diff --git "a/data/dm_maths/full_data_1/1290_11255.jsonl" "b/data/dm_maths/full_data_1/1290_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1290_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 4055245 to the power of 1\/2, to the nearest integer?\nAnswer: 2014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.37 - 0.03. Suppose 6*m + 3*m + 45 = 0. Sort -4, m, p.\nAnswer: m, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8059531 to the power of 1\/3, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.7 to 0 dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -195 - -203. Suppose -10*i - g = -12*i. Let u = 80 + -55. Solve b + u = -i*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 16) in base 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4180 and 308.\nAnswer: 29260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-2))\/(1\/(-168)). Let s = -48 + w. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51128 divided by -8.\nAnswer: 6391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 2 (c) -0.5 (d) 367 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a + 2*a - a + 4*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -1. Let j be 0\/(-1 + 2 - 2). What is the nearest to a in 5, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 2*y + 0*y)*(-4 + 4 + 2) + (71*y - 34*y - 17*y)*(0 + 0 - 3).\nAnswer: -54*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/5 + 188*r**2\/5 + 2872*r\/5 - 6512\/5.\nAnswer: 2*(r - 2)*(r + 22)*(r + 74)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*l**5 - 34*l**4 + 1941*l**2 wrt l.\nAnswer: 480*l**2 - 816*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 541 = 3785. What are the prime factors of x?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 2*h + 3 - 14 = 0, -3*x + h = -18 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10c (base 16) to base 4\nAnswer: 10030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 - 24*d + 33. Determine g(13).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and -23.43?\nAnswer: 23.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14628.96 - 14629. What is the nearest to -1\/4 in 0.5, z, 5, -0.25?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45462?\nAnswer: 2, 3, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f + 13. Let w(b) = -1. What is -78*w(m) - 6*z(m)?\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/(((c**8\/c)\/c)\/c))*c*c*c*c*c\/c**(-8)*(c\/c**(-5)*c)\/((((c*c*c\/(c**2*c))\/c*c*c)\/c)\/c)*((c*c*c**(1\/3)*c)**40)**(5\/9) assuming c is positive.\nAnswer: c**(2702\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33348 and 14784.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**7\/2100 + o**6\/1800 - 2*o**4\/3 - 2*o. Let j(b) be the third derivative of n(b). Factor j(y).\nAnswer: -2*y*(3*y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*h + 2. Suppose 7*b - h*b - 70 = 0. Suppose z = 2*z - b. Calculate the lowest common multiple of z and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n + 17. Let g(s) = s - 8. Let j(z) = 15*g(z) + 6*p(z). Calculate the remainder when 16 is divided by j(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4 + 34036*y**3 - 144806162*y**2.\nAnswer: -2*y**2*(y - 8509)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -929*m - 1298 = 9017 + 11981 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 2*g**3 - 10 - 7*g - 2*g**2 + 14 to k*g**3 + c*g**2 + r + n*g and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 255 + -257.07. Let j = 3.07 + x. Is -62\/5 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/30*2\/(-6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -2*n - 0*n + 48, 4*n = -3*j + 46. Suppose -3*y + 5 = -j. Let t be 2\/y - 223\/(-5). Solve 0 = 5*h - 3*d - 2*d + t, h - 15 = -5*d for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003765838 rounded to five decimal places?\nAnswer: -0.00377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/17184 and 87\/59428.\nAnswer: 1426272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75325\/22044 - -2\/5511. Calculate the common denominator of (-3)\/4*366\/(-45) and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.07, 0.01167, 0.3, -9 in descending order.\nAnswer: 0.3, 0.07, 0.01167, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i + 10. Let y be k(3). Solve t + 4*f = -0*t - 4, y*t = -4*f - 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5 + (-2*sqrt(175))**2 + 0.\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 8*d**2 + 4*d - 20. Let m be c(-7). Is m greater than 31\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -3*g - 3, 3*w + 4*g = -0*w - 8. Let p = 6 + w. Is 1194\/p - (-6)\/10 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -0.51\nAnswer: 0.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - c + 22, -28 = -5*y + c - 10. Solve 4 + y = -4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -79, -159, -247, -349, -471, -619, -799, -1017?\n\"Answer: -k**3 + 2*k**2 - 79*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 130*r + 7007. Calculate o(171).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/36*3 - 1911597\/18. Round q to the nearest 1000.\nAnswer: -106000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 - 3 - -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 12:07 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-6)\/(-33) + (22\/22 - 367\/(-22)).\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: -0.03*2399\nAnswer: -71.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -351 - 25 - j + 5*j - 3*j.\nAnswer: j - 376","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/14 + (-24)\/42)\/2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4921.982 weeks?\nAnswer: 2976814713.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**8\/4 - 7*a**7\/6 + a**5\/20 + 62*a**4\/3 - a**3\/3 + a**2\/2 - 2*a + 2274. Find the third derivative of j(b) wrt b.\nAnswer: 1680*b**3 - 2940*b**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u**2 + u + 15*u**4 - u**3 + 103 - 38*u**4 + 25*u**4 in the form v*u**2 + h*u**3 + b + a*u + q*u**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -55568 divided by 6946?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2208, -2209, -2210?\n\"Answer: -m - 2207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/(-6))\/(946\/(-215)) + 14\/21.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7 + 0.2. Let k = 0.8 + -0.3. Let r = -0.2407 - 0.0593. Which is the second biggest value? (a) k (b) f (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6781 * 3.