) + 0\/7. What is the biggest value in s, -3\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -177*a*r**4 + 8*a - 2*r**4 - 157 wrt r.\nAnswer: -708*a*r**3 - 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1859299936.\nAnswer: 2, 13, 1831, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 78977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1347 divided by 449?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 54722567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -56*10.\nAnswer: -560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -925 + 2078. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 12\/14*6096\/(-81) - 3. Let b = i - -436\/7. Find the common denominator of 33\/5 and b.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -747 - -734. Let o(w) = -79933*w - 129. Let m be o(i). Round m to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 1171389020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 89 a factor of 533822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k + 1. Let u be 4\/10 - 24\/10. Let w(i) = -8. Let a(r) = r. Let d = -50 + 42. Let c(g) = d*a(g) - w(g). Calculate u*c(z) + 14*t(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z + 5 - 3. Let v(s) = -3*s - 41. Let x be v(-13). Put 3, x, z in increasing order.\nAnswer: x, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -42725, -42700, -42657, -42596?\n\"Answer: 9*v**2 - 2*v - 42732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1194*x**3 - 299*x.\nAnswer: 7164*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 4 = -19. Let g(t) = t**2 + 2*t - 12. Let i be g(b). What is the least common multiple of 28 and 16 - (i\/(-1) + -1)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v**3 - 18*v**2 - 14*v - 22. Let z(t) = t**3 + 18*t**2 + 13*t + 22. Let x(u) = -3*b(u) - 2*z(u). Calculate the remainder when x(-17) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*v - 350 = 60. Let w(j) = 4*j**2 + 39*j + 208. Calculate the remainder when w(-7) is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p = -55 + 7. Suppose 2*t + 104 = 4*j, -2*j + 5*t + 125 = 3*j. Suppose -h + j = 11. What is the least common multiple of h and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1131.\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 759.0175 to the nearest ten.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Do 72465 and 54803 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -51325 - 4?\nAnswer: -51333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -2*y**3 + y. Suppose 2*g = -q - 7, 4*g + 2*q = -q - 19. What is l(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 4, g: 9, r: 1, w: 2, m: 1}. Give prob of sequence wr.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 4*h + 4. Let g(p) = -3*p - 4. Let f(r) = 5*g(r) + 4*x(r). Let u be ((-4)\/8)\/(2\/16). Calculate f(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 54559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add 1249777373 and 0.29.\nAnswer: 1249777373.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 1202122 (base 3) to base 6\nAnswer: 5542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 6*g**3 + g. Let y = 95 - 94. Let k(l) = 26*l**3 - 2*l + 1. Calculate the remainder when k(y) is divided by q(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 112725\/8 - 140459\/10. Let s = i + -389\/8. Let p = -94\/37 - -3\/74. Calculate the common denominator of p and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11222023001 (base 4) to base 10.\nAnswer: -1483457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4108119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 728142?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1139.2133 rounded to the nearest integer?\nAnswer: 1139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/(-80) - 4654\/17184?\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ra when two letters picked without replacement from ttfyrraa.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 61ed (base 15) to base 10.\nAnswer: 20698","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d\/(d*d\/((d\/(d**(-4\/7)\/d)*d)\/d)*d))\/d*d)**(1\/9)*(d**(-10))**(-32))**(-1\/26) assuming d is positive.\nAnswer: d**(-10082\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7 - 5. Suppose -t = -q - 0*t - 8, 0 = -q - y*t - 14. Is q\/((-3)\/6*1) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0  (b) 65  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 383 - 269 = 2*g, 5*z - 72 = -g. Solve 10*s + g = -28 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 91740 and 153873.\nAnswer: 33852060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4222, -8460, -12698, -16936, -21174, -25412?\nAnswer: -29650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -28, 67, 284, 671, 1276, 2147, 3332?\nAnswer: 4879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0002435 to 6 decimal places.\nAnswer: 0.000244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:07 PM and 10:30 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 526217330.\nAnswer: 2, 5, 37, 67, 21227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -5, 10, -3 in decreasing order.\nAnswer: 10, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-8)\/(-39 - 9))\/(6\/(-12)). Which is the nearest to 1?  (a) n  (b) 2.1  (c) -69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/17 in -1, -2671350, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 72 - 207. Let u = -75 - n. Suppose -10*v = -5*v - u. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/18 - 16\/9. Let q = -872 - -873. Sort q, z, 1\/6.\nAnswer: z, 1\/6, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2026 in 0.2, -2, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -1  (b) -102\/7  (c) 0.3  (d) 7  (e) 2  (f) 0.002  (g) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.6 + 0.599795. What is j rounded to 5 decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.036605 rounded to four decimal places?\nAnswer: 0.0366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -252500?\nAnswer: 1\/252500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 996 + -1398. Let j = -401.5 - g. Sort 2, -0.3, j, 1\/4.\nAnswer: -0.3, 1\/4, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 + 2 - (-25 - -19).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 22*s**3 - 478*s**2 + 16*s + 10. Let c(k) = 15*k**3 - 318*k**2 + 10*k + 6. Give 8*c(p) - 5*i(p).\nAnswer: 10*p**3 - 154*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10689 and 94773?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 846330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 4*s - 19 + 55 = 0, 3*s = 5*z - 37. Suppose -z*n - 11 + 1 = 0. Does 14 divide (n + -1)\/(45\/(-210))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-23229)\/(-58) + -2 + (-7)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**3 - 13*g**2 + 12*g + 3. Let b be a(4). Let s = b - -133. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -44 - -483\/11. What is the closest to -1\/4 in -0.5, k, -5, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -123 + -67. Let b = -571\/3 - j. Sort 0.056, 0.1, b in decreasing order.\nAnswer: 0.1, 0.056, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22407299449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (543\/((-192765)\/994))\/((-4)\/(-50))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -2*z. Let m(c) = -230*c**2 - 6*c. Let l(j) = 2301*j**2 + 59*j. Let g(o) = 6*l(o) + 59*m(o). Give g(u(q)).\nAnswer: 944*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1941 + 3910. Do y and 1970 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00071991641 rounded to 7 decimal places?\nAnswer: -0.0007199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -15*p**3 - 13*p**2 - 13*p - 2. Let h(s) = 7*s**3 + 6*s**2 + 6*s + 1. Let c(k) = 2*k + 4. Let x be c(0). Let f = -17 + x. What is f*h(n) - 6*a(n)?\nAnswer: -n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the second derivative of -243\/2*g**2 + 0 + 67*g + 9*g**3 - 1\/4*g**4. Factor c(h).\nAnswer: -3*(h - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i**3 - 7*i**2 + 6. Let h(s) = -2*s**2 + 5*s + 7. Let r(y) = -y**2 + 3*y + 4. Let c(k) = 3*h(k) - 5*r(k). Calculate 6*c(l) - q(l).\nAnswer: -l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*n**3 - 11*n**3 + 6*n**3 + n - 13*n**4 - 2*n**2 to the form z*n + j*n**3 + s + x*n**2 + b*n**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -7\/5 >= 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4 - -9. Let v(m) = m**3 + 6*m**2 - 1078*m + 74. Let u be v(-36). Which is the closest to -1\/4?  (a) u  (b) 4  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 + 8. Let f = o + -1. Suppose -21*h = -18*h. Solve h = m + f*m - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3828941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 53323, 106517, 159723, 212947, 266195, 319473?\n\"Answer: h**3 + 53187*h + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 27  (b) -2  (c) 41  (d) 0.028  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -7*w**2 + 20*w - 55. Let h = -6 - -12. Let b(g) = -4*g**2 + 2*g - 4 + 11*g - 30 + 6 - 3*g. Let i(p) = h*z(p) - 10*b(p). What is u in i(u) = 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(8)\/(-2*sqrt(16)\/sqrt(4)) + 4*(sqrt(50) + 2))*2.\nAnswer: 16 + 39*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, 4, -21, 1, 23, 0, -2 in decreasing order.\nAnswer: 23, 12, 4, 1, 0, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 5819.897nm in millimeters?\nAnswer: 0.005819897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(25)*3*-6)\/sqrt(5).\nAnswer: -18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 258*z + 112 = 202*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the first derivative of 0*w**2 + w + 1 - 4\/3*w**3. What is the derivative of k(b) wrt b?\nAnswer: -8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3500 and 245?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 83*v**5 - 5*v**2 + 7*v + 11 wrt v.\nAnswer: 1660*v**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 5*c - 38 = -2*h, h = c + 20. Is 18 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f = -r - 3, -3 = -2*r - r for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -l + 4. Suppose 0 = -f + d + 13, -l*d - 28 = -f + 2*d. Calculate the least common multiple of f and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 92203\/16 + -5760. Let h be -2 - ((-44325)\/(-6))\/5. Let i = h - -1433. Find the common denominator of i and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 9\/308 and -117\/27188.\nAnswer: 299068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 65*w**4 - 2122*w**3 + 5*w**2 - 2237764*w - 2 wrt w?\nAnswer: 780*w**2 - 12732*w + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**2. Let z(m) = -14*m**2 + 11*m + 15*m**2 - 18*m**2 - 23*m**2. Let j(i) = -8*i**2 + 2*i. Let r(g) = 11*j(g) - 2*z(g). What is r(n(t))?\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -8138, -16276, -24414?\n\"Answer: -8138*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2291306*u + 146966 wrt u.\nAnswer: -2291306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 1 + 2*f)*(94*f**2 - 75 + 75) as p*f**3 + b*f + c*f**2 + i and give p.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3978.2 and 0.3.\nAnswer: 1193.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 348*t**3 + 295?\nAnswer: 1044*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -5*a + 6. Suppose 0 = 7*m - a*m - 40. Is 8 equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 0 + sqrt(468)*2 + -5 + -1)**2.\nAnswer: -168*sqrt(13) + 1921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -13 by 131.\nAnswer: -13\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6027 is divided by 57.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -12\/8381 and 67\/87.\nAnswer: 25143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/(-3)*1551\/(-22)*-2. Suppose -132 = -3*s + 3. Let f = s - q. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*u**2 + 2 + 10*u**2 - 2 to r*u**2 + w*u + v and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**2 - w - 1. Give m(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 639 minutes before 5:42 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, 0.5, -4968\/995?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 - 9. Let a be -8 - (-3)\/f*-2. Is a equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -206*d**4 - 15*d**3 + 5058*d**2 wrt d?\nAnswer: -4944*d - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -c**2 - 4*c + 1. Let k(d) = 3*d**2 + 3*d - 15. Let n be k(-11). Let v be (-3 - 1) + n\/21. Let a = v - 13. Calculate g(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -5, -27, -57, -95?\n\"Answer: -4*n**2 - 10*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(272) + 1 + 4*sqrt(272) + sqrt(272) + sqrt(272) + sqrt(272) + sqrt(272))*-2 + (sqrt(272) + 4 - sqrt(272))*5 + 4)**2 + -3.\nAnswer: -3168*sqrt(17) + 88609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -3*t**3 - 18*t**2 - 11*t + 22. Let m be b(-5). Factor 2\/3*g**5 + 0*g + 0*g**m - 4\/3*g**3 - 2\/3*g**4 + 0.\nAnswer: 2*g**3*(g - 2)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in eleven quarters of a micrometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((1650\/(-20))\/(-11))\/(9\/(-120)*4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j + 5*r - 14, j + 111*r = 107*r + 12. Let z(k) = k**3 - k**2 - 9*k + 4. What is z(j)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, 7\/29, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.6 or -374?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(297) + sqrt(297))\/sqrt(3) + 3.\nAnswer: 3 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 5\/6  (b) 3\/2  (c) -0.1534  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -152.4 rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 3*m = 2. Let t = 0.12 + 0.08. Which is the nearest to t?  (a) m  (b) -0.4  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3 + -16?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -q**2 + 6*q - 4. Let g be o(6). Let l(t) = -3*t - 5. What is the units digit of l(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hsh when three letters picked without replacement from {h: 5, s: 7}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5 + 8. Let p = q - 3.0000011. Round p to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2.6 - 2.7. Let t = 545 + -540. What is the closest to a in 0.7, -3\/5, t?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xzpj when four letters picked without replacement from xoxljllxlzxllzpx?\nAnswer: 1\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:48 PM and 2:19 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7 - -7.07. Let a = 23.93 - 26. Let y = a + u. Put -2\/7, 1, y in ascending order.\nAnswer: y, -2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**2 - 24*z + 17. Let p be v(-25). Which is smaller: p or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 32*h - 2640 - 41936. Suppose p + a - 309 = 1088, h = p + 5*a. What are the prime factors of p?\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3 and -3798258.\nAnswer: 11394774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 629, 702, 773, 842?\nAnswer: 909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 1419097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*p - 15 = -43*p + 19*p, 25*p + 6 = -3*i + 23*p for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 4, c: 2, n: 7, h: 5}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 30.1 - 30. Which is bigger: w or 7\/4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 4*q - 15 = 0, -7*w + 4*w + 5*q = -24. Suppose -4*t = -3*c + 17, w*c = -3*t + 9 - 27. Is 24 + (c*3)\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*q - 2301 = -79*q + 551 for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.032 + -1.268. Which is the nearest to -1?  (a) -2  (b) f  (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7430740?\nAnswer: 2, 5, 79, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/8 - (-7948)\/16. Let x = d - 4961\/10. Calculate the common denominator of 73\/2 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + 2 + 0)*(-127 + 74 - 92) + (4 + 4 - 3)*(2 - 4 + 3))*(2*f**2 + f**2 - f**2).\nAnswer: -570*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 96406 and -3.\nAnswer: -289218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 71*p = -74*p + 144*p + 7, 2*p - 29 = -5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 369 and -2?\nAnswer: -738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7402 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-2\/9)\/p**(-3\/10))**(-3\/17)*((p*p**(-2))\/((p**5\/p)\/p))**14 assuming p is positive.\nAnswer: p**(-28567\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 g when two letters picked without replacement from {f: 1, g: 1, o: 1, b: 1, l: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5\/106, -1377, -1\/8?\nAnswer: 5\/106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = -617 + 3050. Is 30 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 2*f**2 - 3*f + 1. Let a = 4 + -2. Let g be i(a). Solve 3*m - p + 7 = -5*p, 0 = 3*m + g*p + 9 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence npp when three letters picked without replacement from {g: 2, u: 2, n: 2, p: 2, m: 6, y: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Let h be 2 + -3 - -3 - 1. Let v = -48 - -58. Suppose -3*w - 1 = -v. Sort h, w, -4 in decreasing order.\nAnswer: w, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -64.1 + 64.2. Which is the closest to y?  (a) 45  (b) -0.3  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((sqrt(153) + 2 + sqrt(153))*2*5 + -3 - 5*((sqrt(153) + 0)*-5 + 3*(1 + sqrt(153) + sqrt(153))))**2.\nAnswer: 180*sqrt(17) + 34428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 160 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the second derivative of l**5\/20 - l**4\/12 + l**3\/6 - 5*l. Let p be k(2). Let c be (4\/p)\/(7\/42). Solve -3*f - 2*s = -c, -2*f + 4*f = -2*s for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -38, -13, 62, 211, 458, 827, 1342?\n\"Answer: 4*f**3 + f**2 - 6*f - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: ((72\/(-10))\/(-9))\/((-1)\/5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together 3 and 62590.\nAnswer: 62593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 72804*x**4 - 603*x + 122533030 wrt x.\nAnswer: 291216*x**3 - 603","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b\/(b*b**(-1\/7)\/b))*b\/b**12)**(2\/5)\/((b\/(b\/b**(-7\/5)))\/((b*b\/(b**(3\/2)*b))\/b)*(b*b*b**7)\/b*(b*b\/(b*b**(1\/12)))\/b) assuming b is positive.\nAnswer: b**(-5239\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Are 3 and -3305 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14130 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -6 + 4 - -7 - 0 - 9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the second derivative of -u**3\/3 - 2*u. Let x(d) = 24*d**2 + d - d - 11*d**2. Give l(x(n)).\nAnswer: -26*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 55028 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**3*j**2)\/(j**(-1)*j)**34*(j**(1\/6)*(j**7*j)\/j*j)**(-42) assuming j is positive.\nAnswer: j**(-338)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 40\/(-49)*19152\/(-3420)*(-10)\/(-16).\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 67409670 to the nearest integer?\nAnswer: 8210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 3, q: 12}. Give prob of sequence qo.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*y = -5*t - 4*y - 9, 0 = 3*t - y + 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -1413a1 (base 11) to base 13\nAnswer: -79a24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (u - u - 2*u)*(2*u + 2 - 2) + (-u + 3*u - u - u - 4*u + 3*u + (0*u + 2*u - 3*u)*(2 + 3 - 3) + 2 - 2*u - 2)*(-12*u - 79 + 79).\nAnswer: 56*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 7, l: 4, t: 1, h: 1}. What is prob of picking 2 l and 1 t?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 59.6 from 379.\nAnswer: 319.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6370.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -139 - -141. Find the third derivative of -23*j**2 + s*j**3 + 62*j**2 + 4*j**4 - 11*j**4 wrt j.\nAnswer: -168*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 4, p: 4, q: 3}. Give prob of picking 2 s, 1 p, and 1 q.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-55)\/(-22)*1*(-12)\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 46 (base 14) to base 11.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 76 and 1468.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8 - 12. What are the prime factors of 28\/2 - (6 + o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f and 2 q when four letters picked without replacement from qqqfqqfffqsqqfsqqqf?\nAnswer: 275\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1417.\nAnswer: 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -980 - -978. What is the units digit of (-20)\/(t - (-630)\/320)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*1*(((3*(sqrt(112) + -1))**2 - (-2 + (sqrt(112) - 1*sqrt(112)))) + 1).\nAnswer: -6120 + 432*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**8*t\/t**(-4\/3))**33)**(3\/14))**(-12) assuming t is positive.\nAnswer: t**(-6138\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -126, 144, 850, 1986, 3546?\n\"Answer: -q**3 + 224*q**2 - 395*q + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000789622546 rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 2.3 greater than or equal to 12993132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -3 + 2 + (-5)\/(-15)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -364 + 962. Let c = 597.999175 - h. Round c to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 277.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-91)\/390*5)\/((56\/(-180))\/(14\/70))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 - 0.8. Let k = -0.8 - b. Suppose 3 = 5*z + w, z + z = 5*w - 15. Which is bigger: k or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 4*5*(sqrt(117) - (2 + (sqrt(117)*1)**2))*3.\nAnswer: -7139 + 180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 10\/30*(18 - 0). Suppose 5*b = -u + 4, 60 = 5*u - b + 14. Solve 3*j + g = -u for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3.989 and 12?\nAnswer: -47.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 266963?\nAnswer: 239, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 35946815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -3\/3454658?\nAnswer: -3\/3454658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (4\/2)\/(8\/12). Suppose 0 = -l*h + 2*a + 150 + 98, -2*h + 5*a + 158 = 0. Calculate the greatest common factor of h and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(21)\/(sqrt(21)\/sqrt(3))*-1)**2 + 2 + 2*sqrt(12).\nAnswer: 5 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-1)\/(-2) - 2512\/1056 and -61\/144.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 39256 and 8?\nAnswer: 39256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/7*n**3 - 72\/7*n**2 - 256\/7 + 264\/7*n.\nAnswer: 2*(n - 32)*(n - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -1, -112 in increasing order.