\nAnswer: -20343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -29015 equal to -29016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*6*(-3)\/6. What is the derivative of -q*u**3 + 4*u**3 - 2*u**4 + 5*u**3 + 6 wrt u?\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 13*x - 229. Let u be a(18). Let b(l) = 6*l - 1. Let y(i) = 4*i - 1. Give u*b(d) - 7*y(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 28935, 62513, 96091, 129669, 163247?\n\"Answer: 33578*v - 4643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1344 (base 13) to base 7.\nAnswer: 11022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -662*q + 332*q = -336*q - 138 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ew when two letters picked without replacement from lsesaiwe.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(((-4)\/(-6))\/1). Let y = t + 2. Find the third derivative of -y*r**3 + 2*r**3 + 3*r**2 - 3*r**3 + 0*r**2 wrt r.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 16 = v. Let d = -1 - v. Solve -2*c + 7 = x, 3*c + c - 5*x = -d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 5*b - 9. Let n be u(-7). Suppose n + 7 = 4*r. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99 + -37 + 116 + 139 + -4.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**19\/m)\/m)\/m)**33 assuming m is positive.\nAnswer: m**528","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gtbuthbthvvvh. Give prob of sequence bhhg.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmkm when four letters picked without replacement from {k: 2, x: 4, m: 5}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-10))\/((-6)\/15). Let j be 1 - (0 + (-16)\/(-10)). Which is the nearest to v? (a) -0.2 (b) -3\/2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4781144?\nAnswer: 2, 597643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**5\/20 - 17*q**4\/12 + 17*q**3\/3 - 18*q**2 - 29*q. What is the units digit of k(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -176*r**2 + 2*r - 754 wrt r?\nAnswer: -352*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 209, 4, -4, -5 in increasing order.\nAnswer: -5, -4, -3, 4, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 6*y - 2. Let d be l(-7). Suppose 0*n = -u + 2*n + 2, 0 = -4*u + 5*n + 5. Suppose u = 5*k - 11 - 94. Solve -k = -d*o - 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 5*k**2 + 6. Let i be l(-5). Suppose i*y - 18 + 6 = 0. What is the tens digit of y - ((-14 - 4) + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**3 + 40*l**2 + 75*l = 0.\nAnswer: -5, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 10:15 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5d8 (base 14) to base 7\nAnswer: -3261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1427 - -134?\nAnswer: -1283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 9074 and 3.9.\nAnswer: 9077.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tbtt when four letters picked without replacement from tbtttbcb?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/4)*y)**(18\/7)\/(y**(-2\/7))**(-7) assuming y is positive.\nAnswer: y**(17\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1254)\/38*(20\/24)\/(-3*4\/24).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -10. Let i = 55523 + -55529. Which is the closest to 1\/3? (a) i (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 212*o - 16. Let z(u) = -65*u - 7. Give s(z(t)).\nAnswer: -13780*t - 1500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 44*t - 5351 = -49*t, -2*t = f - 5366. Calculate the highest common divisor of 144 and f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -8584427.\nAnswer: -4\/8584427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*n**2*v**2 + 83*n*v**2 - 29*v**2 wrt n.\nAnswer: -4*n*v**2 + 83*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5165 and 12695.\nAnswer: 13113935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 635 (base 10) to base 14.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 + -0.4. Let v be (-6)\/(-13)*52\/312. Which is the closest to 1? (a) -1 (b) v (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, l: 8, v: 3, c: 1, n: 2, b: 1}. What is prob of picking 1 v and 1 l?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, x: 6, p: 4}. What is prob of picking 2 x?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u**5 + 93631*u**4 - 39*u**2 + u - 758.\nAnswer: 60*u**2 + 2247144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12 + (-18)\/(-4)*(-40)\/(-45). Solve -b*z - 5 = -17*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.17, 52, 5 in decreasing order.\nAnswer: 52, 5, 0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*j - 4*j + 1, -2*s - 3 = -j. Let u(l) = 389 - 5*l - 781 + 388 + 4*l. Let r(d) = -d - 1. Give s*u(q) + 2*r(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5323, -42854, -144741, -343168, -670319, -1158378, -1839529?\n\"Answer: -5364*l**3 + 6*l**2 - l + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**2 - q**3 - 2 + 2*q**3 + q**2 + (0*q**2 + 0*q**2 + q**3)*(-5 + 2 + 4) + q**3 + 0*q**3 + 0*q**3.\nAnswer: 3*q**3 - q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 854 (base 16) to base 2.\nAnswer: 100001010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2437\/572 + -3\/286. Are f and 5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 820?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q**2 - 5*q - 8. Let h(t) = -4*t**2 - 5*t - 7. Let o(f) = 6*d(f) - 7*h(f). What are the prime factors of o(-4)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -5*h + 20, -4*h + 26 = -v + 7 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 - 6*f + 4. Let o be q(5). Let s be (o\/30)\/((-2)\/(-20)). Suppose r + r - s = 0. Let p(j) = j**3 - 4*j**2 + 3*j + 1. Determine p(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 21. Solve -l*h - 10 = -3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + s - 1. Let l = 0 - 2. Let p be i(l). Solve 0 = -0*u + u - p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 463*x**4 + 1488851*x**2 - 1180*x**4 - 3*x**3 - 1488850*x**2 in the form a*x**4 + y*x**2 + f*x + u*x**3 + c and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(2*h - 7*h + 3*h) + (6*h + 10*h + 4*h + 5*h + 0*h - 4*h + (5 - 4 - 3)*(2 - 2 + 2*h) - 3*h - 3*h + 4*h)*(0 - 3 + 4).\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 + 48*u**2 + 87*u + 42.\nAnswer: 3*(u + 1)**2*(u + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (124\/(-48))\/(-31)*(6 + -2). Which is the closest to 0.1? (a) t (b) 3 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 69838 - -87771. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 6 - 3)*(-2*x**3 - 3*x**3 + 4*x**3) in the form m*x**3 + z*x**2 + g + p*x and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -5*c + 30, c - 2*v - 3*v = -23. Suppose c*f - 27 - 57 = 0. Is f a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y - 9*y + 2 + 0*y)*(149*y - 99*y + 302*y + 217*y).\nAnswer: -8535*y**2 + 1138*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1033310322 (base 4) to base 3.\nAnswer: 121121112000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -14. Let r(g) = -2*g + 20. Let l be r(8). Suppose 3*h - 62 = 4*m, h - 13 - 13 = -l*m. Calculate the lowest common multiple of q and h.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*o**3 + 0*o + 0*o - 134094913 - 134094924 + 268189837.\nAnswer: 11*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 5910, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*l + 26*l = -10. Suppose 4*p - 16 = -n, l*n - 5 = -2*p + 3. Suppose i - u - 38 = 2*u, -p*i + 5*u = -166. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 10*z - 8*z. What is the lowest common multiple of 2 - z - (-1 + 1) and (-3)\/((3\/4)\/(22\/(-11)))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 339\/10 - 67\/2. What is the smallest value in i, -2\/9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g = 37*g - 260 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(-4 + (-9)\/(-2)). Let g be -1 + -1*(126\/(-24) + 5). Which is the nearest to -2? (a) p (b) g (c) 0 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -1\/60*y**5 + 0*y**3 + 0 + 0*y**2 - 24*y + 0*y**4 + 0*y**6 + 1\/126*y**7. Factor l(w).\nAnswer: w**3*(w - 1)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39 - 12*j - 39)*(-3*j + j**3 + 2*j + j**3).\nAnswer: -24*j**4 + 12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqeqwptqwqtqwwew. Give prob of sequence qw.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1254872526?\nAnswer: 2, 3, 43, 4863847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 1:10 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 17 + 128 + 2*r)*(0*r - r + 2*r).\nAnswer: 2*r**2 + 92*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 289*i**2 - 555*i**2 + 253*i**2.\nAnswer: -13*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by -233\nAnswer: 26\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a*v*z - 938*a*v + 7044550*a*z - a - 576*v*z wrt v?\nAnswer: -2*a*z - 938*a - 576*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40670893 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0 - 3 = 0. Let f be (6\/(-3) + 1)*t. Let b(j) = -f*j + 0*j - j. Let c(v) = -v**2. What is b(c(x))?\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 100460654 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: Suppose -13 = x - 37. Let i be 2\/(8\/3)*-4. Let o = i + x. Is o a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1836 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4292 and 735?\nAnswer: 3154620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v - 16. Let y be c(-10). Suppose -2*d = -k + 11, -y*d + d = -k + 16. Are k and 2\/127 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - (-10 - 40 - -8)) + -2 + -9?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*u - 22 = 2*f, 0 = 2*f + 4*u - 36. Suppose 26*l - 21*l = f. Suppose -l*w = -a + 2*a - 201, -4*w = -a + 241. What are the prime factors of a?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a6 (base 16) to base 8.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 858 is divided by 48?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1056 (b) 5 (c) -5 (d) -3 (e) -0.21 (f) -5686\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pgpgappppp. Give prob of picking 2 p.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.547 + 31.553. Let r = 32 - u. Let k = 0.63 + -0.23. What is the third smallest value in k, r, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**2 + 3783996*b + 3579656432004 = 0. Calculate b.\nAnswer: -1891998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -332 by -83.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9231 = 251*r + 139612. Sort 2\/13, 4, -2\/5, 0, r in descending order.\nAnswer: 4, 2\/13, 0, -2\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 50 - 3*f + 5*f - 50. Let k(u) be the second derivative of -1\/2*u**2 - 1\/2*u**3 - 7*u + 0. Calculate k(y(r)).\nAnswer: -6*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2948209306?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 5220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -1) + (-427 - -462).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 569 is divided by 423?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3063 (base 9) in base 15?\nAnswer: 9e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vuuuvvhhhuvhuhuhvvv. What is prob of sequence hvuh?\nAnswer: 35\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 42040 (base 6) in base 11?\nAnswer: 4268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 to the power of 1\/2, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/2 of a second?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -91 - -91. Which is the second smallest value? (a) 4 (b) i (c) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -115 - 4?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/23 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 7*b**2 - 6*b + 11. Calculate r(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/(-688)*10\/(-25).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 7*o - 16 + 39)*(-6*o + 0*o + 2*o) + o**2 + o**2 + 0*o**2 + (-3*o - o + 3*o)*(-2*o + 0*o + 0*o) + 2*o**2 - 2*o**2 + o**2 + 0*o**2 + o**2 + o**2.\nAnswer: -21*o**2 - 28*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 1\/12, 3645\/4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*i + 27*i - 30. Let b be -13*(-6)\/(i + -3 + -13). Which is bigger: -9 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -1\/33*c**3 + 4*c - 1\/33*c**4 + 0*c**2 + 0 - 1\/110*c**5. Factor p(b).\nAnswer: -2*b*(b + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*q - 5 - 3*q + 3 - 3 with respect to q.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24772 - 24768 + 74301 - 24761 + 638*v.\nAnswer: 638*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 31, 2, -2, -47, -5, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 23 = -5*p, -5*j = -5*p + 4*p - 5. Solve 17 = -p*t - 2*c + 2, 0 = 3*t - 3*c + 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1812 - 1812. Let l = 119 + -1306\/11. Is c bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77046\/1 - (15\/12 + 21\/(-4))?