\nAnswer: -112, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (23 - -14 - 107) + 183\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmd when three letters picked without replacement from {m: 2, e: 1, z: 3, d: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 0.1267054ng?\nAnswer: 0.0000000001267054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -7*o - 11. Give z(-10).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 4*t = -25. Let q = -17 - t. Calculate the remainder when 29 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*l - 3*u = 5*l + 6, -2*l = 2*u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 5*z + b - 11, -5*z + 20 = 3*b. Let s = 2 - 0. Solve s*r = r - z for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w - 39 = 3*b, 711*w = 707*w + 15 + 5 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.5 + 0.5. Let t = 5 + s. Let j = -9 - -9.1. What is the third biggest value in j, t, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/8  (b) 487  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 494847 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 132*c**3 - 13*c**2 + 13*c + 20. List the prime factors of a(7).\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -x**3 + 9870*x - 27019 wrt x?\nAnswer: -3*x**2 + 9870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 626, 539, 380, 143, -178, -589?\n\"Answer: -u**3 - 30*u**2 + 10*u + 647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 194894, 194841, 194764, 194651, 194490?\n\"Answer: -2*y**3 - 39*y + 194935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1159 a factor of 183714249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10587689 - 4.\nAnswer: -10587693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 112*c**4 + 4*c + 5*c - 23*c**4 + 1 + 35*c wrt c.\nAnswer: 1068*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30.8*-0.4.\nAnswer: -12.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the second derivative of 25*y**4\/4 - 24*y**3 + 455*y. Find the second derivative of q(l) wrt l.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v = 2*v - 12. Does 9 divide (28\/(-5))\/(v\/(-30))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26630255*-0.1.\nAnswer: 2663025.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 + 3. Suppose -3*i + 2 = 5*m, k = -i - 0*i - 3*m - 2. Suppose z - i*z + 69 = 0. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q = 4*u - 24, -5*q + 0*q + 5*u - 25 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the first derivative of y**2\/2 - y - 136. Let h(f) = -4*f + 1. What is -2*h(a) - 2*o(a)?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -85 - -118. Suppose -14*t + 3*t + q = 0. Solve -g + t*g = -4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + i = -2, i = 2*s - 4 - 3. Suppose -5*f - 4*x = -4*f + 2, -2*f + 4*x = 16. Let d be f\/4*(-10)\/3. Solve 0*b = -d*b + s for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 52883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 220 = 3*j. Suppose -6*d = -4*d - j. What is the remainder when 85 is divided by d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1673 is divided by 60.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that 1\/2*q**2 + 10 - 6*q = 0.\nAnswer: 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide (0 + 2\/(-6))\/((-36)\/9288)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 93342*u*w - 2*u - 2342 wrt w?\nAnswer: 93342*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*m - 16*m - 3*m)*(-1 + 1 + 4).\nAnswer: -56*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 6788 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -37906 by 18953.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -51, -58, -65, -72, -79, -86?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 742061 a multiple of 555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 4*r**2 - 9. Let x be y(3). Let u = x + -17. What is the remainder when 17 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 - 2. Suppose 4*q - 117 - 131 = o. Let v = -44 + q. Calculate the least common multiple of v and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -38 + (-2 - -3) - ((-71 - -36) + 31)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 6) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 14*q**2. Let b(x) be the second derivative of x**3\/6 - 3*x**2 - 27*x - 5. Determine b(w(m)).\nAnswer: 14*m**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -149933*d**3 + 165462.\nAnswer: -449799*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 125869667?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**2 + 3*d - 5. Let o be q(-4). Let c(b) = -b - 1. Let p(j) = 5*j**2 - 6*j - 6. Let f(n) = o*p(n) + 5*c(n). Let l = -6 + 5. Calculate f(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -0.49  (b) 25  (c) 4  (d) 5  (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 5*t - 4*x, -2*t - 4 = x - 4*x. Suppose -t + 0 = -c. What are the prime factors of 6*c*(3 - 1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 166, 646, 1444, 2560, 3994, 5746, 7816?\n\"Answer: 159*a**2 + 3*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 380 - 385. Let g be 9\/(-2)*l*2. Suppose 0*x - 5*x = 3*p - 65, -4*x + 46 = 2*p. Calculate the greatest common factor of p and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 + 487813\nAnswer: 487807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:50 AM and 12:00 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -910308, -910192, -910076, -909960, -909844?\nAnswer: -909728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 4*d. Let i(r) = -170*r**2 - 68*r - 850. Let h(x) = -x**2 + 2*x + 25. Let s(p) = -204*h(p) - 6*i(p). Give o(s(y)).\nAnswer: 4896*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*r - 2 - 6. Suppose 3*p - 5*w + 5 = -0, -3*p = 4*w - 31. Suppose n - p*a = -5, 30 = n + 3*n + 5*a. Solve j - 6*j - 24 = l, n*l + r = 4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000005672252 rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 51.79643 litres in millilitres?\nAnswer: 51796.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 305 >= 302?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 - (550\/33 - -2 - 120\/72).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1 + -113707370?\nAnswer: -113707371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 8 - ((-455)\/(-7))\/5. What is the closest to 17 in -2\/3, u, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 3*v + 1. Let r = -1 + -2. Let u(i) = -4*i - 1. Let g(t) = r*h(t) - 2*u(t). Let n(k) = -1 + 0 + 8 + 4*k. Give 6*g(d) + n(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 284 = 4*a - 2*a. Let p be (44 - -1)\/((-2)\/(-10)). Let t = p - a. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3108 is divided by 621?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 179\/30 and 157\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -16*l**2 + 5*l + 5. Let i(o) = 26*o**2 - 8*o - 8. Let c(v) = 5*i(v) + 8*n(v). Let m(q) be the first derivative of 15*q**2\/2 + 2. Give m(c(r)).\nAnswer: 30*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 9 in -100544, 4\/7, -0.5, 8, 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 9200990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -24322.5742 - -24316. Round y to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -40\/7 at most 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**2*g)\/g)**(-2\/61) assuming g is positive.\nAnswer: g**(-6\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1031.9553 + -1032. Round r to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1001110000100001011011 (base 2) in base 15?\nAnswer: 357e13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from ihhhihioh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + l - 602 = 0, 5*l = -15 + 5. Is 18 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -941938 divided by -1\nAnswer: 941938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = 4*s + 373, 7*x - 228 = 4*x + s. What is the highest common divisor of x and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 679.\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Three letters picked without replacement from mmmmmffmmmmmmqmfq. Give prob of picking 3 m.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of (39\/(-52))\/(18\/(-48312))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, -446, -2, 4 in increasing order.\nAnswer: -446, -2, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -31, -119, -361, -835, -1619?\nAnswer: -2791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(sqrt(637) + (-1 + sqrt(637) + sqrt(637))*1) - (-1 + 1*sqrt(637) + sqrt(637) + -2*1*sqrt(637)))*2 + 5)**2.\nAnswer: 252*sqrt(13) + 206389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 6*m**2 - 4*m - 7. Let o(n) = -7*n**2 + 5*n + 8. What is 5*i(b) + 4*o(b)?\nAnswer: 2*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-14)\/(-10) - ((-186684)\/(-7350) + -24). Which is the nearest to -0.1?  (a) -0.3  (b) -0.1  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -67*a + 35*a**3 + 20*a**3 + 67*a.\nAnswer: 55*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -6*i**3 + 4*i**2 - 1. Let a(c) = -2 - 18*c**3 + 8*c**2 + 3*c**2 + 2*c**3 - c**3. Let z = 648 + -637. What is z*d(s) - 4*a(s)?\nAnswer: 2*s**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 20 + -12. Suppose -w - 3 = -p. Solve -31 = -4*i + w*u, -2*i - 5*u = i + 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m**3\/9 - 13189*m**2\/9 + 529201*m\/9 + 542389\/9 = 0 for m.\nAnswer: -13229, -1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -277 + 425. What are the prime factors of l?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -1045*o + 14757. Let r = 42 - 26. What is the remainder when y(14) is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*37.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -19652.96 + 19653. Let n = -133 + 95. Which is greater: k or n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 6d - 31?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y**3 - 2*y + 3. Let c be a(3). Suppose -c = 6*r - 8*r. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:51 AM and 3:19 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -14 - t + 2855669*t**2 - 1427832*t**2 - 1427839*t**2. Let f(i) = i**2 + 13. Give -3*f(w) - 2*q(w).\nAnswer: w**2 + 2*w - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 2*j**2 + 52*j + 50. Let a be k(-25). Suppose -2*p - 5*z + 162 + 422 = a, 2*z - 8 = 0. What are the prime factors of p?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1393 and 1.06?\nAnswer: -0.147658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -25, -904, -2377, -4450, -7129, -10420?\nAnswer: -14329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*(-37 + 109 + -60).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 77*p**3 + 213*p - 213*p - p**2.\nAnswer: 77*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -2*s**3 - 91*s**2 - 224*s - 273. Determine g(-43).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 2*p**2 - p**2 + 6*p**3 - 13*p**3 + 0*p**2 - 1. Determine x(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwwwwwwwwwwwf. What is prob of picking 2 w?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 - -2. Let h be (2*4\/(-18))\/(-2). What is the second smallest value in q, 1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z. Let t(j) = j**3 - 9*j**2 + 8*j + 8. Let k be t(8). Let y(g) = 7*g - k*g + g - 3*g**2. Give f(y(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1873, -1871, -1869, -1867, -1865?\nAnswer: -1863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -919851*j**2 + 23925*j - 4 wrt j?\nAnswer: -1839702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**2 + 7*y + 17. Let i be (10 - 6)*28\/(-16). Determine w(i).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d**2 - 5*d + 2. What is c(8)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2\/(-14))\/(-1) - 204\/(-42). Sort j, 4, -4 in ascending order.\nAnswer: -4, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 15\/25 + (-635)\/1055. Let k = 96021\/8440 + b. Find the common denominator of 47\/167 and k.\nAnswer: 1336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4 - (-2 - (4 - 13)). Let d be o\/(-3)*1\/(-1). Which is bigger: d or -13?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in 0.3, -0.3, 0.024, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -323614 + -0.2.\nAnswer: -323614.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + -4*(((sqrt(931) + -5)*-2)**2 - sqrt(931)) + ((sqrt(931) + -4 + 1)*4)**2)*-6.\nAnswer: -2856*sqrt(19) + 1518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -31 + 11. Suppose 2*z = -4*l + 108, -2*l + 4*z + 64 = -0*l. Let h = n + l. Calculate the remainder when 31 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.6495511 to 3 dps.\nAnswer: -1.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.7, -0.1, -5, -3.\nAnswer: -5, -3, -0.1, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 104420 + 33422402?\nAnswer: 34032322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*k = -0*k - 15*k + 12240. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-3\/2))**(-29\/3)\/(c\/(c**(-7)\/c)*c\/(c\/c**6)) assuming c is positive.\nAnswer: 1\/sqrt(c)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1167 - 1164. Which is greater: y or 181?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1076 is divided by 177.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 29274.18 centuries to years.\nAnswer: 2927418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**3 + 0*y + 5*y**2 - 4*y + 4*y**2 + 7. Is z(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the third derivative of -w**4\/8 + 3*w**2. Let q be z(-4). Let h = q + 0. Solve 3*n = n - 2*l - 2, -h = 3*l for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 484784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 1*(-41 - 1818\/(-45))\/(332\/(-220) + 2)\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 906312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + 4 + -1 + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*c - 17 = 5. Solve c = -5*x + 26 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 71*y = 350*y + 142 - 2653 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g + 70 = 13*g. Let s be (16\/g)\/((80\/(-75))\/(-8)). Calculate the highest common factor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 4.883?\nAnswer: 4.883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14 + -13.6. Let l = 12 + -11.9. What is the closest to 0.1 in g, -0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -21*i + 95. What is v(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-4\/7)*a**(-2\/7))\/(a*a**(-5)\/a*a*(a\/(a\/(a**(-6)*a))*a*a)\/a))\/((a**0)**(-31)\/(a**(2\/5)\/a*a**(-1\/2)\/a)) assuming a is positive.\nAnswer: a**(353\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 283536 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3 + (5 - 3))*-33. Let n be (-273)\/(-11) - (-6)\/x. Let f = n + -7. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6.04 + -0.04. Let o = i - 10. Put -1\/4, -0.4, o in descending order.\nAnswer: -1\/4, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 5*m + 12 = 0, -5*h - 2*m + m = -12. Differentiate 7*r**2 - 8*r**2 - 92*r - 3*r**2 + 2*r**2 + 160 + h*r**2 with respect to r.\nAnswer: 2*r - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 w when two letters picked without replacement from zvttwzz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -45?  (a) -5  (b) 0  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*((-2310)\/45)\/(-22)*(-20)\/(-105)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -32, -2 in descending order.\nAnswer: 1, -2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*b**2 + b**2 - 7*b**2)*(-11804*b**2 + 295118*b - 295118*b) to the form t*b + x*b**2 + v*b**4 + m + c*b**3 and give v.\nAnswer: 35412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*i - 6*i - 36. Let r(c) = c**2 - 3*c - 7. Let d be r(i). Suppose d*w - 8*w - 96 = 0. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.6  (b) -3\/37  (c) -101\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 26b9a5 (base 12) to base 7\nAnswer: 5314130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*w**2 - w**2 + 11*w**2)*(0 + 4 - 1)*((-w + 0*w - w)*(0*w + w + 2*w) - 2*w**2 - w**2 + w**2).\nAnswer: -312*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of 62 and -136.74.\nAnswer: -8477.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*c**4\/4 - 5*c**3\/2 + 5*c**2\/4 + 5*c\/2 = 0. Calculate c.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 45\/2 of a tonne?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 9*q. Let i be p(2). What is the greatest common divisor of 144 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h - 2*s + 13, 30 = 6*h - h + 3*s. Suppose -i - 45 = -h*v, -3*v + 3*i - 5*i = -36. What is the greatest common factor of 28 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2045535 (base 6) to base 2\nAnswer: -11000010111000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2324614305 and 10970.\nAnswer: 5485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -99916, -199840, -299788, -399778, -499828?\nAnswer: -599956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -253, -1, 1960 in decreasing order.\nAnswer: 1960, -1, -253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 + 0 = 2*z. Suppose -2*y + 1 = z. Let i(j) = j**2 + 3*j + 3. What is i(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(440)\/sqrt(275) - sqrt(40)) + sqrt(40) - sqrt(40)) + 3*-1*sqrt(40))\/(sqrt(72)\/(sqrt(9)*5) + sqrt(256)\/sqrt(8)).\nAnswer: -19*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j - 6*j + 3*j)*(60*j - 33*j - 31*j) + (j + 0*j + 2*j)*(j - 4 + 4) - j**2 + 5*j**2 - 2*j**2.\nAnswer: 13*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 + 6. Let u = o + 2. What is the nearest to 2\/7 in -2, u, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-8)\/(-340))\/((-72)\/50030). Let p = 396\/17 + z. Calculate the common denominator of -1 - 1 - 30\/(-32) and p.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 809 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -2*p. Suppose 3*q = -4*t + 32719, -2*q + 3274 + 29440 = 4*t. Let b(l) = -t*l + 12*l**2 + 8176*l. Calculate r(b(k)).\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let -m**5 + 17920*m**4 + 1583152*m**3 + 27965312*m**2 - 304300032*m + 663846912 = 0. Calculate m.\nAnswer: -48, 4, 18008","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -255 - -752. Suppose -3*a + o = -58. Suppose 4*x - a = -53. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13 (base 12) to base 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 25*c**3*q**3 - 1624*c**3 - 132744*c**2*q**3 wrt c.\nAnswer: 150*q**3 - 9744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -4*g + 100. Let x be u(24). Suppose -x*o + 1096 = 3*n, 4*n - 1681 = -4*o - 225. Calculate the highest common factor of n and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72678 = -4*f - z, 3*f = 4*z + 69859 - 15341. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3168\/1188)\/(10*(-3)\/(-675))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 30888, 30855, 30816, 30771, 30720, 30663, 30600?\n\"Answer: -3*f**2 - 24*f + 30915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.88 + -0.9. Let b = -0.4 - -0.4. Let i = u + b. Are -0.1 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -6*h**3*n - 58428*h**3 + 1018*h*n - 2*n wrt n?\nAnswer: -6*h**3 + 1018*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-27)\/(-4) - (-1)\/4. Let x = 449 + -400. Calculate the highest common divisor of z and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 5*p - 15 = 0, -p = o + o - 3. Suppose 4*t + o*t - 8 = 4*q, t = -q + 4. Factor 2\/5 + g + 1\/5*g**t + 4\/5*g**2.\nAnswer: (g + 1)**2*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5537 or -5538?\nAnswer: -5538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.953 times -0.2247?\nAnswer: 1.3376391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = 5*u - 29. Find k, given that 15 + 16*k**u - 14*k**2 + 3543*k - 3559*k + k**4 - 2*k**4 = 0.\nAnswer: -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 35.028 + -35. Let h = 0.043 + w. Let y = h + 17.429. What is y rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 73071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 162343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.1677003636 - 16\nAnswer: -15.8322996364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 87068454.\nAnswer: 2, 3, 11, 119929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 10 = c. Let z be 5\/4 + 3\/(-12). Are c and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 0.03, 5, -0.1 in decreasing order.\nAnswer: 5, 0.03, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 3242441.83 + 13?\nAnswer: 3242454.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 7992726 divided by 282\nAnswer: 28343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**3 + 5*u**2 + 7*u - 6. Let k be z(6). Suppose -3*i + 7 + 11 = 3*y, -y - 3*i = 4. Let q = k - y. Sort q, -2, 0 in descending order.\nAnswer: 0, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -7061*o + 7786. Let u(b) = 3532*b - 3891. Let l(y) = 3*g(y) + 7*u(y). Differentiate l(t) wrt t.\nAnswer: 3541","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26 + (-9 - -56) + -14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 1903 = 5*c, 32*m - 30*m = 5*c + 1252. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.21 - -0.2. Let s = l - -1.01. Let o be (6\/(-3))\/(1 - 14). Which is the smallest value?  (a) 2\/7  (b) s  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zluugzzzyuuuuuzy. What is prob of picking 3 y and 1 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*m - 12*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 355 + -359. Let a(j) = 8*j**3 - 7*j**2 - 7*j - 7. Let v(t) = -t**3 + t**2 + t + 1. Give h*a(c) - 28*v(c).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(19) - (2*sqrt(19) + 2) - sqrt(19)).\nAnswer: 8 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-2\/51)\/x**(-4\/3) assuming x is positive.\nAnswer: x**(22\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*n = 6334 + 58797. Let s = -1028 - n. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 13023 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 2*v**2 - 19*v + 5. Let y(q) = 6*q**2 - 56*q + 12. Let i(w) = -10*g(w) + 3*y(w). What is the remainder when 71 is divided by i(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 3 + 3)*(1 + 1 + 0)*(50 - 50 + 35*w**2) + (-2*w - w + 5*w)*(-w + w - 2*w).\nAnswer: -284*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1288 less than 1.379?\nAnswer: -1286.621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -7.0151 != 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 55534786.\nAnswer: 2, 3691, 7523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 2*i**2 - 10*i - 36. Calculate the remainder when 570 is divided by u(-6).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 10*h - 3*m + 55 - 2, -4*m = -4 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.006266325645 to four decimal places.\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2122 + -2133110001?\nAnswer: -2133112123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -68798786 divided by -9828398?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -32065 - -10043?\nAnswer: -22022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000004603 rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 8 (base 16) to base 4\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 3 + 0)*(-2 + 0 + 1)*((-2 + z + 2)*(26 - 13 + 48) + 2 - 2 + z)*(4 + z - 4) as p*z + o + s*z**2 and give s.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 106957425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the second derivative of -l**3\/3 + 159*l**2\/2 - 271*l. Let v(x) = -2*x. Calculate g(v(d)).\nAnswer: 4*d + 159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that -48*l**5\/5 - 32*l**4\/5 + 4*l**3\/5 + 4*l**2\/5 = 0.\nAnswer: -1\/2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6.74 + 0.26. Let j = 5 + -2. Sort j, c, 0.5.\nAnswer: 0.5, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**4 + 9*j**2 - 6*j.\nAnswer: -3*j*(j - 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/(-22) - (-96)\/165. Which is the nearest to 0.1?  (a) -2  (b) 1.2  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h - 3. Let n be l(3). Let r be n\/(1*-3) + 2. Suppose 0 = -r*a + 4 + 2. Solve 13 = -a*j + 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 3, q: 3, n: 1}. Give prob of picking 1 n and 3 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40014.\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 52*m. Let v(z) = -5*z**2. Determine q(v(d)).\nAnswer: -260*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -234 + 3040\/13. What is the nearest to 0.1 in 5, u, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 4, n: 2, i: 1, t: 2, b: 1}. Give prob of sequence tnit.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:24 PM and 10:49 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 - 3)*(-2*l - l + l)*(-3 + 2*l - 4*l + 4) - 18*l + 18*l + l**2.\nAnswer: -23*l**2 + 12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52 = -77*h + 41*h + 164. Solve 0 = -v + 2*v - y, -3*v + 5*y = h for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o**3 - 3*o**2 - 3*o - 5. Let n be q(4). Let a be 12\/9 - n\/(-3). Let f be (3 - a)*1\/2. Solve 9 + f = 5*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - ((-3934)\/(-2015) - 4) - (-2643)\/(-81933)?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 2 = 3*r - 5*d, 0 = 3*d + 12. Let z(n) = -n**3 - 7*n**2 + 4*n + 3. What is the tens digit of z(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**0)**27*(t*t\/t**1)**(-1))**(13\/4) assuming t is positive.\nAnswer: t**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {h: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 289 is divided by 87.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (-6)\/3 - (-1 - -6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 37 + (-42 - 10) + -29.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/6, 0.5, 127\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -42 + 133. Let g(f) = k*f - 91*f - 13*f**2. Let c(q) = -2*q. Determine g(c(n)).\nAnswer: -52*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of -520.3 and -0.2.\nAnswer: 104.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5706*a**3 + 9579*a**3 + 4647*a**3.\nAnswer: 19932*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 3, u: 1, d: 2, t: 10}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 391 + -169. Let d = s - 135. What is the remainder when d is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -39*i*n**2 - 3*i*n + 67484*i - n wrt n.\nAnswer: -78*i*n - 3*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4553166 and 5448?\nAnswer: 1362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 1694200367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**3 + 29*t**2 + 45*t + 2667. What is z(33)?\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 0.797665 tonnes?\nAnswer: 797665000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rp when two letters picked without replacement from percpyepjrjecp?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -2*j - 7, 35 = 3*g - 2*g + 5*j. Let a(u) = -11*u - g*u + 16 + 22 + 27*u. Calculate the remainder when a(8) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 49\/(-8) + (-15)\/(-120). Put -2\/5, p, -1, 1\/6 in increasing order.\nAnswer: p, -1, -2\/5, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**3 + 5*v**2 + 4*v + 3. Let o be f(-4). Suppose 0 = -o*d - 3*c - 6, 5*d - 6 = -c - 0. Solve 0 = -d*k - 4*m, -5*k - m + 8 = m for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**3 + 25*a**2 - 6801*a - 157439. Give u(-23).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2197055425 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -84143.994 rounded to the nearest 100?\nAnswer: -84100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 303 and 722049.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2288 - 42?\nAnswer: 2246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7018528 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01771 take away 2.7?\nAnswer: -2.71771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + 2 - (-3 + -7 - -12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -5*u - 26. Determine o(5).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -77, -55, -15, 49, 143, 273, 445, 665?\n\"Answer: x**3 + 3*x**2 + 6*x - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00895 to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 minutes after 1:09 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:49 PM and 9:47 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1970f - -3?\nAnswer: -1970c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 29, -4, -67, -166, -307, -496, -739, -1042?\nAnswer: -1411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -2*p**2 + p - 1. Let s(y) = 30*y**3 + 6*y**2 - 2*y + 2. What is -3*c(d) - s(d)?\nAnswer: -30*d**3 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 714057028?\nAnswer: 2, 1597, 111781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 6025 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 1, n: 6, f: 2, e: 4, u: 2}. Give prob of picking 1 f and 2 e.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 2354.265411 to 0 decimal places.\nAnswer: 2354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -14400 + -1?\nAnswer: -14401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((128\/(-12))\/8 - -1)*-27?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 95012 = -24173*q - 146718 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ho when two letters picked without replacement from {o: 2, h: 7, b: 9}?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -15.05 - -15. Let d = 0.25 + q. Round d to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2629 and 157979?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the second derivative of 96*n**2 + 1\/30*n**5 - n + 64\/3*n**3 + 13\/9*n**4 - 93. Suppose b(g) = 0. Calculate g.\nAnswer: -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i. Let q(p) = -3*p + 2. Let x be -10*4\/(80\/(-132)). Let s = 67 - x. Determine s*q(w) - 4*l(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*v - v + 2*v)*((4 - 4 + 13)*(-v - v + 0*v) - v - 2*v + v)*(2*v - 3*v + 3*v) to the form s + x*v + l*v**3 + t*v**2 and give l.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -2*x**3 + 45*x**2 - 21*x - 3. What is the remainder when 225 is divided by b(22)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*d + 37*d = 305 + 3055. Solve -23*s = -28*s - d for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 90 - 15?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the second derivative of g**3 - 3*g**2\/2 - 3*g. Calculate f(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -3*g, 3*d - g - 6 = -3. Calculate the remainder when 0 - 1\/(-1) - -10 - 27\/9 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a**2 - 6*a**2 + 4*a**2)*(-31*a**2 - 57*a**2 - 46*a**2).\nAnswer: 268*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 221.88*0.88.\nAnswer: 195.2544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 - 56 = -13*g. Let i(n) = 3*n**2 - 17*n - 18. Calculate the remainder when 24 is divided by i(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1545318011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 164 + -164.805. Let z = 0.005 + o. Sort 0.2, 3\/2, z in descending order.\nAnswer: 3\/2, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t - 1, 0*c = 2*c - 4*t - 12. Let k(l) = l**3 - 5*l**2 + 4*l - 1. Let f be k(c). Is f > -1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -2*x - i, 5*x + 0*i = -3*i - 9. Suppose -l + 0 + 12 = x. Suppose 5*w + k = 12, k + l = -w + 4*w. Solve -w*y - 9 = -0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -182, -383, -730, -1223, -1862, -2647?\n\"Answer: -73*f**2 + 18*f - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s**3 - 4*s**2 + 2*s - 3. Let z be j(3). Let p be 6 + -2 - 5\/1. Is p != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w**3 + 21*w**2 - 5*w + 2. What is the units digit of b(19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:46 AM and 9:56 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40*a**3 - 118198 + 11*a**3 + 59044 + 59154.\nAnswer: -29*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 1 b, and 2 s when four letters picked without replacement from {s: 3, z: 3, b: 9, u: 2}?\nAnswer: 81\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes after 1:18 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -113*u + 18. Let c be r(-6). Suppose 0 = 5*v - v - c. Let t = v - 116. What are the prime factors of t?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24329529227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 39\/355 and -107\/3929850?\nAnswer: 3929850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 4.69904l?\nAnswer: 4699.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 44\/(-70) + 1670\/1169. Which is the fourth biggest value?  (a) 1  (b) 41  (c) -0.3  (d) -0.1  (e) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 905 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -j - 94, 452 = 5*t + 3*j + j. Does 20 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 330 - -22. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 444 is divided by 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 2 - 1)*(-y + 3*y + 0*y) + 4*y + y - 3*y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9719064.\nAnswer: 2, 3, 23, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 3*l + 0*l**2 + l**3 - 14*l + 7 - 8*l**2 - 2*l**3. Calculate the smallest common multiple of 8 and h(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 256*a**2 + 1. Let i(l) = l**2 - 15. Let u be i(-4). Is w(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 633 is divided by 79.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, 0.3, 2\/49, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the first derivative of o**6\/540 - o**4\/108 - 7*o**2 + 18. Let t(w) be the second derivative of q(w). Factor t(m).\nAnswer: 2*m*(m - 1)*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 44 + -2. What is the remainder when q is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (30\/(-21))\/5 - 1950\/(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/24210 and -76\/75?\nAnswer: 121050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*h + 1119 = -18241. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**3 - 23*p**2 - 61*p - 12. Let b be 1\/11 + 5740\/(-220). Is s(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 18483, 36929, 55457, 74109, 92927?\nAnswer: 111953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 3*g**3 - 2. Let q be s(2). Suppose 0 = -2*z + 2*x - 5*x + q, -3*x = 3*z - 27. What is the lowest common multiple of (-2 - 1)*22\/(-6) and z?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 9\/10 of a millennium?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -11*a**3 - a**2 + 1. Let v be d(-1). Suppose -225 = -v*w + 2*w. Let k(u) = u**3 - 4*u - 1. What is the remainder when w is divided by k(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -2 + 411\/105 - 2. Let q = b - -24\/35. What is the closest to -1\/4 in -1, 0.3, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2069*q**2 - 413*q + 413*q + q**3 + 0 + 2 - 1.\nAnswer: q**3 + 2069*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 20 = -5*q + 5, -4*v = 3*q + 12. Let a(d) = d**3 + d + 1. Let j be a(q). Which is greater: j or -3\/10?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u**2 + 4*u - 2. Let l be m(3). What is the units digit of 9 - l - (-5 - -5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1952.1754 - -1952. Let h = -0.0246 + r. Which is the fourth biggest value?  (a) 2\/7  (b) -5  (c) h  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7934.392ml to litres.\nAnswer: 7.934392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 311 (base 5) to base 15.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4261186?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3.39 - -3.09. What is the biggest value in 5, -2, 0.18, l, 1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 314*d + 111 = 2309 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 199\/1170 and 127\/3042.\nAnswer: 15210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -695\/78 - -66\/13. What is the common denominator of (-4)\/6 - (-87)\/18 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 4*w**3 + 3*w**2 + 3*w + 2. Let c(v) = -23*v**3 - 17*v**2 - 17*v - 12. Let j = -191 + 225. Give j*x(p) + 6*c(p).\nAnswer: -2*p**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**2 + 6*v - 11. Let j be u(2). Suppose b + j*a = -6 - 3, -3*a = -b + 15. What is the remainder when 13 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*a**2 - 2*a**2 - 2*a**2)*(2*a + 0 + 5 - 4).\nAnswer: -2*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.53946t to grams.\nAnswer: 8539460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2339995?\nAnswer: 5, 7, 9551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 152*y**2 - 5*y + 21. Let h = -55 + 59. Is m(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1848 + 1847.9123. Round y to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 3, h: 7, z: 3}. What is prob of sequence hg?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 125392?\nAnswer: 2, 17, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.52 + 1.63. Let a = -0.11 + d. Let l = 0.5 - a. What is the biggest value in l, -3\/4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 265 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u**2 - 3*u + 4. Let c be v(-4). Let w = -88 + 122. Is w smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1021220001 + -1?\nAnswer: 1021220000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**(3\/8))\/g)**(3\/11)*(g\/g**(8\/11))**(9\/4) assuming g is positive.\nAnswer: g**(63\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1 - 4b77?\nAnswer: -4b78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 27456 and 351.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen quarters of a century in years?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -138 - -137.91. Let y = -0.39 - i. Sort y, 1, 0.5, 4 in ascending order.\nAnswer: y, 0.5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 326 and 2282.\nAnswer: 2282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*u - 20 = -5*u. Let y = 24 + u. Calculate the highest common factor of y and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = -9*d, -5*y - d = -6*d - 5. Sort y, 3, 110 in decreasing order.\nAnswer: 110, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -202 + 1007\/5. Which is the smallest value?  (a) q  (b) -5  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*b - 15*b + 18 = 0. Let c = 0 - b. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 times -0.258702\nAnswer: 0.1034808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d + 2*o = -d + 1, 0 = -4*d + o + 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q - 5*a = 22, 3*q - 6 = -5*a - 23 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -4*l + 1. Let m be n(1). Let h(q) = -5 - 2 - 5*q**3 - 7*q + 4*q**3 - 2*q**2 - 5*q**2. Let c be h(-6). Is m smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x + 3. Let j(d) = 3*d**3 + 8*d**2 - d + 18. Let y(u) = -u**3 + u - 1. Let q(o) = j(o) + 2*y(o). Let l be q(-7). Suppose l - 3 = 5*v. Give r(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 times 28\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 39 = 3*p, -p = 3*j + 2*p + 33. Let z(g) = g + 10. Let h be z(j). Suppose -h = -4*s + 4. Which is the nearest to -3\/11?  (a) -1\/3  (b) 5  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the second derivative of 6*b**2 + 4*b + 0 + 5\/9*b**3 + 1\/450*b**5 - 1\/18*b**4. Let f(d) be the first derivative of p(d). What is h in f(h) = 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8 and 268554.\nAnswer: 1074216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5.646 + 0.046. Let t = 6 + k. Let f be (1 - (-9)\/(-7))\/(-2). Put t, -4, f in decreasing order.\nAnswer: t, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14\/14)\/(1\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.014188021 rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 9*c**2 - 15*c**2 + 4*c**2 + 11*c**2 + 53. Is r(22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**28*z**(-30)*(z\/(z**(-1\/7)\/z))**(-21))**(1\/16) assuming z is positive.\nAnswer: z**(-51\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*n**4 + 2*n**4 - n**4 + (-39*n**3 - 3*n**3 - 34*n**3)*(65 - 4*n - 65).\nAnswer: 302*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n*((n**(-18)*n)\/n)\/n)\/n*n**24*((n\/n**(-3\/10))\/n)\/((n\/(((n*n**(-23))\/n)\/n))\/n) assuming n is positive.\nAnswer: n**(-177\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*s - 2*s + 3*s)*(-s**2 + 33253 + 3666*s - 3666*s + 2621 + 2*s**2).\nAnswer: s**3 + 35874*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-31)\/93)\/(3\/(-81)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 w when two letters picked without replacement from xtwxxdtxcdvxvwwwdttx?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -0 - 5. Suppose -4*b = 4*y - 20, -h*y + 5*b + 11 = 3*b. Suppose 2*q + q - 12 = -2*d, -d - y*q = 0. Calculate the remainder when 70 is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 903584.9 litres?\nAnswer: 903584900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c**3 + 6*c**2 + 8*c - 123. Determine f(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.0177 and -0.28.\nAnswer: -0.004956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -65*a + 2431. What is the remainder when 660 is divided by l(36)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*n - 23 = 5*s, 2*s - 42 = -5*n - 34 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/2309067 and 25\/1368336.\nAnswer: 36945072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 439256*l - 8. Let d be w(-6). Let r = -1435552 - d. Suppose -1199990 = 2*o + 5*m, m - 5*m - r = 2*o. Round o to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20*198\/(-4785)*-29.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vqm when three letters picked without replacement from qqqvqqmqmqqqqqqqvv?\nAnswer: 13\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 145794455, 145794454, 145794453?\nAnswer: 145794452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 7940, 7963, 8008, 8081, 8188, 8335?\n\"Answer: r**3 + 5*r**2 + r + 7933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 144692947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -51*v + 214. Let j be g(4). Solve j*d = 8*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o + 65 - 69, 3*k - 2*o + 2 = 0. Put k, -5, -0.6, -29 in decreasing order.\nAnswer: -0.6, k, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27113.\nAnswer: 19, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -956, 1\/47, -521?\nAnswer: -956","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxa when three letters picked without replacement from {p: 13, x: 3, a: 2}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 8 * -214\nAnswer: -1712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-8)\/20 - 234\/(-10). Let p = w - -73. What is the highest common factor of p and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -1070*w - 48098. Determine p(-45).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 6\/11, -2, -0.06?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 39237 divided by 13079?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0.3+-14852.282\nAnswer: -14851.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*(1 + sqrt(1088)*-2) - (3 + sqrt(1088) + -1 + sqrt(1088) + sqrt(1088) + -4)) + 3)**2.\nAnswer: 48*sqrt(17) + 1097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the first derivative of -60*z - 2\/3*z**3 + 31*z**2 + 148. Determine b, given that d(b) = 0.\nAnswer: 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (4\/5)\/(((-3)\/3)\/8425). What is j rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -60*r - 16382. Give h(-273).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 181579.\nAnswer: 107, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 3*i**2 + 1717*i + 247132. Let j(l) = 3*l**2 + 1718*l + 247127. Let c(w) = -5*j(w) + 4*p(w). Factor c(y).\nAnswer: -3*(y + 287)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/1300 and -51\/190268.\nAnswer: 4756700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6*(4669\/276 + -17).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -27*z - 72. Let n be c(17). Round n to the nearest 10.\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 26894?\nAnswer: -1\/13447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f - f**4 - 2*f)*(-2 - 2 + 3) - 8*f**4 - 5*f**4 + 17*f**4 + (-3*f**4 - 3*f**4 + 7*f**4)*(5 - 1 - 2).\nAnswer: 7*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 14\/21 + (-158)\/(-6). Suppose -9*n + 8*n = -135. What is the greatest common factor of g and n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 1 - 1847*v + 6 + 0 + 1841*v. Let k(w) = 6*w - 6. Give -6*k(c) - 5*q(c).\nAnswer: -6*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 427015112 by 106753778.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 83945749 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -14 * 19\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - z**3 + 0)*(3*z + z - 3*z - 11)*((1 + 2 - 2)*(-z - 1 + 1) + (7 - 4 + 1)*(-4*z + 2*z + 0*z)).\nAnswer: 9*z**5 - 99*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 10938819*w**2 - 14*w - 234772731 wrt w.\nAnswer: 21877638*w - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0 + 3)*1835\/75. Let k = m - 73. Which is the biggest value?  (a) k  (b) 1  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 11 + -29. Let u = -4 - v. Calculate the remainder when 25 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7\/5 in 1\/9, -2\/3, -4, -3, 104\/89?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 3*d + d = 240, -4*i + d - 181 = 0. Let r = i + 24. Let c be 11\/r + 6*(-2)\/(-48). Are -0.3 and c equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y - 4*z + 37 = 0, 39*z = 2*y + 43*z - 38 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -15.5 less than 10.519493?