\nAnswer: 2, 5, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -76*r**2 + 4. Calculate u(-1).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 12, 3*q + q = -g - 13. Let y(o) = 112*o**2 + o + 2. Let k be y(g). Suppose l = 4, 3*p - 4*l + k = 4*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (474\/3081)\/(1\/(-338))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.012, -2380, 1\/7, 0.1 in increasing order.\nAnswer: -2380, -5, 0.012, 0.1, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 24 = 3*d, 2*m - d = -0*d + 11. Suppose 4*g - 3*g + 1 = -2*w, -m*w - 9 = 3*g. Solve 5*p - 20 = -2*c, w*p + 2 = 6 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*w - 4110, 5*w + 3*d - 3280 - 3589 = 0. Let b = w - 957. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 i when four letters picked without replacement from iiiiiiiviiiiiiiviiii?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 21812*o - 2791944. Determine p(128).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-11 + (10 - (-3 - -6)) - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 86986 and 168360?\nAnswer: 5219160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 5:15 AM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 16 + 14. Let w be (15\/25)\/(p\/(-4)). Which is smaller: 1\/2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -265, -11.6, -4, 1, -2\/11 in descending order.\nAnswer: 4, 1, -2\/11, -4, -11.6, -265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 9*t - t)*(7*t + 2*t - 5*t)*(10*t - 10*t + 7*t**3).\nAnswer: 168*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 55.7704km?\nAnswer: 55770400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 1)*(-2 + f**2 + 2)*(6*f**2 + 8*f**2 - 7*f**2) in the form k + l*f + w*f**3 + c*f**4 + q*f**2 and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*p = -135*p + 7513408. List the prime factors of p.\nAnswer: 2, 31, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1288745199 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + n - 3 = -4*n, -10 = -4*z + 2*n. Solve -z*g - 5 = 3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (22\/(-12) + 2)*3. Suppose 416*o + 193 = 659 + 782. Factor -b*d**o + 1 + 3\/2*d + 0*d**2.\nAnswer: -(d - 2)*(d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/30 + 0)\/((-130923)\/373 + 354)\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + x + 3)*(-7 + 3 - 2 + 4*x).\nAnswer: 4*x**2 - 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 0.1, -4\/3, 1522?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 6\/7*i + 2\/7*i**4 + 10\/7*i**3 + 2*i**2.\nAnswer: 2*i*(i + 1)**2*(i + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*q + 31*q - 2*q + 2 + 19*q as i*q + d and give i.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (188\/(-6))\/((-21)\/(-441)). Let i = -531 - h. List the prime factors of i.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-1 + sqrt(832) + sqrt(832))*-4)**2 + (2 + 1 + sqrt(832) + -5)**2.\nAnswer: -544*sqrt(13) + 54104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85 and 2414170.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0208504 rounded to four decimal places?\nAnswer: 0.0209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -8154*h**3\/11 - 28910*h**2 - 310008*h\/11 - 152\/11 = 0. Calculate h.\nAnswer: -38, -1, -2\/4077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1773208 and 8380.\nAnswer: 1676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 460 and 6539820?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -556 (base 10) in base 8?\nAnswer: -1054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -4*k - 5, 6608*x + 3*k = 6613*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, 2\/9, -1, -7\/5, -5, 0.06, -0.057?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, o: 3, p: 3, l: 1, j: 4, e: 4}. Give prob of picking 1 l and 1 d.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 2*r**3\/3 + 4*r**2 + r. Is 22 a factor of f(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -710, 5, -21 in descending order.\nAnswer: 5, -5, -21, -710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1157069 is divided by 192?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-140))\/((-249)\/39010).\nAnswer: 47\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -82, -53, -40, -49?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -1\/3*z**3 + 1 + 5*z + 1\/2*z**2. What is the units digit of d(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.169173267 to two dps.\nAnswer: 3.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 180167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/35 and 61\/85.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1424, 1507, 1490, 1373?\n\"Answer: -50*t**2 + 233*t + 1241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 8 in increasing order.\nAnswer: -2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1054, -2186, -3370, -4600, -5870, -7174?\n\"Answer: c**3 - 32*c**2 - 1043*c + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5123 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17c31 - -6?\nAnswer: -17c2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/22 - 501\/(-33). What is the greatest common divisor of x and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 11*p - 312 = -m + 6*p, -5*p + 300 + 28 = -2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of b**5\/5 - b**4\/12 + 16*b. Let r be x(-1). What is the remainder when 58 is divided by r\/(-10) + 41\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -363668\nAnswer: 1\/181834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5441 - 149. Does 127 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -95*l**3 - 826*l**2 wrt l?\nAnswer: -570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, b: 1, q: 5, c: 1, j: 7, s: 1}. What is prob of sequence cfbf?\nAnswer: 1\/28560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 32386911 divided by 1\nAnswer: 32386911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5 = -20. Let g = -4 - d. Sort g, -1, 4.\nAnswer: -1, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1419802 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-27) - (-485)\/45. Suppose q - t = -10. Is q less than 3\/44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/2 in 4, -3, -0.04, 78, 3\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/5)\/((-2)\/(-10)). Let r = -5 + 8. Suppose -r*s + 4 = -l, -2*s - 4*l + 2 = -10. Sort b, s, -2 in increasing order.