\nAnswer: 26.019493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -0.096*20396976\nAnswer: -1958109.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -117\/20 and -103\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -631, -1200, -1769, -2338, -2907, -3476?\n\"Answer: -569*j - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-16 + 1)*(-1)\/3. Suppose -8*w = -24142 + 8750. Suppose k*l + 229 = w. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -70 times 0.042338\nAnswer: -2.96366","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Let o = -13 - -16. What is the third biggest value in o, 2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o. Suppose 3*u - 2*u - 3 = 0. Let n be (-1)\/(-1*(2 + -3)). Let d(h) = -2*h. Let f(m) = -m. Let j(q) = -3*d(q) + 5*f(q). Give n*j(x) + u*r(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 541715745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1169 + -1091. What is the highest common divisor of l and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -4  (b) 2\/9  (c) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -174290 - -700721\/4. Let t = -31817\/36 + h. Find the common denominator of t and -82\/99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 31 - 11. Let g(p) = 5*p**2 + p - 2*p**2 - p**3 - 4*p**2 + r. Is g(0) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 41 - 39. Let u(t) = 49*t - 70. Let l(z) = -98*z + 141. Let v(m) = c*l(m) + 5*u(m). What is the first derivative of v(j) wrt j?\nAnswer: 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7642 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 13*1*234\/(-78)*1\/3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/(-6)*1\/4*15384\/(-43588)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**2 + 7*r - 6. Suppose 3*o + 32 - 14 = 0. What is z(o)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:33 PM and 12:43 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1 and 7.55.\nAnswer: 7.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -1149*z - 957*z + 4212. Suppose -18\/17*h - 2\/17*h**z - 16\/17 = 0. What is h?\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**3 - 5*x**2 + 7*x + 11. Give n(-5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2*(-3)\/(-1)*-5. Suppose -2*z = z - h. What is the greatest common factor of z and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 160 in 0.0668, 2, 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51 - 9 = -3*x. Let f = -36 + 24. Let p = f + x. Calculate the greatest common divisor of p and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 8*m**3 - 4*m**2 - 7*m - 7. Let r(q) = -q**3 + q**2 + q + 1. What is 2*c(n) + 14*r(n)?\nAnswer: 2*n**3 + 6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -56486*6\/(-48) + 1\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 2*x**3 - 11*x**2 - 3*x + 3. Suppose -4*c + 23 = -2*h + 1, 3 = 3*h. What are the prime factors of w(c)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*z**3 + 11*z - 22*z + 11*z.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 - 0. Suppose -3*g + v*q = -0*g - 119, 2*q = 3*g - 107. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in -4\/9, -2\/17, -5, -1\/8?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(68)\/sqrt(2))\/sqrt(2)*-1)**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-5 + 0 + sqrt(1539) - sqrt(1539))**2 + -2 + -1)*-6 + 3)*6.\nAnswer: -774","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -2\/3, -5\/3, 3\/5, -4, -0.049.\nAnswer: -4, -5\/3, -2\/3, -0.049, 3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14711, 14709, 14707?\nAnswer: 14705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -2*a**2 + 27*a - 35. Determine u(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes after 11:35 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/5?  (a) -53  (b) 0.07  (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 90619\/13 + -6973. Which is the smallest value?  (a) 3  (b) 0.2  (c) q  (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = 2*z. Round z to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v + 5. Let b be i(-9). Let t = -3 - -1. Sort t, b, 6, 4 in descending order.\nAnswer: 6, 4, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = -5*l, -3*l = -4*j - 0*l - 32 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-5 + 3447\/693)*-7. Let l be -5 - (-138)\/18 - 4. Which is the third biggest value?  (a) -0.4  (b) l  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 6*h**2 - 6. Let x be m(-6). Suppose x = b + 2*b. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (77 - 77) + 1 + 1 + (-1 - 9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*a - 2 - 5 + 7 to the form f*a + o and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 38 + -38. Suppose 98 = 3*c - 5*k, 5*c + t*k + k = 210. Calculate the remainder when c is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -250, -505, -760, -1015, -1270?\n\"Answer: -255*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 787*p - 704*p - 2158 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g - 125. Let s(v) = 2*v**2 + 4*v. Calculate u(s(k)).\nAnswer: 2*k**2 + 4*k - 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.62 + -76.38. Let q = 65 + 13. Let h = n + q. Which is greater: h or -22?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 9.9568 micrograms?\nAnswer: 0.0000099568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 168 = -15*u. Let j be 1\/(-2) + -5 + 78\/u. Calculate the highest common factor of j and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y + 1. Let j(n) = 4*n + 4. What is j(b) - 6*r(b)?\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**2 - 8*l - 7. Suppose 812*i = 807*i - 35. Give g(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -958 + 728. Let i = s + 228. Which is the third smallest value?  (a) i  (b) -206  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 32*s + 4. Let t(x) = 63*x + 7. Determine 7*o(m) - 4*t(m).\nAnswer: -28*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -205*n - 39*n + 34*n + 6510 = 0 for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 58 and 32.\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 10867601 and 469.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**1)**48)**(-21) assuming a is positive.\nAnswer: a**(-1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 342421\/28 + -12231. Find the common denominator of a and 9 + 665\/(-60) - 1*-3.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -70.73 + 71. Let y = 0.27000336 - g. Round y to 7 decimal places.\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*-2*sqrt(50))\/sqrt(10).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 98826 and 247065?\nAnswer: 494130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = -2*a + 4663, -4*a = -447*k + 444*k - 9361. Is a a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 3*x + 2. Let d(h) = 3*h + 3. Suppose 10*t - 12 = 28. Suppose -3*v + 4*v = -3. Give t*q(a) + v*d(a).\nAnswer: 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74 = 3*v - 111*v - 466 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -201 - 17 - (-2)\/1. Let i = 223 + b. Solve i*j + 3 + 4 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5779*i**2*n*t + 38*i**2*t + i*n*t - i*n - 3726*t wrt n.\nAnswer: 5779*i**2*t + i*t - i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - (-37 + 7 + 6) - (6 - (-5 + 5))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -31?  (a) -0.3  (b) -0.2  (c) 14\/167  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 46\/5 of a day?\nAnswer: 13248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -43 or -34681?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 130, 123, 112, 97, 78?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 65\/42 and -25\/11430132?\nAnswer: 11430132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 989 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 31 - -4. Suppose 3*x = 4*d - 29, -4*x = -5*d + 33 + 4. Suppose -4*a - d*t = -o - 49, 3*a - 36 = 3*t. Is 16 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-27)\/(162\/(-6)) - (-27)\/(-33)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8*1\/(-20)*15\/24.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -51*a**4 + 0 + 5*a**2 - 4*a - 1 + 47*a**4 + 2 as h + l*a**3 + f*a + d*a**2 + u*a**4 and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 365 divided by 1\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -116  (b) 27  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**3 - 2*s**2 + 2*s. Suppose 18*i = 17 - 71. Let c(z) = -2*z**3 + 3*z**2 - 3*z - 1. What is i*a(r) - 2*c(r)?\nAnswer: r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the second derivative of 0*p**2 - 2\/3*p**3 + 0 + 1\/5*p**5 + 3*p + 0*p**4. Find the second derivative of k(v) wrt v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -110 + 170. Suppose -5*l + 51 = 4*c, -b = -5*c - 4*l - l. Is 15\/c*(7 + 38) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -746\/7 - -106. Let u(k) = -k**3 - 19*k**2 + 28*k + 21. Let b be u(-19). Let q = b - -4091\/8. Sort q, 3, 5, i in decreasing order.\nAnswer: 5, 3, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -5*v. Let m(s) = 11*s. Suppose h + f + 9 = 0, 4*h - 2*f + 6 = -0*h. Let k(y) = -4*y + 15. Let c be k(6). Calculate c*i(l) + h*m(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the first derivative of 1\/2*p**2 + 5*p + 7. What is the remainder when 25 is divided by h(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 562694*d**2 - 358621*d.\nAnswer: 1125388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -1828*g + 12791. Give r(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fffy when four letters picked without replacement from {f: 8, y: 6, a: 1}?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 3}. Give prob of sequence www.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12787 is divided by 164.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5035 + 9156. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, o: 4, x: 6, p: 4, r: 2}. Give prob of picking 1 o and 1 k.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5.34 - 0.34. Let j = -2 + w. Let z = -0.7 - -0.8. Which is the second smallest value?  (a) z  (b) 0  (c) j  (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -230811114*s**6 + 146086176*s**2 wrt s.\nAnswer: -27697333680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = x - 9. Suppose 5*z + 71 = -2*h + 4*h, x*z + 9 = 0. Suppose -34 = -u + h. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 269 + -219. Calculate the remainder when (6 - 2 - 3)*(m + 2) is divided by 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -3075, 2\/457 in descending order.\nAnswer: 3, 2\/457, -3075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0 - -1. Let x = a + -1. Let y(p) = -p**2 - 7*p - 4. Let t be y(-6). What is the second biggest value in 0.3, t, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 11) to base 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 22000 + -2010?\nAnswer: 12220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1704119543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14.3 - -13.9. Let o = -2 + 2. Which is the second smallest value?  (a) -3  (b) q  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3505 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -326.1 + 311. What is c rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 11 + 1 = 0. Let s = -9823 + 9831. Calculate the least common multiple of r and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2962 (base 13) in base 11?\nAnswer: -4560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a - x - 543 = -506, 159 = 18*a + 3*x for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -72*a - 724 + 1948 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -136.36 + 10774.36. Let b = 10686.97 - f. What is b rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 7409 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -531, -3192, -10117, -23442, -45303, -77836, -123177?\n\"Answer: -356*u**3 + 4*u**2 - 181*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 20245 - 20232. Suppose 0 = 8*a - 4*a. Suppose a = -n + 2*t + g, -n - 4*t = n - 58. Calculate the highest common divisor of n and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + -3 - (-71 + 67 + 0 + -8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q + 43. What is t(-9)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in seven sixths of a day?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**3 + 11*g**2 + 34*g - 12. What is f(9)?\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/(-21))\/(((-9198)\/(-147))\/(-3))?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 2366 = -4*v. Let f be (((-39)\/v)\/((-3)\/1))\/(-1). Which is smaller: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20367 + 381 = 38*u. What is the highest common factor of u and 40?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -155629*p - 4*p**2 + 2*p**2 - 155626*p + 311255*p - 27.\nAnswer: -2*p**2 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + 3 - -13 - (27 - (-96 - -65)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -3*v**3 - v**2 - v - 1. Let c be l(-1). Suppose 0 = 2*q - 2 - 14. Suppose -3*g + g = -q. Solve r = c*r + g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -22 at least as big as 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -16 - (-7 - 5) - (-1 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1856583*v**4 - 4063076*v wrt v?\nAnswer: -22278996*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -323 + 203. Let q = -117 - k. Differentiate -q + 28*m + 22 - 39*m with respect to m.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + 0 - 9 - -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-39856)\/(-3) + -2)\/((-1054)\/(-186) - 5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 7) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -55, -109, -163, -217, -271?\nAnswer: -325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 25749004 and 409?\nAnswer: 25749004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -4981.246464 rounded to the nearest ten?\nAnswer: -4980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minus 11419.97?\nAnswer: -11415.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -21598.1 plus -9?\nAnswer: -21607.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 31 = -166. Let l be (x\/6)\/(6\/(-8)). Let s(j) = -2*j. Let i(u) = -19439923 - 2*u + 19439923. Give l*s(p) + 5*i(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = d - 16. Calculate the remainder when 108 is divided by (28 + d - 4)*2.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 40 and 2852?\nAnswer: 28520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 20956129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3  (b) 7  (c) 36\/13  (d) 0.5  (e) 1.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4379 and 438153982.\nAnswer: 4379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add 1.2288 and -417577527.\nAnswer: -417577525.7712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((((-3128)\/6)\/34)\/(-2))\/((-1)\/(-3)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6704 and 7950?\nAnswer: 26648400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1021 + 1000012?\nAnswer: 332331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-72)\/(-204)*-1*(-4)\/(-24))\/(-1)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -45*k. Let r(b) = -7013400*b**2. What is h(r(s))?\nAnswer: 315603000*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -8756 smaller than -8756?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-3 - 2*m + 3)*(-3 + 3 - 2) + 4 - 4 - 2*m + 4*m - 4*m - 2*m + (0 - 1 + 0)*(1 - m - 1))*(0 + 3 - 2) in the form f + l*m and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - ((-69 - -161) + -48).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j + 10. Let g be x(5). What is the highest common factor of 40 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77)\/(sqrt(11) - sqrt(99)*2) + sqrt(140)\/(sqrt(125) + sqrt(5)))**2.\nAnswer: 28\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from rruxxxxeururrxere?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 660 minutes before 10:37 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:32 AM and 12:36 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 6 = 3*i + r, 0 = 3*i + r. Let k be 26\/5 + 16\/20 + i. Let v be (-9)\/(-22) - (-2)\/(-4). What is the closest to k in -3, v, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 minus 1729?\nAnswer: -1728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4331, 4012, 3693, 3374?\nAnswer: 3055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8609 by 3.\nAnswer: -8609\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 73*a = 21*a + 624 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i + 2*i - 2*i**4)*(24 - 24 - 5*i)*(4 - 1 - 2).\nAnswer: 10*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.57002 plus 6?\nAnswer: 1.42998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1353, -3022, -5007, -7302, -9901, -12798?\n\"Answer: r**3 - 164*r**2 - 1184*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -0.1  (b) 870  (c) 4504\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 8312504689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -2*n + 25. Let a be v(11). Solve -3*z - 2 = -t, 0*t + 3 = -a*t for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - 3) + 1 + (28 - 29).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*q + 204 = -5*q - s + 185, -3*q - 97 = 20*q + 3*s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve i - 401 + 395 = -4*p, 5*p - i - 12 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 679 minutes before 2:01 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 - 3)*(-6 - 1 + 0)*(-3*d - 2 + 2).\nAnswer: -42*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-10)\/4*4\/25. Let c = 7 + -8. Let w be c*3 + 0 + 2. Are w and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 182 - 200 - (-2 - 22)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3763, -3628, -3383, -3022, -2539, -1928, -1183, -298?\nAnswer: 733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*h + 2*h - 8447*h**3 + 23*h**4 - 6404*h**3 - 24*h**4 + (-h - 2*h + 5*h)*(3*h**3 - 3*h**3 + h**3) as f + j*h**4 + d*h**2 + r*h + n*h**3 and give n.\nAnswer: -14851","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(448) + -2) - (sqrt(448) - (1*sqrt(448) + 3)))**2.\nAnswer: -224*sqrt(7) + 1841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 560, 3, 506 in descending order.\nAnswer: 560, 506, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-3 - -2) + 63)\/(20\/330). Calculate the highest common divisor of 186 and c.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -20800, -41686, -62572?\nAnswer: -83458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the second derivative of x**4\/6 - 2*x**3\/3 - 2*x. Let p be d(-7). Suppose h = 4*h - p. What is the highest common divisor of h and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the third derivative of -i**5\/60 - i**4\/3 - i**3 - 3*i**2 + 3*i. What is m(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 107093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 47625326?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11 + -19 + 7)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -32 - -106. What is the third derivative of -29*n**2 - 9*n**3 - o*n**2 + 5*n**3 wrt n?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 210 by -105.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 57 + 58 - 271 + 87 + 69 + 20*c.\nAnswer: 20*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -7*q**3 - q**2 + 6. Suppose 4*p - 14 = 5*n - 6, 0 = -2*p - n + 18. Let w(s) = 8*s**3 + s**2 - 7. Suppose 9*h = 5*h + 24. What is h*w(f) + p*u(f)?\nAnswer: -f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the second derivative of 7*o**6\/5 - o**3\/6 + 2*o**2 + 21*o + 4. Find the second derivative of b(k) wrt k.\nAnswer: 504*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(208)*1 + sqrt(13) - (3 + sqrt(13) + sqrt(468)))**2.\nAnswer: 12*sqrt(13) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -a9bb00 (base 15) to base 4\nAnswer: -132312312033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 87245567 to the power of 1\/3, to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -113 + 116. Solve b = -2, -l*i - 2*b = -0*b - 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 578 divided by 578\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (9\/3)\/(-3*(-2)\/(-4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -518, -1031, -1540, -2045, -2546?\nAnswer: -3043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 28360624 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 33511213 by -1.\nAnswer: -33511213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3167 + 5420. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3702999 + 7*t + 1234339 + 1234328 + 1234332.\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*u**3 - 2*u**3 - u**3)*(-u + 2*u + 3*u)*(2 + 2 - 2)*(-4 - 2 + 4).\nAnswer: -16*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 140571 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00135504647 to 4 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 989, 1868, 2643, 3314, 3881?\n\"Answer: -52*t**2 + 1035*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3, -21, -55, -111, -195, -313, -471, -675?\nAnswer: -931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 391 and 10879?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/9, -5, 598, -28, -4\/5, 12.\nAnswer: -28, -5, -4\/5, -2\/9, 12, 598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1973 = 9*f - 12*f + 4*j, 0 = 5*j - 5. Calculate the remainder when f is divided by 95.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 - -2623432?\nAnswer: 2623435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes before 5:35 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 306189, -4, -0.219 in descending order.\nAnswer: 306189, -0.219, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 65, 90, 141, 230, 369, 570, 845?\nAnswer: 1206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -21 - -47. Suppose 2*m - m - h = 0. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q**2\/8 + 1094727*q\/4 + 24084357\/8 = 0 for q.\nAnswer: -11, 729829","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x - t + 6 = 0, 5*t - 12 - 8 = -3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.1 + -5.1. Let w = -8 - -8. Which is the closest to w?  (a) -1\/5  (b) 0.3  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 636.49 + -632. Let y = z - 0.39. What is y rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 8 + x**2 + 1 + 9*x + 0*x**2 - x. Determine m(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vevvveeuvvvvve. What is prob of sequence uv?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 770 + 833 = m, -2*m - 81 = -3*z. Solve 5*f - 5*s = 0, -5*s + z - 3 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 24 = -4. Suppose -5*a + 35 = 5. Suppose 5*z - g - 15 = 0, -a - 13 = 3*z + 5*g. What is the smallest common multiple of k and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 6 = -10. Suppose 0 = 4*f + z*s - 7 - 43, -2*f = -3*s - 5. Suppose 5*k - f*k = -45. Solve -w = -4*h + 23, 3*h - 4*w = -k*w for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 178 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 2 = 2*j + 2*f, -2*j + 4 = -2*f. Let s(p) = p**3 - 8*p**2 - p + 8. Let v be s(8). Solve t + j = -v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -27289.28002 + 27290. What is f rounded to 3 dps?\nAnswer: 0.72","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 3*u - 2. Let q(g) = g**2 - 8*g + 10. Calculate the least common multiple of o(8) and q(8).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32*n**3 - 25*n**3 - 23*n**3 + 16*n**3 - n**3.\nAnswer: -65*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u + 4*w + 15 = 0, -2*u - 6 = 6*w - 2*w for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 229  (b) 4  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -818 * -250.746.\nAnswer: 205110.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -23.9442891+0.3\nAnswer: -23.6442891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**2*o)\/(o\/(o*o*o\/((o*o**(-1\/3)*o)\/o)))*o**6*(o\/(o*o\/((o*o**(-3))\/o)))\/o assuming o is positive.\nAnswer: o**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 60822977 is divided by 7602872?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 2 w when three letters picked without replacement from jwwjjjjjjj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 46266 - 15509. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -38444 at most -38443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 1, 814 in decreasing order.\nAnswer: 814, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -77\/36 and 137\/2124.\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 62 and 14167.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26448 = 946*m - 34*m for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5876548.0600101 + -5876547. Let r = -1.31 - -0.25. Let h = d + r. Round h to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -940*k - 21. Suppose 24*z - 9 = 33*z. List the prime factors of d(z).\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in s**2 + 0*s**2 - 10*s - 3*s**2.\nAnswer: -2*s**2 - 10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 142*k**2 - 32*k + 4. Give a(2).\nAnswer: 508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 1521*j - 28832. What is y(19)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2.99 + -134.99. Let f = 130 + k. What is the nearest to f in 0, 2, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/1664 and 3\/109033408.\nAnswer: 2834868608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -22\/357 and 25\/857871.\nAnswer: 857871","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10622, 10420, 10082, 9608?\nAnswer: 8998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1829 divided by -3.\nAnswer: -1829\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 0.03, 4, -6804.\nAnswer: -6804, -0.3, 0.03, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 830897 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 106*d - 481936 = 168314 + 361838. What are the prime factors of d?\nAnswer: 2, 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -82.9 * 1.16.\nAnswer: -96.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*i - i - i)*(-4 + 4 + 1)*(-819 - 1717 + 442 - 161) as n*i + z and give n.\nAnswer: 4510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 24.6, -0.2, 0.8, 3 in ascending order.\nAnswer: -3, -0.2, 0.8, 3, 24.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1569781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = -0*y + 4. Let t = 201 + -199. What is the first derivative of 5*c**2 + 1 + y*c**2 - 3*c**t wrt c?\nAnswer: 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 5 + 10)*(-p + 1 - 1) + (-2 + 3 - 7)*(112*p - 60*p - 42*p)*(1 - 4 + 2).\nAnswer: 55*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) 1\/5  (c) -0.3  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -115, -229, -343?\n\"Answer: -114*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 884336 and 5814.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m**4\/3 + 63130*m**3\/3 + 1200368*m**2\/3 - 5558968*m\/3 + 1937152 = 0. Calculate m.\nAnswer: -23, 2, 31584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1\/(5 + -4) + -3 - (-133 - -1) and 507.\nAnswer: 5070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -29\/302 + 996\/151. Factor l*n**2 + 9\/2*n**4 - 15*n**3 + 10*n + 2.\nAnswer: (n - 2)**2*(3*n + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k**4\/4 + 714*k**3 + 891549*k**2\/4 + 22645305*k - 69961239 = 0.\nAnswer: -391, -282, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c - 3*a - 12, -6*a - 52 = -3*c - a. Solve 5*l = -2*j + c, -l - 2*j = -13 + 5 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the third derivative of -3\/280*t**8 + 0*t - 2\/175*t**7 + 29\/300*t**6 - 1\/75*t**5 + 0 + 8\/15*t**3 - 1\/3*t**4 + 6*t**2. Solve f(x) = 0.\nAnswer: -2, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 4*n**2 - 10*n + 4. Let z be a(8). Let x = z + -106. What are the prime factors of 4\/(-10) + x\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -22096832\/37 greater than or equal to -597213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.8 + -0.3. Suppose 0*c - 2*c = 4. Let v be -6*(-1)\/4*2. What is the biggest value in w, c, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 271\/35 + -50\/7. Let b = 0.03 - 0.43. What is the closest to c in b, -0.1, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1087\/7 - 155. Let s be 154\/(-2) + 468\/9. Which is smaller: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ffxxfxx. Give prob of sequence ffx.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.6 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 1857429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9 - 5. Suppose 4*w = u*m + 72, 4*m + 67 = 5*w - 25. Suppose -3*g + 2*x - 2 + 50 = 0, -4*x = 4*g - 64. What is the lowest common multiple of w and g?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 3*w = -125, d + 10*w - 25 = 5*w. Suppose 4*x - 2 = 5*i, 5*i + 2*x - d = -3*x. Solve -4*j - 4*b + i*b = -20, 4*j - 20 = -b for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 90537741?\nAnswer: 3, 7, 239, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -51\/32 and -43\/473100?\nAnswer: 3784800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 3\/40  (b) -19  (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqss when four letters picked without replacement from {s: 8, q: 5}?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 64580 and 10?\nAnswer: 64580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(847) + sqrt(847))*3*3 + ((sqrt(7) + sqrt(112))**2*-6 - (sqrt(63))**2*4).\nAnswer: -1302 + 297*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2065 is divided by 455.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 82 - 83.95. Let v = y - -2. Let c = v + -0.05. Which is smaller: c or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 70*b**2. Let y(g) = g**2. What is w(y(d))?\nAnswer: 70*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (34\/36)\/((-13)\/(-130)) + 36\/(-81). What is the highest common factor of n and 25011?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -391 + 415. Let o be ((-1)\/(9\/6))\/(5\/(-75)). Solve -4*s - l = -o*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3729.75 + -0.3604421?\nAnswer: -3730.1104421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c + 6*r = 144, 5*c + 382 = 22*r + 9*r - 444 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 316592 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6\/11, 2\/5, 1.21, 2 in ascending order.\nAnswer: 2\/5, 6\/11, 1.21, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -1470\/677, 1, 2, 3, 0.1 in descending order.\nAnswer: 3, 2, 1, 0.1, -1470\/677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 398\/12212405 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -1. Let f(m) = 5*m**2 - 10. Give -f(o) + 10*r(o).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/1 + (-10 + 9)*-4. Suppose -p*g - 12*g = -39491. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 - 1. List the prime factors of (9\/(-15))\/(z\/(-180)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*k + k + 7*k.\nAnswer: 20*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0 + (-3 - 84\/(-30)). Is t smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -90766, -90767, -90768?\nAnswer: -90769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 19 and 9856117.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 5*a**2 + 5*a. Let d(g) = 4*g**2 + 6*g. Let w(t) = -5*d(t) + 6*r(t). Let c(x) = 40*x**2 - 28*x**2 - 19*x**2. Give w(c(s)).\nAnswer: 490*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 20688851047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*a - 470 = 250. Let d be (4\/(-6))\/((a\/792)\/(-5)). What is the greatest common divisor of d and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 minutes after 11:56 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n - 21. Let b(x) = -8*x + 127. Let z(g) = -2*b(g) - 13*k(g). Let o be z(-5). What is h in -2\/11*h**5 + 0*h - 4\/11*h**o - 2\/11*h**3 + 0*h**2 + 0 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.3 from -10125483626.\nAnswer: -10125483625.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + d**2 + 0)*(17*d + 97 - 97) + (3*d**2 - 1 + 1)*(2*d + 174 - 174).\nAnswer: 23*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 10717567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 63 + 97 = 0. Let d be (b\/12)\/(2\/105). Round d to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1322*x + 12295 = -12823 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9640565 nanograms in tonnes?\nAnswer: 0.0000000000000009640565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**4 - 16*f**3 + 36*f**2 - 32*f + 10.\nAnswer: 2*(f - 5)*(f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 38, -43, 2, 20, -1 in descending order.\nAnswer: 38, 20, 2, -1, -4, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -2*q**2 - 135*q + 1591. Calculate u(-72).\nAnswer: 943","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from doddddodddod.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 - 13. Let u = p + 48. Calculate the remainder when u is divided by -22*(-1 + 1\/2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3.5 and -0.25?\nAnswer: 0.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the third derivative of t**6\/80 + t**5\/5 + 5*t**4\/4 + 4*t**3 + 909*t**2 - 2. Determine g so that z(g) = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 173 + -3?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 106 = 3*k - 4*s, 0 = -5*k - 2*s + 143 + 25. Suppose 13*m = 16*m - 153. What is the greatest common divisor of k and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -4*r - 31, 5*r - 41 = -5*c + r. Suppose 3*z + 37 = 61. Calculate the least common multiple of c and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -317.070787345 - 229.\nAnswer: -546.070787345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 15 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -2*d**2 - 269*d + 42921. Calculate s(-229).\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 2*l**3 - 13*l**2 + 12*l - 9. Calculate r(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*q + q**3 + 4*q)*(1 - 1 + 3*q**2) - 5*q**5 + q**2 - q**2.\nAnswer: -2*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1010222202342 - -2?\nAnswer: 1010222202344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 33.103898 rounded to 2 dps?\nAnswer: 33.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 151\/72 and -34\/296721?\nAnswer: 2373768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 2 x, and 1 a when four letters picked without replacement from {r: 5, n: 1, a: 1, x: 7, l: 2}?\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 715 + -712. Which is the fourth biggest value?  (a) f  (b) -10  (c) 2\/9  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t - 2*t**3 + t)*(-3 - 4 - 3 + (6 - 1 - 3)*(-3 - 1 + 5) + 2 + 3 - 7 + (13 - 2 + 2)*(-3 - 1 + 5)).\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3412704 and 399.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 641*o**2 - 5*o + 7. Is w(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3\/(-4)*2*(-6 - -7). Let c(g) = -g**3 - 12*g**2 - g - 12. Let d(k) = -2*k + 6. Let x be d(9). Let t be c(x). What is the biggest value in f, t, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -2 + (-2 - -35 - -1) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8090 + 8078. What is the closest to 0.5 in 4, -1, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 858333017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 10, -5, 3, 0, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 60.236 - 60.2. Let g = 269.036 + -271. Let m = g - d. What is the closest to m in -3\/4, 0.3, -7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 56, 118, 180, 242?\nAnswer: 304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 6*g**2. Let o(a) be the third derivative of 0 + 0*a - 1\/4*a**4 + 0*a**3 - 73*a**2. Give b(o(h)).\nAnswer: 216*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 78 divided by 42?\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = f + 162. Suppose 0*m + 4*k = -2*m + 42, 0 = 2*m - 2*k - f. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 - -1. Suppose -23 = -s*r - 7. Let t(p) = 3*p - 2. Calculate the lowest common multiple of t(3) and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 2*w**2 + 23*w - 16. Suppose 2*i - 38 = 2*b, 2*b + 10 = -0*b - 2*i. Determine m(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:27 PM and 11:17 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 - -3. Let i(x) = 4*x + n + x**2 + 4 + 2 - 2. Does 3 divide i(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 36 - 4. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 2*p**3 + 17*p**2 - 8*p - 120. Determine n(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2 - 3. Let t be (-1*(-12)\/l)\/(-1). Let h be 252\/45 + 4\/10. Calculate the highest common divisor of h and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -405, -360, -247, -36, 303, 800, 1485?\nAnswer: 2388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence frn when three letters picked without replacement from rrrfffrcnrffffffnff?\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 7981185696 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 631394.\nAnswer: 2, 315697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 plus -64.62?\nAnswer: -66.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -107\/176 and 113\/120480.\nAnswer: 1325280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 185193708 to the power of 1\/3, to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4\/5?  (a) -0.2  (b) 0.1  (c) -0.4966  (d) -780\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 2*u = 4*h + 70, 4*h = u + 2. Suppose -151 = -o - u. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1426)\/(-14260))\/(((-9)\/3)\/114).\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 578, 553, 478, 329, 82, -287, -802?\nAnswer: -1487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that -3*k**2\/4 - 225711*k\/4 - 3889944 = 0.\nAnswer: -75168, -69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1246, 1091, 936, 781, 626, 471?\n\"Answer: -155*b + 1401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/2*(1 - 3). Let o be (-3)\/n*(3 - 5). Factor -u + o*u**3 + 2*u - 3*u**2 - u**3 + 0*u**3.\nAnswer: u*(u - 1)*(2*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 54853 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-80)\/5)\/((-3)\/((-12)\/8))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1526573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((0 + 0 - 2)*(2 - 2 - 3*o) + 4*o + 4*o - 4*o)*(1 - 1 + 2) to the form j*o + k and give j.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 (base 15) in base 13?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -385435 - -2?\nAnswer: -385433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -45438 * 7843.\nAnswer: -356370234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*f - 59*f + 34*f - 11*f**2.\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(200) + 1))**2.\nAnswer: 720*sqrt(2) + 7236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 48 + 6 = -3*g, 4*v + 3*g = -42. Let f(w) = w + 13. Determine f(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 8584247.7s?\nAnswer: 99.35471875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -2\/5  (b) 53  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 (base 10) in base 2?\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2394*b**3 + 1079*b**3 + 79*b**3 - 297*b**3.\nAnswer: 3255*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42089 is divided by 61.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.74708 - -0.24708. Put 4, d, -6\/11, 8, -5 in increasing order.\nAnswer: -5, -6\/11, d, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15996585?\nAnswer: 3, 5, 11, 67, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 * 8449194\nAnswer: 4224597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4306, 22620, 54954, 101302, 161658, 236016, 324370?\nAnswer: 426714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-15)\/(-5))\/(-3))\/(-5)*(-19133)\/(-361).\nAnswer: 53\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27300291.\nAnswer: 3, 2671, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 3831, 3838, 3845?\n\"Answer: 7*h + 3824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 5*g = 27, 4*g - g = 4*t - 23. What is the second derivative of -25*a**2 - a**t - 109 + 107 + 47*a wrt a?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 5*p**2 + 8*p - 10. Let s(c) = 11*c**2 + 16*c - 21. Let f(m) = -9*o(m) + 4*s(m). Let a be f(-8). Let w = a + 11. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1*3\/(-6))\/(3\/(-36)). Let o(h) = -h**3 - 4*h**2 + 8*h + 6. List the prime factors of o(v).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - 3) + 284\/(-8)*15\/(-270).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6624106480 + -6624129332.110088. Let f = g - -22852. Let n = f - -0.11. What is n rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 2743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that -3*u**2\/8 + 843*u\/8 - 1251\/4 = 0.\nAnswer: 3, 278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -c**2 - 10*c - 3*c**2 + 3*c**2. Let w = -31 - -26. What is z(w)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26 + -37 - (4 + -2 + -2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*o + p + 1 - 4, 2*o + 4*p - 2 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(17) + 1)**2 - (sqrt(17) + 2)*-6.\nAnswer: 54 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.09*164.43.\nAnswer: -14.7987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2914322, -5828666, -8743010, -11657354, -14571698?\nAnswer: -17486042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1400182172 and -0.5?\nAnswer: 1400182172.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 540 != -1054?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -55\/18261568 and -79\/303056.\nAnswer: 566108608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -9*b**2 + 5. Let c(s) = -18*s**2 + 9. Let k(u) = -5*c(u) + 9*v(u). Let a(p) be the first derivative of 3\/2*p**2 + 0*p + 51. What is k(a(r))?\nAnswer: 81*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/6*(2 + -2). Let t = -0.06 + 0.46. What is the second smallest value in -1, c, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q + 2. Let m(o) be the second derivative of 1\/3*o**3 + 0 + 19*o + 2*o**2. Suppose 0 = 4*l + 3*a - 6 - 7, -19 = -2*l + a. Determine l*z(g) - 4*m(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 2, y: 1}. Give prob of sequence zy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -5671005 divided by -5179?\nAnswer: 1095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(-3 + sqrt(7)) + sqrt(14)\/(sqrt(14)\/sqrt(7)))**2.\nAnswer: -180*sqrt(7) + 499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**2 - o. Let g(z) = -3*z**2 - 1. Let v(w) = -4*f(w) - g(w). Let q be v(3). Suppose q*y - 14 = 18. Calculate the remainder when y is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d**4\/4 - 29805*d**3\/4 - 119265*d**2\/4 - 29835*d\/4 + 89451\/2 = 0. What is d?\nAnswer: -3, -2, 1, 9939","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4\/5, -3\/7, 0.1, -0.6216, 2, 0.3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 7*a**3 - 140*a**2 + 59*a - 1187. Determine f(20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o**2 + 2*o - 4. Let u(w) = 4*w**3 - 42*w**2 + 15*w - 7. Let f(y) = 4*i(y) - u(y). What is the second derivative of f(g) wrt g?\nAnswer: -24*g + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 + -11 - -4) + 9 + -14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 539 minutes after 1:35 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*q - 31*q + 33*q + 34 - 18*q.\nAnswer: -21*q + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 2, z: 4}. Give prob of picking 2 z and 2 p.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(-57)*3\/(-3)*-2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the second derivative of 4*r**2 + 0 + 0*r**4 + 7\/15*r**6 + 0*r**3 - 14*r + 0*r**5. Differentiate w(o) wrt o.\nAnswer: 56*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5 or 68\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -614*x**5 + 1933*x?\nAnswer: -12280*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 3020*w**2 + 102*w - 307. Is b(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(48))**2 - (sqrt(192) + 2)**2*5.\nAnswer: -160*sqrt(3) - 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 41306329*c**2 + 25708*c + 4.\nAnswer: (6427*c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**(-2\/33)*m**(3\/5))\/(m*m\/(m**1*m*m)*m\/(m**(3\/5)*m)) assuming m is positive.\nAnswer: m**(518\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**3 - 9*m**2 + 2*m + 1. Let y be c(7). Let a = 223 + -29. Let j = a + y. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 17, -2, 0 in decreasing order.\nAnswer: 17, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 25352680 to the nearest integer?\nAnswer: 5035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and 9\/105544 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = h**3 + 4*h**2 + 5*h + 140. Give r(0).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 2*t - 8 - 5 = 0, 3*l = 4*t - 1. Suppose 43 = l*p - 32. Solve -2*c = c + p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 divided by -33630?\nAnswer: -1\/5605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*n + 2*j + 8 = 0, -5*n + 0*j + 20 = -5*j. Which is greater: 6\/7 or n?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**(4\/19)*m**(-7))\/(m*m\/((m*m**(5\/9)\/m*m)\/m)*m)**(-3\/4) assuming m is positive.\nAnswer: m**(-451\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/10?  (a) -408  (b) 3  (c) -1  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 17070352, 17070349, 17070346, 17070343, 17070340, 17070337?\n\"Answer: -3*x + 17070355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*c**3 - 33*c**2 + 21*c + 441 = 0. Calculate c.\nAnswer: -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 8 + -4664?