\nAnswer: b, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 120. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -66, -151, -270, -423?\nAnswer: -610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 5*j**2 + 4*j + 1. Let i be w(-4). Suppose -i + 17 = 4*g. Suppose q - 3*q = -26. Solve 0*o + 2*b = -g*o + 24, 3*o = b + q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 262.2 + -219. Let g = u - -1.8. Let p = g - 44. Which is the nearest to 0.1? (a) 5 (b) -2\/9 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-64)\/(-24))\/((-4)\/(-102))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1176 by -294.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2 + 4*t - 2*t**2 + 12 - 7*t - 10*t. Calculate the smallest common multiple of l(-7) and (-2)\/(4\/(-10)*20\/16).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(2 + sqrt(891)) - (3 + -2*sqrt(891) - sqrt(891)))*-4 - 2*(((1*sqrt(891) - sqrt(891))*-5 + sqrt(891) - sqrt(891) - sqrt(891)) + 1))**2.\nAnswer: 4536*sqrt(11) + 33840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2952600101*l**3 - 2952600093*l**3 + 34 - 34.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 559020.\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 908652 is divided by 165?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -415, 2, -3, -10 in descending order.\nAnswer: 2, -3, -10, -415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wqww when four letters picked without replacement from wwqqqwqqqqqqqwqqqqq?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14733202*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*c - 94*c + 14*c + 141 = -201 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, z: 15, b: 2}. Give prob of sequence tz.\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 147831180 and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 6*l**2 - 8*l - 10. Let s = 26 + -33. What is x(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 0 + 176 + (-6)\/10*5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, -2, -2\/553?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 39*j**2\/2 - 175. Let g(c) be the third derivative of c**5\/30 + c**2. Calculate p(g(t)).\nAnswer: 78*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9439 + 10251. Calculate the remainder when v is divided by 163.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-5))\/((-1)\/2). Let w = 1138\/15 - 2521\/105. Let p = w - 1075\/21. Which is the second biggest value? (a) t (b) p (c) 0.5 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3699 - 3748 - (-43 + 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -458*y = -624*y + 1660 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 883716.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6217685?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1207 and 12419.\nAnswer: 12419.1207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 10*w**3 + 4*w**2 + 15*w**3 + 16*w**2 - 20*w**2.\nAnswer: 25*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 1\/(-1) + 3. Suppose -u*x = 2*p - 82, -4*x + 86 = 2*p + x. List the prime factors of 10*(-1 + p\/15).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 r, and 1 q when three letters picked without replacement from qqnqqnraqqaqqqql?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -62, -66, -60, -38, 6?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 23 - (9 - (-56 - -16))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 610 divide 185924950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + (-2)\/20*46. Put -0.2, x, -2\/7, -4\/3 in decreasing order.\nAnswer: -0.2, -2\/7, x, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 209, 277, 355, 443, 541?\nAnswer: 649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 27 = 42. Solve 2*d - 13 = d - 4*p, -5*d + v*p = -19 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**3 + 21*c**2 - 11*c + 2. Let s be b(-11). Solve 6*p - s*p = 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -7*o + 4. Let n be z(-15). Let y = -91 + n. Let m be (y\/5)\/((7\/60)\/7). Calculate the highest common factor of m and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hgg when three letters picked without replacement from {m: 6, g: 2, h: 9}.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 231 = 3*h. Let z = 108 - h. Suppose 5*f - z = -3*m + 43, 7 = f - 2*m. Solve 6*d - t - f = 3*d, -5*t = -5*d + 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314896 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.8 + 0.2. Let y = 4.1 - h. Let i be ((-6)\/(-28))\/(3\/(-4)). Which is the smallest value? (a) 5\/3 (b) i (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zezzzmrmpdmze. Give prob of sequence zdpm.\nAnswer: 1\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 3*l - 3, 3*b = -2*l - 4 + 5. Suppose b*r - 7 = o + 4*o, -3*o = -3. Let j(q) = 15*q + 18. Let i be j(-1). Solve -i*m = -r*m + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.68682741 and -1.\nAnswer: -1.68682741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 4. Suppose 0*f = -g*f - 20, -3*c = 2*f - 11. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-14682)\/(-6) - (5 - -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -62, -102, -142?\n\"Answer: -40*t - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d - 3. Let k(h) = 2*h**2 + h - 342. What is -i(s) + k(s)?\nAnswer: 2*s**2 - 339","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*(-105)\/(-42)*(-1)\/5*4.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-351)\/(-26))\/((-12)\/(-16)). Let j(q) = 5*q - 88. Let t be j(i). Solve t = h, 5*d - 4 = 4*d - 2*h for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {b: 3, v: 7, k: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 2)\/((-23)\/(-2)). Let y = -566\/35 - -78\/5. Let x = -45 + 48. Which is the second smallest value? (a) 0 (b) m (c) y (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5000*x + 58. What is the units digit of l(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 - -40. Let j be (1\/(-5))\/(((-5)\/i)\/5). Find d, given that 1\/5*d**2 - 6\/5*d + j = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 114*m**3 + 213 wrt m.\nAnswer: 342*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -12643610 to the nearest ten thousand.\nAnswer: -12640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -78, -17574, 40 in descending order.\nAnswer: 40, -78, -17574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.16 in 4, -9, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -429342 from 75009.892.