\nAnswer: -4656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = h - 203*q + 201*q, 0 = h - 3*q + 21. Solve 3*j + 4*l + 19 = h, 0 = 3*j + 2*l + 19 - 2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -3*k**2 + 3*k**2 - 5*k**2. Let j(z) = 17086 + 6*z - 17086. Give j(d(m)).\nAnswer: -30*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 201453?\nAnswer: 3, 7, 53, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 301, 1210, 2725, 4846, 7573, 10906?\nAnswer: 14845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 5\/37851058 and 58\/77.\nAnswer: 416361638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s + 1 - 6. Let b be (-4)\/8*s*-10. Let n(m) = m**3 - 4*m**2 - 4*m - 4. What is n(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 9*s - 216. Calculate m(19).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 4, v: 3, h: 1, e: 3, n: 1, l: 3}. Give prob of sequence nv.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -9 in 4.1, 2\/9, -26, 1\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -7 - (40\/(-10) - 9). Let u(b) = -2*b - 7. Let d(k) = 2*k + 7. Give c*u(l) + 7*d(l).\nAnswer: 2*l + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.4 not equal to -0.05947?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8*(-4)\/(-96))\/((-3)\/18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -230564 (base 8) to base 6.\nAnswer: -1402004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 88 - 92.9. Let o = 5 + s. What is the nearest to o in 2, -1\/2, -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1607?  (a) -3  (b) 0  (c) 19  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-66 + 80)*(-4)\/8\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 378 and 168?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*p = -7*p + 134 + 22 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3b63ac + -2?\nAnswer: -3b63ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.8341068l?\nAnswer: 834.1068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -5.42 times 397\nAnswer: -2151.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 109597.\nAnswer: 109597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/1*2 + 3. Suppose 0 = h - 0*h + s*d - 43, 131 = 5*h + 4*d. What are the prime factors of h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 370146045 and 4475?\nAnswer: 1850730225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1783*z**2 - 2*z + 14417.\nAnswer: -3566*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1412\/1617 + -26\/1617. Let b = 0.2 + -1.2. What is the closest to z in b, 2, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((4 + 0 + sqrt(1539) - sqrt(1539)) + -1 + 3 + -1 + (1 + sqrt(1539) + sqrt(1539))*2 + -3)*4)**2.\nAnswer: 4608*sqrt(19) + 394240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 584.6045l to millilitres.\nAnswer: 584604.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13708.\nAnswer: 2, 23, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6 - (-5 + 6)\/(-1). Calculate the greatest common divisor of b and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from wennwwewepnewew.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/14*(7 - 0). Let r(h) = h + 2 - b + 6. Suppose 2*l + 1 = -5*s - 5, 0 = -5*l - 15. Give r(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 137728 is divided by 45909?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g**2 - 12*g + 3. Let a(s) = s**2 - 2*s - 3. Let o be a(-3). Let q be y(o). Factor x**2 - 1\/2*x - 1\/2*x**q + 0.\nAnswer: -x*(x - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:54 PM and 1:32 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 68697884*z**2 - 96158071?\nAnswer: 137395768*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from svuusk. What is prob of picking 1 k, 1 s, and 2 u?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 28*u + 98*u + 34*u as n*u + z and give n.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -43, 649, 1793, 3389, 5437?\nAnswer: 7937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:20 AM and 8:08 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k. Let m(g) = 25*g + 5. Determine m(i(y)).\nAnswer: -25*y + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -90, -157, -284, -483, -766, -1145, -1632?\n\"Answer: -2*m**3 - 18*m**2 + m - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 255088894 a multiple of 521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 2*s - 4*s + s. Let l(i) = -7*i. Let u be 2 + 2 + -1 - 9. Suppose -z = -0 - 1. Determine u*y(c) + z*l(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u = -2*n, -257440*n + 257437*n - 4 = u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 55112631 is divided by 1366.\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 4, r: 6, h: 2}. Give prob of picking 2 h.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -5*o**2\/4 + 295915*o - 17513137445 = 0?\nAnswer: 118366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 3495.812361 to the nearest 10.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5337310.\nAnswer: 2, 5, 11, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, 0.03, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -12*g + 474. Determine o(39).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-2\/15))**(-1\/6))**(25\/4)\/((l*((l**(-1\/5)\/l)\/l)\/l)\/(l\/((((l**(-2\/3)\/l)\/l)\/l)\/l))*(l\/(l**(-1\/2)\/l))**(1\/16)) assuming l is positive.\nAnswer: l**(11303\/1440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.58  (b) 0.2003  (c) -7  (d) -3  (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -57.208 rounded to the nearest integer?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**2. Let i(c) be the third derivative of 595*c**4\/24 - 1003*c**2. What is o(i(y))?\nAnswer: -354025*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -589 + 595. Solve 4*j + f + 12 = 0, -9*j + 7*j - r = 5*f for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7975 and 825.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:54 AM and 4:59 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - 4 - ((-7 - -1) + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*s**3 - 3*s**3 + 4*s**3 + (-2 - 5 + 6)*(4 - 1 - 2)*(-4 - 3*s**3 + 4)*(1 - 1 + 1) + (s - 3*s + 3*s)*(s**2 - 3*s**2 + 3*s**2) - s**3 - 3*s**3 + 5*s**3.\nAnswer: 11*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 3285 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 128, 1, -2 in decreasing order.\nAnswer: 128, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -21200 (base 5) to base 7\nAnswer: -4104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m\/m**(-4))*m)\/(m**(-7)\/m)*m\/m**(2\/3)*m**2)**(-13) assuming m is positive.\nAnswer: m**(-286\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 0.07093 times 2\nAnswer: 0.14186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -93 = 5*r - 618. Suppose 3*i + r = 4*g, 3*g + g = 4*i + 108. What is the remainder when 117 is divided by g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3402581?\nAnswer: 7, 13, 139, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 559991156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*s**5 + 0*s**5 - s**5 + (-2*s**2 + 2*s**2 - 2*s**3)*(-2*s**2 + 4*s**2 - s**2) + s - s**5 - 4*s + 6*s.\nAnswer: -2*s**5 + 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 551208 and 96.\nAnswer: 2204832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 0.16  (b) -2\/21  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 741582 by 370791.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 78\/(-14) + 6 + 0. What is the nearest to l in 3, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 times 0.29?\nAnswer: 0.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 858 and 4602?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -15, -3, 2?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*n - 3799 = -3981. Which is the smallest value?  (a) -2\/11  (b) -0.2  (c) n  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -24\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/(-2) + (-2 - -2). What are the prime factors of 52 - -3 - (-5 + x)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/565458, 25\/3, 0 in increasing order.\nAnswer: 0, 1\/565458, 25\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-19 + 5)\/2)\/((1 - -3)\/4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 4\/75, -1, -1722 in increasing order.\nAnswer: -1722, -2, -1, 4\/75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -3*n**2 - 10*n + 7. Let o be i(-4). What is the closest to 0.1 in o, -3, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 134*s + 8*s = -375*s + 30*s + 5844 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -99120, -199524, -299928, -400332?\n\"Answer: -100404*m + 1284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (-3 + (-5*-1*sqrt(36) - sqrt(36))\/(sqrt(300)*1) + -5)**2.\nAnswer: -64*sqrt(3)\/5 + 1748\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*1*(sqrt(162) - (1*sqrt(162) + sqrt(162)))**2 + 2.\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 252449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9702, 0, 3, 35 in decreasing order.\nAnswer: 35, 3, 0, -9702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n, 1 r, and 1 m when three letters picked without replacement from rvrnrbvrmmmfvvmvrnm.\nAnswer: 50\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z = -2*w - 10, 61*z - 66*z + 13 = w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4 + -1 + (-15)\/(-3) + -8. Solve b - 7*b = m for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z**5 - z**4 + 12*z**3 + 28*z**2 + 16*z = 0. Calculate z.\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 50 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 0.80518 days?\nAnswer: 69567552000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18379 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 69.53418 decades to millennia.\nAnswer: 0.6953418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 32 + -23. Suppose 2*y - 2 = 3*p - s, -3*p - 5*y = 28. Let c = 2\/37 + -43\/111. Which is bigger: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1640679 to the power of 1\/2, to the nearest integer?\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 0.3170643 micrometers?\nAnswer: 317.0643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 17 + -7. Suppose -2*a = -4*a - n. Let m(o) = -15*o - 3. Let v(i) = 7*i + 2. Let y(k) = -6*m(k) - 13*v(k). Calculate y(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 5*d - 16. Suppose 0 = 14*f + 122 - 374. What is the least common multiple of (2 - 26\/10)\/(f\/(-540)) and d?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -2*i + 35. Give w(18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26 + 14 = 2*k + 6*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 + z**2 - z**2 - 4 - 2321*z**3.\nAnswer: -2321*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 110*k*l**2 + 20*k - 19*l**2 - 38*l wrt l.\nAnswer: 220*k - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 - 28\/3)*3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4\/4*10 - -67. Let f = -2 - -4. Suppose 139 + l = f*b. Calculate the highest common factor of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5\/6, -11\/3, -13, 2, -2\/17, 4?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 9?  (a) -9  (b) 9\/19  (c) -653  (d) 2  (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5dc35 (base 15) to base 5.\nAnswer: 34043000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3400 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -78984, -78981, -78976, -78969, -78960?\n\"Answer: t**2 - 78985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3802 + 7724 - 3703 + 180*f**3 wrt f?\nAnswer: 540*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 366 - 365.44. Let v = f - 98.96. Round v to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36113 = -1342*r - 6589 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*l = -28 - 0. Put l, -4, -5 in decreasing order.\nAnswer: l, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 22 - 20. Solve -4 = -t*n - 0*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 19 = -21. Calculate the remainder when 30 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2833, 11194, 25129, 44638, 69721, 100378, 136609?\n\"Answer: 2787*g**2 + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9442, -18792, -28090, -37330, -46506?\nAnswer: -55612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -4*i + i - 1337, -4*o + 2*i = -1070. Let l = o - 223. Calculate the least common multiple of 25 and l.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 115212 = 32*x - 175892. Let j = 15240 - x. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 359 minutes before 4:35 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 6*o = 3*a + 45, -100 = 5*a - 5*o. Let p(x) = -x**2 - 16*x - 11. Let r be p(a). Solve -r*z + 9 = -d - 3, 3*z + 3*d + 6 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the third derivative of -m**4\/24 + m**3\/6 + 82*m**2. Give y(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 less than 0.029568?\nAnswer: -1.970432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -731\/4 + 183. Which is greater: c or 7\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 222*w + 4*w**4 + 2 - w**3 - 228*w + 4*w**3 wrt w?\nAnswer: 48*w**2 + 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12039*y + 766*y**3 - 765*y**3 + 12080*y.\nAnswer: y**3 + 41*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.117134521316 - 0.2?\nAnswer: -0.082865478684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 151 + -170.5. Let d = u - -25.4. Does 1 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9191 (base 14) in base 7?\nAnswer: 132641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -3*j - 4. Let p be g(-3). Put 4, p, 9 in increasing order.\nAnswer: 4, p, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12274976?\nAnswer: 2, 7, 54799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 3*c + 2 - 2*c - 5*c + c. Let p be t(0). Solve -12 = -p*n - 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes after 2:12 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (-305)\/(-35) + (-14)\/(-49).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 166, 1965, 6848, 16357, 32034?\nAnswer: 55421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in -0.0187, -78, 2\/13?\nAnswer: -0.0187","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 544226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 34762 and 1183.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2.8  (b) 0.6  (c) 0.1  (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*f = 23*f + 8. Let x(y) = 2*y**2 - 5*y - 7. Let k be x(f). Put -1, k, 3, -4 in ascending order.\nAnswer: -4, -1, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f**3 + 17*f**2 - 26*f - 57. Let w be t(15). Let j be 2*((-50)\/(-4))\/5. Suppose 0 = -2*r + y + 22, 2*y = -r + j*y + 21. Solve 4*u - w = r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve a = -t, -3*t - 86*a + 82*a = 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 7*h - 7. Let p(l) = 4*l - 1. Suppose -4*t - 2 = 14. Let v be p(t). Let u(a) = 20*a - 20. Give v*m(d) + 6*u(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -505*v = 135*v - 103*v - 9435 - 9897 for v.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 494621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -3894 (base 12) to base 15\nAnswer: -1d9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 + -4 - 7 - 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 40, 8446, -4, 1.\nAnswer: -4, 1, 3, 40, 8446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = a - 101, 0 = -6*a + 4*a - 3*p + 187. Solve -2*l - a = -82 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 23 + -11 + (-9 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -261 - -280.2. Let y = p + -18.86. Which is the smallest value?  (a) -2\/3  (b) -3\/2  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(187)\/(-6*sqrt(396)))**2 - 2*((((-4*sqrt(204) + sqrt(204) - sqrt(204)) + sqrt(204))\/sqrt(12))**2 + sqrt(17)).\nAnswer: -396559\/1296 - 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1383743 from 1522455.\nAnswer: 138712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 31487623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 6086 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 501*h - 260*h - 243*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 584 minutes after 11:54 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -32*f**2. Let m(h) = 932091*h. Determine m(z(j)).\nAnswer: -29826912*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 14) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 331794690 to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 33200 - 33032.972. Let u = -167 + q. Round u to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -55479 from -122.1.\nAnswer: 55356.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 4*v = -y - 6, -3*y + v = -2. Suppose 12*h - y = 13*h. Which is the nearest to -2\/7?  (a) h  (b) -0.3  (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/13 in -1\/4, 0.84, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 30 + -17. Suppose o + 2*o = 4*h + 36, 5*h = o - 23. Calculate the remainder when u is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8 and 328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 + 2 + (3 + 0 - 4)*(-1 + 0 - 1))*(3 - 3 + 1)*(k - 4*k + k).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.002 + 16.998. Let i = z + -41. Let o = i + 23.6. Put -2\/9, o, -0.02 in ascending order.\nAnswer: o, -2\/9, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-2\/23))**(-32)\/(((z\/(z*z**(-4\/3)))\/z)\/(z\/z**(-1\/5))))**46 assuming z is positive.\nAnswer: z**(2518\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 1359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*n + 10*n + 5*n)*(2*n + n - 4*n) + n**2 - 3*n + 3*n.\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/26392 and 179\/197940?\nAnswer: 395880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*i**2 + i - 2*i**5 + 0*i**2 + 3*i**5 - 5*i**5 - i**5 + i**2 - i**2 + 2*i**5 + (2*i**4 + 0*i + 0*i)*(-3*i + 3*i - 2*i) - i**5 - i**5 - 5*i**5.\nAnswer: -14*i**5 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (250*h - 32*h + 77*h)*(-h - 3 + 3) - 9*h**2 + h**2 + 16*h**2 as x + u*h + w*h**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 23.154873 months?\nAnswer: 0.0192957275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -941 in 69, -3, 746?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -3045, -6098, -9191, -12330, -15521, -18770, -22083?\n\"Answer: -o**3 - 14*o**2 - 3004*o - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*y**4 - 176*y**3 - 1984*y**2 - 5376*y.\nAnswer: -4*y*(y + 4)*(y + 12)*(y + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -96349816*j**3*s**2 + 4*j**3 + 2*j*s**2 - 5*j*s + j - 277*s**2 - s + 9270 wrt j.\nAnswer: -578098896*j*s**2 + 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 2*m**2 - 4*m - 5. Let y(h) = -2*h + 1. Let k be y(-2). Let p be i(k). Let s = 14 - 10. Solve 5*w + c + p = 5, 0 = w - s*c - 17 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from aieuehhyuihi.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 5267 divide 2844332743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3\/(-2)*1\/2. Suppose 0 = -3*n - 2*z + 67, -7*z + 3*z = 2*n - 58. Suppose -5*p - n + 3 = -2*t, -9 = 3*p - t. Which is smaller: d or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes before 9:57 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -34 divided by 17\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2112 and 28534?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y - 6*f = -147, -33*y - 3*f = -34*y + f - 97 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**2 + 8*y + 1. Suppose 153 = -10*d - 7*d. Let l be w(d). Suppose -550 = l*r - 2110. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -954 + 1375. Let p = x + -416. Solve 0*d + 0*d**3 - 3\/4*d**4 + 0 + 0*d**2 - 3\/4*d**p = 0 for d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47599951.\nAnswer: 7, 6799993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1779)\/(-3558)*2\/16.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 minutes after 11:05 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 236 divide 201371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43509.\nAnswer: 3, 14503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -9*d**3 + 57*d**2 - 51*d + 15. Let k(h) = -8*h**3 + 56*h**2 - 51*h + 16. Let p(b) = 3*k(b) - 4*s(b). Factor p(x).\nAnswer: 3*(x - 4)*(2*x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c + 1. Let w be p(7). Let m = w + -6. Suppose 3*f = -m*v + 52, -2*f + f - 2*v = -24. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2824671859 to the nearest integer?\nAnswer: 1414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -0.4, 149, -8\/15, 3\/5, 11.33, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3681247 is divided by 1056.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**3 - 6*d**2 + 4*d - 5. Let g = -42 - -34. Is 11 a factor of t(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(363)*2 + -1 + (-2 + 1 + sqrt(363) + sqrt(363) - sqrt(363)) + (1*sqrt(363) + sqrt(363) + sqrt(363) + -2 + sqrt(363))*3)**2.\nAnswer: -2640*sqrt(3) + 81739","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a + 1. Let v be x(4). Let g(r) = -2*r**3 + r - r**3 + 2*r**3 + 3*r**2 - 4*r**2 + 4. Is g(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the third derivative of l**9\/126 + 33*l**6\/20 - l**5\/20 + 145*l**3\/6 - 44*l**2 + 5*l. Find the third derivative of s(k) wrt k.\nAnswer: 480*k**3 + 1188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12344.\nAnswer: 2, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 279 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -15628, -15634, -15642, -15652, -15664?\n\"Answer: -s**2 - 3*s - 15624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(-7))\/(290719\/12635 - 23) + 17\/(-51)?\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 113*c - 25 = -z + 117*c, -859 + 876 = -z - 3*c for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.17141 + 50.17141. Let q = -5 - 0. What is the second biggest value in -1, q, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2\/8)\/((-2)\/(-184)). Let r = -31 + w. What is the units digit of ((-186)\/(-8))\/((-3)\/r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 177 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 121\/4776 and -11\/36132828.\nAnswer: 72265656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/5  (b) -314.1  (c) -1.4  (d) 2  (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = 5*t + 6, 0*t - 4*m = t - 3. Calculate the remainder when -26*t*(-2)\/(-2) is divided by (36\/(-20))\/((-2)\/10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mrbritrrib. Give prob of picking 1 i, 1 b, and 1 m.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-2\/9)*r**(-8)\/r)\/(r**(3\/2)\/r*r*r*r*r\/((((r**0\/r)\/r)\/r)\/r)) assuming r is positive.\nAnswer: r**(-319\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 9269059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8 in 3\/16, 5\/3, -0.1, -5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(204) - (-6*sqrt(204)*3 - sqrt(204)))*2)\/((sqrt(588)*-4 + sqrt(588))*-6*-3).\nAnswer: -80*sqrt(17)\/189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o**2 + o. Suppose -26*l + 30*l + 4 = 0. What is k(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 192*t**2*u + 145*t**2 - u + 6634 wrt t.\nAnswer: 384*t*u + 290*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(144)*-1*3 - (-1*sqrt(144) + sqrt(144))*-3)\/(sqrt(56)\/((sqrt(7) - sqrt(21)\/sqrt(3))*3 - sqrt(7))).\nAnswer: -54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (-6*sqrt(170)\/(sqrt(40)*1) - ((sqrt(153) - sqrt(153)*-2)*4)\/((sqrt(90) + (sqrt(90) - 1*sqrt(90)) + sqrt(90) - sqrt(90))\/sqrt(10))))**2.\nAnswer: -30*sqrt(17) + 3826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*m**3 - 1205*m**2 + 4760*m - 4740.\nAnswer: 5*(m - 237)*(m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 21854490 a multiple of 294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((-2 + (sqrt(7)*-1 - sqrt(7)) + sqrt(7))**2 - (-1 + sqrt(7) + -2)**2).\nAnswer: -5 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:10 AM and 4:08 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -6181.5 and 0.11?\nAnswer: 6181.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -1 - ((-6)\/7)\/(18\/(-63))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = 2*u + 156. Let m = 174 - u. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1*1.03\nAnswer: -1.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 261*g**4*s**2 + 1301*g**3*s**2 - 2*g**3 + 2*g**2*s**2 - 8*g**2 - g*s**2 + 3*g*s + 6*s**2 - 10*s wrt g?\nAnswer: 6264*g*s**2 + 7806*s**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*c**3 + 27 - 27)*(4 - 2 + 0) in the form m*c + j*c**2 + x + g*c**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 522, 64, -394, -852?\n\"Answer: -458*j + 980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3405 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5.5 - -5.3. Let s(u) = -u**3 + 5*u**2 + 7*u - 8. Suppose 0 = 2*l - 11 - 1. Let t be s(l). Which is the closest to 1?  (a) 2\/9  (b) t  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 161028 and 3479?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 6 + -77c7?\nAnswer: -77c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.23 times -3221?\nAnswer: 7182.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes after 3:16 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*b - 33 = -3*f, 3*f + 128 - 186 = 4*b for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.305767ml to litres.\nAnswer: 0.009305767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 393*o**3 - 388*o**3 + 70*o**2 - 15*o**2 + 150*o.\nAnswer: 5*o*(o + 5)*(o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 60 and 2820?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -181 - -185. Let d be (320\/12)\/(-5)*6 + g. Which is smaller: d or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9 - 9.45. Let h = x + -0.05. Sort h, -2, -0.1 in increasing order.\nAnswer: -2, h, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -5*v - 92. Let l(z) = 2*z + 34. Let b(n) = 8*l(n) + 3*w(n). Give b(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 * -23\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16452, -16449, -16448, -16449, -16452, -16457?\nAnswer: -16464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 12559 or -2945?\nAnswer: -2945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6622 by 408.\nAnswer: -3311\/204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -887*h + 101080 = 918*h for h.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c + 5. Let q be 6 + 0 + (-1 - -1). Let h be b(q). Let i(k) = 5*k**2 + 3*k - 9. Let d(x) = x**2 + x. Let l(p) = h*i(p) + 4*d(p). Give l(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1127763 and 5049.\nAnswer: 12405393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1809  (b) -2\/27  (c) -1932\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -15 from 13058081319.\nAnswer: 13058081334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zztqzttzz. Give prob of sequence tq.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.07179425 rounded to two decimal places?\nAnswer: 4.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -358*f - 79. What is the hundreds digit of p(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/30?  (a) -17  (b) 427  (c) 4  (d) 8  (e) 0.4  (f) 2\/15\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 200*a. Let n(d) = -13*d**2 - 12*d**2 + 26*d**2 + 0*d**2. Calculate n(l(x)).\nAnswer: 40000*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 10, r: 4, o: 5}. Give prob of picking 2 r.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = 33 - 117. Let q = -32 + f. Let r(k) = -6*k**2 - k - 8. Let y(d) = -5*d**2 - 2*d - 7. Let l(b) = q*r(b) + 5*y(b). Determine l(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-4)*(-8)\/(-12)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -199a0 (base 11) to base 4\nAnswer: -12302223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (364\/39)\/((-2)\/(-3)). Suppose 0 = c*z - 12*z - 8. Let v(f) = f + 8. Let b be v(12). What is the highest common divisor of z and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(95)*-1 - sqrt(95)) + (2*(sqrt(95) - 1*sqrt(95) - sqrt(95)) - sqrt(95)))\/(-5*sqrt(5)*-2 - (sqrt(5) - ((sqrt(75)\/sqrt(3))\/sqrt(5) + sqrt(5)))).\nAnswer: -sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 29760052 to the power of 1\/4, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -421 - 0.3?\nAnswer: -421.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the third derivative of t**5\/30 - t**4\/6 - 5*t**2. Factor m(x).\nAnswer: 2*x*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**3 + 4*m**2 - 621*m - 1890. Determine n(-3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o, 4*b - 3*o - 6 - 2 = 0. What is the third derivative of 3*u**2 + 6*u**b - 4*u**2 + 2*u**4 wrt u?\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 163212, 655621, 1476302, 2625255?\n\"Answer: 164136*l**2 + l - 925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b**5\/5 - 1124*b**4\/5 + 1128*b**3\/5 + 1124*b**2\/5 - 1126*b\/5 = 0 for b.\nAnswer: -563, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 20 and 1210.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + r + 0*r - 27 = 0, 3*o - 5*r - 5 = 0. Suppose -o*l = -7 - 18. Solve -l*f - 4*b = 8, 0*b + 7 = -f + b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 5*z**2. Let j be o(1). Suppose j*v - 12 - 32 = 2*l, 3*v - 4*l = 18. Let c = 42 - 33. Calculate the smallest common multiple of c and v.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 105 = 5*u. Let g(i) = -u*i - 15*i + 3*i**2 + 29*i - 24. What are the prime factors of g(-6)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -2*t**3 - 3*t**2 + 7*t. Let z(w) = 2*w**3 + 4*w**2 - 8*w. Let x = 0 - 5. Give x*z(y) - 6*u(y).\nAnswer: 2*y**3 - 2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 443 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -184\/99 + 4222\/1881. Let h be -1 - 20\/(-19)*1. Let o = h - s. Put o, -3\/7, 0.2 in ascending order.\nAnswer: -3\/7, o, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(82\/(-6)))\/((-28)\/(-8)*129\/(-602))?\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = -4*b + 2*n, -1 = 5*b - 4*n - 15 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 11819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 265, -3, -17732 in increasing order.\nAnswer: -17732, -3, 265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 227, -544, -5 in increasing order.\nAnswer: -544, -5, 227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**3 - 96*i**2 + 888*i + 5826. Give d(-104).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2, 0, 2 in descending order.\nAnswer: 2, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 212 by 403663.\nAnswer: 212\/403663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o**4 - 46*o**3 + 225*o**2 + 304*o - 974. Let n(a) = -3*a**4 - 88*a**3 + 450*a**2 + 612*a - 1947. Let f(v) = -6*n(v) + 13*y(v). Factor f(s).\nAnswer: 5*(s - 7)**2*(s - 2)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-560082)\/68*(-6)\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(2\/47)*c**(-13))**18\/(((c*c\/(c*c\/(c\/((c**5*c)\/c))))\/c**(-8))\/(c**4\/((c\/(c*c\/(c\/(c*c*c**(-7)*c*c))))\/c*c*c))) assuming c is positive.\nAnswer: c**(-11150\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qeqecqqqqqqqqqeqqqqq. Give prob of sequence qeeq.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(-2) - 20\/(-8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p + p + 18. Let d = -3 - p. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the first derivative of o**3\/3 - 9*o**2\/2 + 7*o + 249. Calculate c(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2530 - -2530. What is the second biggest value in -0.3, z, 6\/13?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 8*y. Let r(u) = -9*u. Give 6*g(n) + 5*r(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -2197 < -1877?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 2*g**2 + 4*g + 2. Let u be s(-2). Let v be ((-36)\/(-24))\/((-12)\/8*-1). Let d(x) = 2 + 41*x**2 - v - 42*x**2. Calculate d(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 15) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 26*j**3\/3 + 1240*j**2 + 11750*j + 86500\/3.\nAnswer: 2*(j + 5)**2*(13*j + 1730)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -102*z**3 - 8*z**2 + 10*z - 7. Let j(d) = -d**3 + d**2 - 2*d + 1. Determine b(p) + 5*j(p).\nAnswer: -107*p**3 - 3*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1048 + -948. What is the least common multiple of 20 and t?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 0 = -3*m - 21, 5*i = -3*m + 35. Let o(w) be the second derivative of -1\/4*w**4 + 21*w + 0 + m*w**3 + 0*w**2. Let j(g) = -g. Determine o(j(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-208)\/39*4*(-9)\/(-48)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -6*z + 1. What is the remainder when o(-3) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * -23020904\nAnswer: -4604180.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 150 - 146. Suppose -k*b - 2*y - 51 = -5*y, b + 4*y = -8. Let g(t) = t**2 + 13*t + 15. Calculate g(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -151 less than -622896769303?\nAnswer: -622896769152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 499481*h**3 - 3*h**2 - 9094808 wrt h.\nAnswer: 1498443*h**2 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 296644 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z - 86*p + 2 = -84*p, 3 = 4*z + 3*p for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 9973175 to the power of 1\/2, to the nearest integer?\nAnswer: 3158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 407 and 1496?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*h - 4*n = -13*h + 7, 0 = -h + 3*n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1258, -1307, -1376, -1465, -1574, -1703?\n\"Answer: -10*f**2 - 19*f - 1229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -294 + 749. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11284475 a multiple of 1675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the second derivative of -13*n**3\/6 + 9*n**2\/2 + 14*n. What is the tens digit of h(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 1 = 3*h + g, 3*h - 13 = 5*g. Let q(p) be the first derivative of 1\/12*p**4 - 1\/3*p**3 + 0*p**2 + 4\/3*p + h. Factor q(v).\nAnswer: (v - 2)**2*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (12\/(-3) - 18\/4) + 78\/52. Let i(p) = 3*p + 29. Let z = -28 - -30. Let u(o) = o + 10. Determine h*u(k) + z*i(k).\nAnswer: -k - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 16130*u**2*z**4 - u**2 + 5635*u*z wrt z.\nAnswer: 193560*u**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 5*t**3 + 18*t**2 + 31*t + 19. What are the prime factors of l(14)?\nAnswer: 31, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 57 = -5*q, q + 55 = -2*a - 2*q. Let x be 4\/(-26) + 74\/a. Is 12 a factor of (-40)\/(-2) - (x + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1713, 1\/2 in descending order.\nAnswer: 5, 1\/2, -1713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/(-4)*6 - 0. Suppose -l*q + 107 = -112. Let t = q + -6. Is t a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -5*(-5)\/(-25) - -17. Find the third derivative of f*q**2 - 42*q**3 - 8 + 10 - 2 - 8*q**3 wrt q.\nAnswer: -300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*d + 2*d - 5*d)*(-2*d + 0*d + 3*d) + 2*d**2 - 2*d**2 - 2*d**2 + (-d + 0*d + 2*d)*(0*d + 4*d - 5*d) + 2*d**2 + 2*d**2 - 2*d**2 + d**2 + 0*d**2 + 2*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the second derivative of -z**5\/20 + z**4\/6 + 5*z**3\/6 - 2*z**2 + 15*z. Let u be (-2)\/(2\/(-4) + 0). Suppose 0*k + u*k - 12 = 0. Determine o(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 0 + 7 - (-23 + -37 + 57)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 3 = 3. Let v(g) = -2*g**2 + 2*g - 2. Let y be v(q). Let n = 12 + y. Calculate the remainder when 16 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-3))**(-1\/36)*(p**(-1\/6)*p)**(-29) assuming p is positive.\nAnswer: p**(-289\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1410777 and 18?\nAnswer: 2821554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-1)\/((-1)\/218) - (9 + -7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, n: 8, p: 4}. Give prob of picking 1 n and 2 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -821 (base 14) in base 12?\nAnswer: -b11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/3*(-20)\/(-120).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4 - -3)*3\/3*-43. Let s = j - -125. Calculate the remainder when s is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*h**2 - h**3 - 2*h**2 + (-h**2 - h**3 + h**2)*(1 + 1 - 1) + 14*h**3 + 290 - 290.\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -351 + 8075\/23. Suppose 2*u + 12 = 4*q, q - 2*q - 4 = 3*u. Sort 0, 4, q, f in descending order.\nAnswer: 4, q, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -82 - -87. Suppose w*u - x - 120 = -0*x, 5*u + x = 120. Find the third derivative of 2*v**5 + u*v**2 - 27*v**6 - 2*v**5 + 16*v**6 wrt v.\nAnswer: -1320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(4\/9)\/r)\/r**(-6)*(r**(-3))**(-6\/19))**(-4\/7) assuming r is positive.\nAnswer: r**(-4372\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1037.9 - -1037.900033798. What is d rounded to 7 decimal places?\nAnswer: 0.0000338","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2*7*4\/(-8). List the prime factors of (r\/(-2))\/((-2)\/(-4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {r: 11, k: 3}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-2\/21)*r*r)\/r)**(-8\/7)*((r**(-1\/25)*r*r)\/r)\/(r**(2\/15)*r) assuming r is positive.\nAnswer: r**(-1479\/1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 71028999 is divided by 1563?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v - 777 = -r - 1564 + 763, 3 + 16 = -2*r - 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 419*s = 413*s - 600. Let k be 2\/4 + 702\/4. Let l = s + k. What is the greatest common divisor of l and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 184 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 29200, 29199, 29198, 29197?\n\"Answer: -l + 29201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 4, -468, -9 in descending order.\nAnswer: 4, 0, -9, -468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -2*b**4 + 4*b**3 - 10*b. Let o(u) = -4*u**4 + 7*u**3 - 21*u. Let h(k) = 10*m(k) - 4*o(k). What is p in h(p) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -16694 - -28233. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4203008 is divided by 135580?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 30.2 - 29. Let w = x + -1.15. What is the biggest value in w, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ujuuj. Give prob of picking 2 j and 1 u.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c*c**49\/c*c*c*c\/((c**23\/c)\/c*c))\/(c*c**24*c**(-1\/8)*c))**(-7\/5) assuming c is positive.\nAnswer: c**(-287\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 23311 - -11?\nAnswer: 23322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0\/(-1))\/(2 - 3). Let w be a\/((-1)\/1) + -40. Let c be (2 - 0)*w\/1. Round c to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 54426 and 16638.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 2*k**2 - 10*k - 102. Let o be m(-26). Let x = o - 302. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 506279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 132965 + -132964.951. Let w = 6 - 4. Is w >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -16, -25, -54, -109, -196, -321, -490?\n\"Answer: -x**3 - 4*x**2 + 10*x - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 446763.\nAnswer: 3, 148921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -i + 68812548 - 68812548.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qkmmkkmm. Give prob of picking 4 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 52756*d**3 - 105463*d**3 + 52752*d**3.\nAnswer: 45*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1253 - 1015 = 2*p - 29*p. Solve -p = -47*n + 19*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 3*p**2 + 5*p - 1. Let l = 7 + -12. Let o(q) = q**2 + 2*q. Let m(c) = l*o(c) + 2*z(c). Differentiate m(r) wrt r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r**2\/3 + 12148*r + 36456 = 0 for r.\nAnswer: -3, 9114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8419371, -8419377, -8419383, -8419389, -8419395, -8419401?\nAnswer: -8419407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -209*d - 9526 = -28754 for d.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2346?\nAnswer: 2, 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 435 + -430. Suppose -t*h - 6768 = -2*i, -i = -5*h + 6*h - 3391. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 2096*p - 20989. What is l(10)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 + -17. Let p be 3\/4*(-14 - u). Let s = 2 - p. Let x(k) = -4*k. Calculate x(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -21 - -30. Suppose p = -2*k - 7, -k = 3*p + 2*k + c. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r**4 + 3285*r**3 - 532610*r**2 - 1620900*r - 1085000 = 0. What is r?\nAnswer: -2, -1, 310, 350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = 10*x - 16*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -0*h + 10. Let m = h + 9. Let c = 25 - m. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6)\/(-33) + (-1571)\/(-11). Calculate the greatest common factor of 13 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 6) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j**2 + 31. Let h = 27 + -11. Suppose p = -p + h. What is the remainder when u(0) is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 102*m - 211*m - 4870 = 243*m + 622*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes after 9:17 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*r**5 - 74125*r**4 + 93076905*r**3 - 34841749415*r**2 + 57873265080*r - 23124518460 = 0. What is r?\nAnswer: 2\/3, 1, 843, 3254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d + 3*l + 46 = -5*d, 2*d + 14 = l. Calculate the remainder when 87 is divided by -18*(0 - (-20)\/d).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1495322.\nAnswer: 2, 23, 32507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*x - x + 0*x)*(71 - 71 - 34*x)*(-2*x**2 - 6*x**2 + x**2) to the form w*x**4 + q*x + c*x**3 + p*x**2 + r and give w.\nAnswer: -1190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1 + -8)*(-1)\/11 + -1. Sort -0.3, -1, 2, m in descending order.\nAnswer: 2, -0.3, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -108687*l**4 - 3*l**3 - 193550*l**2 - 1 wrt l?\nAnswer: -2608488*l - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b\/b**1*(b**(-7)\/b)\/b*b**(-2\/33)*b**(-8\/7) assuming b is positive.\nAnswer: b**(-2357\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 1\/7306?\nAnswer: 1\/7306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 208*g*r**3 + 848230*g*t**2 - 54*r**3*t**2 - 1505913*r*t**2 wrt g?\nAnswer: 208*r**3 + 848230*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 9}. What is prob of picking 2 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the first derivative of 2*x**3\/21 + 11*x**2\/7 + 238. Factor s(f).\nAnswer: 2*f*(f + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3032345?\nAnswer: 5, 283, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/36*((-1770)\/(-59))\/30?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 50*(-1 - (-75)\/6) is divided by (-368)\/(-230)*(5 - 245\/(-14)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*-2*sqrt(14))\/(sqrt(847) - (sqrt(847)*-1 - sqrt(847))) + 2)*-5.\nAnswer: -10 + 10*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + ((-1 + sqrt(272))**2 - sqrt(68)*4))*-1*3.\nAnswer: -807 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*l - 24 = 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 71\/756820 and 23\/1738?\nAnswer: 8325020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -875935, -1752023, -2628097, -3504151, -4380179?\nAnswer: -5256175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*n - 3*n - n)*(-4*n - 10*n - n) + (4 + n - 4)*(128*n - 133*n - 56*n).\nAnswer: -76*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -16576 + 16796. What is the lowest common multiple of a and 682?\nAnswer: 6820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 95772 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4055774 in 3, -2\/3, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.368 + -0.968. Let l = 671.06 - 671. Sort l, 4, r.\nAnswer: r, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 14\/5 + -123\/35. Let s = 1389 + -15277\/11. Sort 0.1, s, -2, d in descending order.\nAnswer: s, 0.1, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that -l**5\/7 - 629*l**4 - 4709804*l**3\/7 + 302623712*l**2\/7 - 1413838080*l\/7 + 159418368 = 0.\nAnswer: -2232, 1, 4, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Are 85632095 and 85632095 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 minutes after 1:31 PM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 12903\/(-2)*5036\/(-3777)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -11.7 and -485?\nAnswer: 473.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 215.8698nm?\nAnswer: 0.0000002158698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 53509206 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -637, -2471, -5511, -9757, -15209, -21867?\nAnswer: -29731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*l**5 + 16*l**2 - 4 + 4 - 13*l**4 + 0*l**5 wrt l.\nAnswer: -120*l**2 - 312*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by -3477?\nAnswer: 1\/1159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 836, -43, -922, -1801, -2680, -3559?\nAnswer: -4438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 2*j. Let z be -2 - ((-4)\/(-2) - 14). Let r = -7 + z. Let l(s) = -r*s + s + s - s. Calculate c(l(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.01 and -199?\nAnswer: 199.