\nAnswer: 504351.892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 5:11 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -673*p**2*s*t**2 + p**2 - 2*s*t**2 - 4*s*t + 20 wrt p.\nAnswer: -1346*p*s*t**2 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30.14 + -34.069. Round r to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90456.\nAnswer: 2, 3, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -934 = -30*y - 844 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 22200222?\nAnswer: 22201000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2253711*h**4 - 8145513?\nAnswer: 9014844*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (48 - -3)\/3 - (-161 + 70 - -87)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + -7 + 47 + -17?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Divide 40368427 by -2.\nAnswer: -40368427\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2083*r + 2083*r + 5512*r**3 - 5542*r**3.\nAnswer: -30*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6174363 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98826 and 43862.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((14*v - 33 + 33)*(-3 + 0 + 2) + 0*v - 3*v - v)*(-4 + v - 5*v + 2*v) in the form o*v + q*v**2 + p and give o.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15761?\nAnswer: 15761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2506 - -2509. Suppose 3 = 2*s - 3. Suppose 2*l - 11 = -s. What is the fourth smallest value in a, -0.1, l, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2627000 rounded to the nearest one hundred thousand?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j + 2*j - 4*j + (3 + 4 - 1)*(-9 + 9 + 8*j) in the form t + h*j and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29840*b**2 - 29290*b**2 - 29286*b**2 + 88427*b**2.\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001502717413 to four decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -j**7\/1050 - j**6\/600 + j**5\/300 + j**4\/120 + 3*j**2. Find z such that o(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 38038257559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.077 - -0.387. Let u = y + -0.3. Which is the third smallest value? (a) u (b) -1\/4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 89762339?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(((o*o\/(o\/((o*o**4)\/o)*o*o))\/o)\/o*o))\/o*o*o*o**1)**(4\/5)\/((o**1\/o)**46*(o*o**(2\/15))\/o**(-1\/2)) assuming o is positive.\nAnswer: o**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p - 4. Let j(u) = -7*u + 7. Let d(i) = -3*j(i) - 5*r(i). Let w(g) = g**2 + g + 7 - g + 3*g. Let k(l) = 2*d(l) + w(l). What is k(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**2 + 3*n**2 - n**2 + (0 - 2*n + 0)*(5*n - 3*n + 0*n) - 9735*n**2 + 2194 - 1042 - 1152.\nAnswer: -9737*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 0*k + 0*k + (4 - 3 + 1)*(-k - k + k) - k - 3*k + 3*k + 2*k - 6*k + 3*k - 3*k + 3*k - k)*(2 - 3 + 3).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gl when two letters picked without replacement from lgggggglgggggggglg?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008266489021 rounded to five dps?\nAnswer: 0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 161 divided by -171?\nAnswer: -161\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157342186?\nAnswer: 2, 2333, 33721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 379 (base 16) to base 13.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 412745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -2\/3*y**3 - 11 + 0*y**2 + 0*y. Let z(v) be the third derivative of -v**5\/12 - v**2. What is m(z(s))?\nAnswer: -50*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (-1 + 2 - 4). Calculate the least common multiple of -1 - j*11\/(-1) and 11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 127164886\/2233 + -56948. Is p > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 718 and 350743?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.03116 + -0.03884. Is 466 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -72615783 or -72615786?\nAnswer: -72615783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5 = -4*b. Let s(f) = f - 5. Let w be s(b). Which is bigger: w or -1\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 858*i**5 + 3*i**3 - 2*i**2 - 56. Let o(s) = -862*s**5 - 2*s**3 + s**2 + 59. Let n(k) = 3*o(k) + 2*v(k). Find the third derivative of n(z) wrt z.\nAnswer: -52200*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 980366712 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - w + 6 = -3*n, -5*w = -15. Let j = -22.2 - -22. Which is the third smallest value? (a) 4 (b) j (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -11*u**7\/3 + u**5\/5 - 805*u**3\/6 - 592*u. What is the second derivative of r(j) wrt j?\nAnswer: -3080*j**3 + 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n. Let c(q) = q**2 - 5. Let v(x) = 2*x**2 - 10. Let y(s) = -5*c(s) + 3*v(s). Let w(z) be the first derivative of y(z). Calculate u(w(a)).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1008\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**4\/3 + 2207*d**3\/3 - 395036*d**2 - 36185188*d\/3 - 34997872\/3 = 0. Calculate d.\nAnswer: -28, -1, 1118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 824 or 3\/71900?\nAnswer: 3\/71900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 147801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -2\/3 (c) 144 (d) 0 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.28 + 6.72. Let j = 7.627662 + -0.627602. Let q = j - a. What is q rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10875824 or -54379116\/5?\nAnswer: -10875824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-55)\/(-10))\/((-1)\/10). Let h be (-10)\/r + (-24)\/(-110). Factor -2\/5*k**3 + 0 + 2\/5*k + h*k**4 - 2\/5*k**2.\nAnswer: 2*k*(k - 1)**2*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*o - 3*o + 12768. Does 38 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*h**3 - 20*h**3 + 48*h + 82*h**3 + 121*h**3 - 3*h**3 as j + i*h**2 + y*h**3 + w*h and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 0*l = -25. Suppose 2*f - 332 = -3*c, 4*f + c - 390 = 294. Suppose a = l*a - f. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, o: 16}. What is prob of picking 2 o?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361939?\nAnswer: 113, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68603 and 899.