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**(-1\/3)*a\/a**(-2\/19))\/(a\/a**(5\/6)*a*a*a*a)**(-3\/13))**44 assuming a is positive.\nAnswer: a**(89122\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = -2*v. Let a(j) = -5 + 0*j + 10 - 5*j + 4*j. What are the prime factors of a(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**2 + 9*b + 4. Let z be i(9). Solve -4*g + g + 2*o = 0, 4 = -4*g + z*o for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 42\/4 + ((-3)\/15)\/(66\/495)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p**2 - 44*p - 54. What is m(46)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 95253727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 45, 313, 971, 2175, 4081?\n\"Answer: 26*b**3 + 39*b**2 - 31*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 83 a factor of 16742843?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Find t such that 5*t**2 - 45*t - 110 = 0.\nAnswer: -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-1)\/1)\/((-2)\/52). Suppose -4*n = 2*t - r + 2, -5*t + n = -104. Suppose 1400 = 37*o + 33*o. Calculate the least common multiple of o and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 96 >= -909990?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 14828 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = 1 + 19. Let t(b) = -b**3 - 2*b**2 + 5*b - 3. Let d be t(v). Let h be (-2)\/6 - 15\/d. Let x(i) = 2*i**3 + 4*i**2 + 2*i. Give x(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.4 - 15.6. Let v = n + 15.946. Round v to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3456 = 4*w + 2*d, -d = w - 548 + 1411. Find the common denominator of 95\/16 and -3 - (w\/390 - 0).\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4934 greater than or equal to 4933?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 63 + 10 = 5*c, 55 = 3*c - 5*z. What is the smallest common multiple of 228 and c?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 928 is divided by 81.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + -15 + 21 + -58 - (-15 - -3)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -232\/9 - -1313\/45. Determine f, given that 17\/5*f**3 - x*f + f**4 - 6\/5 + 1\/5*f**2 = 0.\nAnswer: -3, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 10*n = 6*n - 32, -3*s = -4*n - 2. Let k(h) = h**2 + 8*h - 5. What is k(s)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(70)\/((sqrt(100)\/sqrt(2))\/sqrt(5))*-5)**2.\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, c: 10, u: 6}. What is prob of picking 2 c?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1459239400 to the power of 1\/2, to the nearest integer?\nAnswer: 38200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**3 + 32*r**2 - 100*r - 1123. What is b(-34)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 1715*s - 397892. Give z(232).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 3.706698ml?\nAnswer: 0.003706698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 + 807365.07199?\nAnswer: 807480.07199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 728*t + 1295. List the prime factors of u(13).\nAnswer: 7, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2528 and 474?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 3*w + 31 = b, 4*b = -4*w + 40. Calculate the remainder when 228\/9 + 4\/6 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 + 0.1. Let j be 23\/(-46)*(-1 + 19). Let u be ((-8)\/3)\/(j\/54). Which is smaller: w or u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 21413 and 35.\nAnswer: 107065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 671669.\nAnswer: 19, 23, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-19)\/10 + 938\/(-1340)*8\/(-14)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 0.0180672 milligrams?\nAnswer: 18.0672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*o + 123 + 31. Suppose o*s = -105 + 1043. List the prime factors of s.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -62*p - 156. Calculate the least common multiple of 216 and f(-6).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 18 and 252?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 7, 13 in descending order.\nAnswer: 13, 7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 0 + 0 - 1. Let n(c) = -2*c + 4. Let s(o) = n(o) + 3*u(o). Calculate s(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 100531*v**3 + 19*v**2 - 1177*v.\nAnswer: 603186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 - 0. Let f(m) be the first derivative of -4000*m**2 - 3. Let l be f(x). Round l to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**3 + 2*y**2 + 12*y + 15. Let z be n(-4). Suppose 0 = 3*w - 4*a - 66, 0 = 4*w - 0*a + 3*a - z. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 * 1.59\nAnswer: -7.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3288 - -3217. Let o = 206 + -129. Let y = o + t. Calculate the highest common divisor of 48 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6 and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 1, -118, 3 in decreasing order.\nAnswer: 3, 1, -2, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kpwmkm. Give prob of picking 1 k and 2 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -11 - 211*y**3 + 10*y**2 - 12*y + 210*y**3 + 4*y**2. Let h be a(13). Solve 0 = 3*s - 2*p + 3, -3*p = -4*s - p - h for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*((-22)\/(-22))\/(1\/(-7)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the second derivative of f**3\/6 + f. Let l(n) = -3*n**2. Determine l(x(m)).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -8 in -197, -0.5, 4, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pfpzzaqzfaazzzpfzaz. Give prob of picking 1 a and 1 f.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -20*l + 19*l + 2*b + 338975, 5*l - 1694865 = 5*b. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r**2 + 32*r - 72. Let y be n(29). Calculate the highest common divisor of y and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 0 - 2)*(5*g - g**5 - 5*g) - 3*g**5 + 696*g - 696*g + 61*g**2.\nAnswer: -5*g**5 + 61*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -428 + 6*u + 815 - u - 387.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1404\/2106)\/(44\/6*(-242)\/3). Is u < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -1, 5, -460 in descending order.\nAnswer: 5, 1, -1, -460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7.6 + 3.6. Let r = 0.6 + 2.4. Let m = -2 + 1.9. What is the nearest to m in r, 2\/3, h?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 3*z - 540 = 2*z, -2*s + 270 = z. Suppose 347*r = 356*r - s. Calculate the remainder when 42 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2455945 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14 - (-4 - -14))*-1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3502 - 3496. Solve -3*r + v = -3*x, 3*r - 8*x + 3*x - 2 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -9079 and -9080 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 14) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 79, -67584, 0 in ascending order.\nAnswer: -67584, -4, 0, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 297815 is divided by 36325?\nAnswer: 7215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*o + 12*x + 156, 65 = -275*o + 270*o - 5*x for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -2\/11  (b) 2  (c) 0  (d) 1\/125518  (e) -4  (f) -1\/4  (g) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k**2 - 6*k - 5. Let q be r(7). Suppose l - 2 = -0*l - q*v, -24 = -5*l - 3*v. Suppose -80 = -4*m - x, -l*x = m - 2*x - 35. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3727*r**2 - 5863897 + 5863897 in the form d*r**2 + o*r + y and give d.\nAnswer: 3727","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2 + 5. Calculate the common denominator of 69\/70 and ((-81)\/4)\/b*(-8)\/(-20).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*x**4 + 3*x**4 - 4*x**4 + (4*x**3 - 5*x**3 - x**3)*(-2*x + 0*x + 0*x) + (-3*x**2 + 3*x**2 - 2*x**2)*(x**2 + 2*x**2 - 5*x**2) + 16*x - 16*x + 78*x**4.\nAnswer: 92*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 + -2. List the prime factors of 54\/6 + n*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -411 - 223a?\nAnswer: -2650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 21210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 40\/483 and 109\/4779768.\nAnswer: 4779768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(3 + sqrt(832) + 4)*-2)**2 - (3 + (sqrt(832)*-1*-4 + sqrt(832))**2 + -2).\nAnswer: 11200*sqrt(13) + 67299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -306 - -314. Suppose -r + 21 = -c*r. What is the third biggest value in -3\/5, 4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-19)\/r)\/(r**(3\/4)\/r)*((r*r**(6\/7)\/r)\/r)\/((r**(2\/51)*r)\/r*r))**(-12\/7) assuming r is positive.\nAnswer: r**(29891\/833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (3*1*sqrt(1008) - (-1 + 1*sqrt(1008)) - ((sqrt(1008) - sqrt(1008)*-2) + -2)*4)**2.\nAnswer: -2160*sqrt(7) + 100882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*q - 10*q - 4*q)*(4*q - 4*q + q**2) + (q - 4 + 4)*(2*q - 2*q - q**2).\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 17*h - 26. Let k be m(-5). Let p = k + 111. Factor p*y + 0 - 1\/3*y**2.\nAnswer: -y**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -35427, -34838, -34249, -33660, -33071, -32482?\n\"Answer: 589*b - 36016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c. Let h(d) be the third derivative of d**6\/360 + d**3\/6 - 3*d**2. Let v(b) be the first derivative of h(b). Calculate a(v(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 154556*n**2 + 0 - 4*n + 2 - 154353*n**2 + 0*n to r*n + t + w*n**2 and give w.\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + 4 + -60 + 19 + 50?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 51\/136 + 54\/(-16). Let k = 77 - 75. Suppose 4*m = 4*s, 0*s + 6 = -k*m - s. Put m, b, -5 in decreasing order.\nAnswer: m, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.6 + -0.6. Let r = -41\/69 - -6\/23. Which is the second biggest value?  (a) y  (b) r  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from abxjetjeeabetbtx. Give prob of picking 1 e and 1 x.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a + 2*k - 1, a = k - 4*k. Suppose 5*g - 3*f - 31 = 0, -8 = g - a*g - f. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/(x**(3\/7)\/x))**23)**(22\/7) assuming x is positive.\nAnswer: x**(5566\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 (base 15) in base 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 3*u**3 + u**2 - 9*u + 7. Let y(s) = s**3 - s**2 + 1. Let g(t) = c(t) - 2*y(t). Solve g(j) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 + -1011543?\nAnswer: -1011544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes before 2:24 PM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -3262 (base 15) in base 10?\nAnswer: -10667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 121242?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1360589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6866 is divided by 213.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 56234220 less than 56234252?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 17719*g - 8827.\nAnswer: 17719","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**3 + 174*g**2 + 2671*g + 295. What is x(-157)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 222 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2508187368.\nAnswer: 2, 3, 503, 207769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 22*d**2 - 10*d - 13. Is b(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7492 + 105 + 2*g + g.\nAnswer: 3*g - 7387","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 405 and 225.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the third derivative of -7*t**5\/60 - t**4\/24 - 2*t**2. Find the second derivative of d(s) wrt s.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4 + 4.5. Let h be (2 - (-34)\/(-18))*-2641. Let m = h - -293. What is the third smallest value in l, -0.5, m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 2*q**2 + 3*q. Let h(x) = -153*x**2 + 9*x. Let p(s) = h(s) - k(s). What is the second derivative of p(f) wrt f?\nAnswer: -310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5 + -2. Suppose 0 = d - n - 2, 7 = -3*s - d. Let c(q) = -3*q + 6. Let p(g) = -4*g + 7. Let r(m) = 5*c(m) - 4*p(m). Calculate r(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -124275 (base 11) to base 10.\nAnswer: -195981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 17797 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/50 of a millennium?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 364 - 363. What is the second derivative of 12*k**2 - 15*k**2 + 3*k**2 + 97*k**3 - o - 61*k wrt k?\nAnswer: 582*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -88*a**2 + 2*a + 8*a**3 + 88*a**2 + 0*a**3 as q*a + u*a**3 + b + s*a**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.003120323121 to seven decimal places.\nAnswer: -0.0031203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) -0.2  (b) 0.07  (c) -4\/5  (d) 134\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5 and 63.\nAnswer: 31.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 159, 327, 507, 699, 903?\n\"Answer: 6*v**2 + 150*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = -5*c + 5*h, -4*h - 21 = -2*c + 3. Let r(n) = -4*n + c*n - 1 + 2*n - n**2. Let i(t) = 2*t**2 + 6 + 0*t**2 + 5*t**2 - 2*t**3. Give i(p) + 5*r(p).\nAnswer: -2*p**3 + 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 2*k = -2*f + 4, 4*f - 28 = -4*k. Which is the biggest value?  (a) f  (b) 0.3  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 251 is divided by 238?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, u: 1, w: 2}. Give prob of picking 1 m and 1 u.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 538, 643, 760, 895, 1054, 1243, 1468, 1735?\nAnswer: 2050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**3 + 16*f**2 + 15*f + 5. Calculate k(17).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/3  (b) 0.168  (c) 5  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 1 = 0, -4*p - 2*m = -m - 383. Is 21\/(-2)*p\/(-18) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 890 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 286*j**2 + 8*j - 12. Let x(w) = -1715*w**2 - 50*w + 75. Let k(l) = 25*i(l) + 4*x(l). Let p(n) = -2*n. Give k(p(s)).\nAnswer: 1160*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 208 or 206?\nAnswer: 206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 1 + 3)*((-2*l - 3 + 3)*(4 - 2 - 4) + (4 - 4 - 1)*(4*l - l - 2*l) + (37*l - 12*l + 4*l)*(2 + 4 - 4))*(-10 + 1 + 5).\nAnswer: 244*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 40\/24813 and 16\/6327315.\nAnswer: 6327315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/7191 or -1?\nAnswer: -2\/7191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.05940997 + 280.93747003. Let f = x + -281. Round f to four decimal places.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 2*g**2. Let u(f) be the first derivative of -1\/3*f**3 + 0*f + 0*f**2 - 5. Give o(u(h)).\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((45675\/140)\/(-87)*(-36)\/(-10))\/(2\/8)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 - (-1 + (-16 - -13)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4722 + -4708. What is the least common multiple of q and 19?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.657522261 rounded to 3 decimal places?\nAnswer: -4.658","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 265 divide 56673165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 9*z**3 - 4*z + 4. Let q(n) = n**3 + n - 1. Give -b(s) - 4*q(s).\nAnswer: -13*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h - 3. Let k be m(-6). Suppose s - 13 = -3*z - s, 5*z - k*s = 9. What is the second derivative of 3*u**3 + u**3 + 3*u**3 - u - 5*u**z wrt u?\nAnswer: 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2913 divide 153893790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 17092 by -1.\nAnswer: -17092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -r + 22*r - 3*r.\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 851649.\nAnswer: 3, 17, 16699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n + 2*n + 5*p, -n - 21 = 2*p. Let i = 35 + n. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 7 + -6 + 2*4. Let t be (h\/(-6))\/((-2)\/(-4)). Does 12 divide 15 + (1*-6 - t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10351606 divided by -304459?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 17*i**3 - 11*i. Let u(w) = -574 + 574 + 9*w**3 - 6*w. What is 4*m(l) - 7*u(l)?\nAnswer: 5*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10465.08042 - 0.08042. Which is bigger: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 11 = 2. Calculate the lowest common multiple of (-12)\/54 + 56\/j and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hx when two letters picked without replacement from {b: 5, n: 1, z: 3, s: 2, h: 1, x: 1}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d**3 - 27*d**2 + 28*d - 50. Let f be b(26). Solve o + f*x + 3 = 0, 4*x + 1 = 2*o + x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0002533516 to 6 decimal places.\nAnswer: -0.000253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2665)\/(-30) - 39) + (-230)\/5?\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 7 - 6*22\/24. Solve -g*n - 1\/2*n**2 - 1 = 0 for n.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 9?  (a) 5  (b) -1\/3  (c) 1\/3  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 7, a: 5}. Give prob of picking 1 a and 3 f.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*l**3 + 59677*l**2 + 2*l - 265444.\nAnswer: 9*l**2 + 119354*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 76248 is divided by 193?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/4, 2, -5, -104, -32, -0.21 in ascending order.\nAnswer: -104, -32, -5, -1\/4, -0.21, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -770740 rounded to the nearest one thousand?\nAnswer: -771000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 2, 8\/55 in descending order.\nAnswer: 3, 2, 8\/55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3 + (-18)\/45*-5345?\nAnswer: 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 40227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6\/(-8) + (-240)\/(-64). Suppose 0*z + 3*y + 87 = a*z, y = 5*z - 129. Suppose 0*o - 4*o + 56 = 0. Calculate the remainder when z is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 7  (b) -0.14  (c) 1\/2  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/5, 0.5, 184, 5\/4, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -24 and 45\/167?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4)\/3*(-51768)\/(-336). Let w = g - -205. Are 2 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 101*c - 3274. What is the hundreds digit of d(50)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*s + 3*s**4 - 5*s**4 + s**4 + s**2 - s**2 - s**4 + (4*s**2 + 3*s**2 - 5*s**2)*(-2*s - s**2 + 2*s) - 2*s**4 + 0 + 0.\nAnswer: -6*s**4 + 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 70634 is divided by 163.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 2*f**2 - 273*f - 6252. Determine y(-20).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -3 from -45101.\nAnswer: -45098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -14*a**6 - 25*a**3 + 25*a**3 + 17*a**2 + 46*a**6 wrt a.\nAnswer: 3840*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*d - 132 = 8. Let i(z) = 4*z**2 - 15*z + 5. Let c(h) = -2*h**2 + 7*h - 2. Let a = 23 - 14. What is a*c(w) + d*i(w)?\nAnswer: -2*w**2 + 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, i: 2, m: 1, o: 1, b: 1, g: 1}. Give prob of sequence bo.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8 - (-2 - (-2 - -1))) + 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = o - 2*a, o + 0*a = -a - 11. Put 0, 5, o in descending order.\nAnswer: 5, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = 3*i - 41292, 8*i + 2*m = 3*i + 68820. Let t = 440361\/32 - i. What is the common denominator of t and 31\/16?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -29 + 51 + 62 + 2*x. Let b be h(0). What is the highest common factor of b and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*v**5 - v**5 - v**5 + (10*v**3 + 4*v**4 - 10*v**3)*(-5*v + 4*v + 3*v) + 17*v**5 - 6*v**5 + 15*v**5.\nAnswer: 37*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 4, 14, -16.\nAnswer: -16, -1, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -56227567*v**3 + 251515468?\nAnswer: -168682701*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.22 + -0.23. Let l = 7 + -4. Let x = 3.1 - l. Which is smaller: s or x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.3 and 0.42352472.\nAnswer: 0.127057416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 10*v**2. Let g(q) = -209*q**2 - 77. Let j(l) = -8*l**2 - 3. Let p(b) = 3*g(b) - 77*j(b). Give p(o(d)).\nAnswer: -1100*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -3*m - 8. Let g(v) = -7*v**2 + 4*v + 1. Let b(w) = 13*w**2 - 7*w - 2. Let c(h) = 6*b(h) + 11*g(h). Is c(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 3\/2, 0.4, -1, 1\/665?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -10.03 - 108914?\nAnswer: -108924.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -83845\/3 at least as big as -27949?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 4 = 3*z - 4*n, 3*z - 3*n = 15. Let r be (-270)\/(-36)*z\/6. Let v(d) = 3*d - 5. Let g be v(3). Which is greater: r or g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1109\/15 - 223\/3. Put q, 2, -0.0801 in increasing order.\nAnswer: q, -0.0801, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 310926 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*h = -12*h - 7*z - 31, 2*h - 3*z - 13 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 44 = 32. Let q be 7 - (2 + -2) - 18\/s. What is the first derivative of 286*d**q + 0*d + 23 - 272*d**4 + 0*d wrt d?\nAnswer: 56*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i - 5*s = -28, 0 = -s + 334 - 329 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l**3 - 9*l**2 + 7. What is the lowest common multiple of 216 and p(9)?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1574623, 0, 9, 2 in decreasing order.\nAnswer: 9, 2, 0, -1574623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 226*f**2 + 5*f - 4. Let w be j(3). Is (w\/15)\/(3\/9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -38.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2506*o + 2*g - 124 = -2501*o, -2*o = 2*g + 58 for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -12948, -14158, -15372, -16590, -17812, -19038, -20268?\n\"Answer: -2*h**2 - 1204*h - 11742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 256 and 2904.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 6*m + 15. Calculate the remainder when 99 is divided by h(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-308)\/154*(-2)\/4*-1*-18?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -333 - -1000?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}