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c - 111. Calculate z(-27).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*o - 12, -3*o = -5*w + 34 - 2. Let p = o - -6. Find the first derivative of 2*k**3 - 3 + p + 0*k**3 wrt k.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -a8?\nAnswer: -a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((-3*(sqrt(56) + sqrt(504)))\/sqrt(8))**2 - (sqrt(7)*2 + -1 - sqrt(77)\/(sqrt(44)\/sqrt(4)))).\nAnswer: -2018 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ilq when three letters picked without replacement from mlimqximqiiixlimlm.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 309138 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*d + 6 = d, 3*p + d = 9. Let j(s) = 5 - 2 - 2 + 4*s + 3*s**p - 3*s - s**2. Give j(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 10. Suppose -5*z + 13 = -s*y + 5*y, -z = 4*y + 5. Let a(r) = 2*r + 1. What are the prime factors of a(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -17177 and -4.\nAnswer: -17181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvl when three letters picked without replacement from {v: 2, o: 1, l: 1, z: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 317*g**3 - 358*g**3 + 3*g - 37 + 56 + 7*g**2 + 175 wrt g.\nAnswer: -246*g + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1950 and 2210?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 10*l + 7. Suppose 4*h + 5*k - 7 = 10, 0 = -4*h - 2*k + 14. Suppose -91 + 31 = -h*y. Calculate the remainder when u(5) is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199842437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 159870, 159866, 159862, 159858, 159854?\n\"Answer: -4*z + 159874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*c**4 + 4675*c**2 + 1087*c + 259464188?\nAnswer: -12*c**3 + 9350*c + 1087","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6127 + -2727. Let o = h - -2541. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**2 - 5*f**2 + 5*f**2 + (-f**2 - f**2 + 4*f**2)*(40 - 14 + 49) + f**2 + 1 - 1 as r*f**2 + y + v*f and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 340654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17000283 to the nearest integer?\nAnswer: 4123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7442 and -6?\nAnswer: 44652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7800001?\nAnswer: 11, 149, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.055 * 925478\nAnswer: -50901.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 0*a - 69*a**2 + 1\/3*a**4 + 0 + 0*a**3. Let o(h) = -4*h - 5*h + 3*h. Determine o(f(i)).\nAnswer: -48*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003196875 rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 393 + 404 + 2*p + 447 - 62*p**2 - 1244.\nAnswer: -62*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146160, 292324, 438488, 584652, 730816?\nAnswer: 876980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -116 - -114. What is the units digit of (-3)\/u - (-326)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + d. Let g(t) = -4*t**2 + 9*t - 7. Let q(s) = g(s) - 5*i(s). Let n be q(-5). Let l = n - -19. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 688\/(-68) + (62775\/6885 - 9*1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1216 + 667a?\nAnswer: 5464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 - 13*a + 0*a + 0*a**2.\nAnswer: 2*a**2 - 13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 5*x**4\/6 + x - 8. Let d(l) = -5*l. Give d(n(r)).\nAnswer: -50*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1595 * 159.\nAnswer: -184.3605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of 8*t**7\/21 - 7*t**3 + 51*t. Find the second derivative of s(w) wrt w.\nAnswer: 320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1167 + -1165. Let q be (-17 + -1)\/((-2)\/2). Let g(c) = q*c - 32*c - c**v + 14*c. Let d(y) = 7*y. Determine d(g(x)).\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, 63, 0.24?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -22. Solve -3*n - x = 2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -2. Let h = -0.128 + 0.028. Sort h, -3\/5, o in ascending order.\nAnswer: -3\/5, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25963601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*(k\/(k**7*k))\/k*k*(k\/(k*k\/k**(-2)*k))\/k*k**6*k*k*(k*k*k**(2\/7)*k)\/k*k assuming k is positive.\nAnswer: k**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17729809 to the power of 1\/2, to the nearest integer?\nAnswer: 4211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -860800 rounded to the nearest 10000?\nAnswer: -860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42153425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -475? (a) -3 (b) -4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21562900 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 19, -4 in ascending order.\nAnswer: -4, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1910230000 rounded to the nearest 1000000?\nAnswer: 1910000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 467667451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (66*(-4)\/(-176))\/((-65)\/50)?\nAnswer: -15\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/(-731) - (-836)\/(-2365).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8215 is divided by 3012?\nAnswer: 2191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 391 + -494. Let b(q) = -2*q**2 + q + 1. Let s be b(-5). Let v = s - c. Calculate the remainder when v is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1071 divided by -21\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(175) + 1)**2*3*3 + -3 + sqrt(175) + sqrt(175) + 1 + -5 + (-1 + sqrt(175)*1 + sqrt(175) + sqrt(175))**2 + 5.\nAnswer: 70*sqrt(7) + 3162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -4 + -3 + 3 - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2847 - 882 = 549*r - 3525 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, i: 1, t: 1, n: 3, r: 1}. Give prob of picking 1 n and 1 i.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 571121.\nAnswer: 8\/571121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1676*h**3*u - 2*h*u + 114*u + 76 with respect to h.\nAnswer: -5028*h**2*u - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136 and 48433?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/5 + (6 - 11) + 624\/240.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - -11. Let a = -35.5 + v. Suppose 2*q - 2 = -4*c, c + q = 3*c + 1. What is the closest to 0.1 in 0.05, c, a?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (117*c**2 - 2071*c + 2071*c)*(-72*c**3 - 35*c**3 + 18*c**3).\nAnswer: -10413*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**12\/c*c**(-13))\/(((c\/(c*(c**(-6)\/c)\/c)*c)\/c)\/c**3) assuming c is positive.\nAnswer: c**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 1 (c) 3.6 (d) -10 (e) 2 (f) -66 (g) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 2\/3*y**5 - 18*y + 4\/3*y**3 + 0 + 3\/2*y**4 + 1\/10*y**6 - 4*y**2. Let n(t) be the first derivative of w(t). Solve n(x) = 0.\nAnswer: -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**1))**20)**6*(d**(-2\/3)\/d*d)**49\/(d\/(d*d**(4\/3)\/d)*d**1\/d) assuming d is positive.\nAnswer: d**(-457\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1400)\/sqrt(8) + -1.\nAnswer: -1 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 10899398.653?\nAnswer: -10899398.153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-10)*-5*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2 + 16*q - 4. What is o(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-12))\/7*253*(-144)\/(-1104)?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1216721767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 10 = 1. Let g(d) = d**2 + 3*d. Let r be g(t). Suppose r = -3*m - 4 - 11. Sort m, -1, -4.\nAnswer: m, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 + 244?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 12) in base 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/((-7)\/(-42609)*3). Let l = z - -26320. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.18022um to nanometers.\nAnswer: 58180.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -40090, -80979, -121866, -162751?\n\"Answer: f**2 - 40892*f + 801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oius when four letters picked without replacement from {s: 3, w: 1, u: 1, o: 1, i: 1}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 467, 1385, 2303, 3221?\nAnswer: 4139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*p**5 - 50*p**4 - 54*p**2 + 84109*p wrt p.\nAnswer: 60*p**3 - 600*p**2 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.2 - -2.200414. Round h to five dps.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2 + 4*w - 3. Let u(b) = -b**2 + 2*b - 1. Let r(n) = -2*a(n) + 5*u(n). Let m(y) = 6*y**2 - 10*y - 6. Calculate 2*m(j) + 11*r(j).\nAnswer: j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jlkzzkzlozlzzlkoj. What is prob of picking 1 j, 2 o, and 1 l?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of j**3\/3 - 3*j**2\/2 - 2*j - 1. Let i be a(-3). Suppose 0 = 3*c - i - 2. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 61670 and 61726 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nf when two letters picked without replacement from dfdndcrd.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(-3*a**2 + 3*a**2 - 5*a**2) - 103 - 22*a**2 - 62 + 20*a**2.\nAnswer: 3*a**2 - 165","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**4\/2 + 2813*h**3\/2 + 214413*h**2 + 9096896*h + 53653264 = 0.\nAnswer: -2654, -76, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 102 and 13435411?\nAnswer: 1370411922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.009192*-14.\nAnswer: -0.128688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 528 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03342153 rounded to 4 dps?\nAnswer: -0.0334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -3243\nAnswer: 3243.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -16 and 97825 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-454)\/(-18) - (-14)\/(-63)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -17*j**2 + 40*j - 29. Let m(n) = 3*n**2 - n - 1. Let s(d) = -3*m(d) - v(d). Is s(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 338813*s**4 - 5568*s**2.\nAnswer: 8131512*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*l**3 - 3\/4*l + 0 - 3\/2*l**2 + 3\/4*l**5 + 3\/2*l**4.\nAnswer: 3*l*(l - 1)*(l + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -3, 58, 3, 0, -1, 14 in descending order.\nAnswer: 58, 26, 14, 3, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3000 = -o, 0 = -5*i + o + 2726 + 1024. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 4 - 10 + w - 2 + 24 + 1042*w**2 to u + k*w**2 + r*w and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -16767, -16765, -16753, -16725, -16675, -16597, -16485, -16333?\n\"Answer: q**3 - q**2 - 2*q - 16765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 127048, 129599, 132148, 134695, 137240, 139783?\n\"Answer: -r**2 + 2554*r + 124495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -4*s**3 - 51792*s**2 + 3017628*s + 3069416 = 0.\nAnswer: -13006, -1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1071646670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6166)\/(-26) + (-22)\/143. Is 3\/(b\/(-80) + 3) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 9 = 6*v. Suppose -b + 14 = z + 2*b, -z + v*b - 10 = 0. Suppose -55 = -z*i + 27. List the prime factors of i.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -ba077 (base 13) to base 6\nAnswer: -11112355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.81 in -5\/4, -0.4, -1, -0.06766, -0.09?\nAnswer: -0.06766","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13006 is divided by 1445.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 v when four letters picked without replacement from {u: 6, v: 1, c: 4}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -247, -820, -1737, -3004, -4627, -6612, -8965, -11692?\nAnswer: -14799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/24*-4 + (-255)\/45?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 5*x + 188, 2*t - x - 97 + 37 = 0. What is the remainder when 445 is divided by t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 825157 at most 825153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - i)*(1 + 6 - 3) - i + i + 2*i)*(-5*i - i + 5*i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2925 is divided by 70.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/225*10*-18)\/(15\/50).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -16923, -16919, -16911, -16899, -16883, -16863, -16839?\n\"Answer: 2*n**2 - 2*n - 16923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.5 and 484311.1.\nAnswer: 484315.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**2 - 3*w**2 + 6*w**2 + (6 - 21 - 17)*(13*w + 7*w - 4*w)*(0 + 2*w + 0).\nAnswer: -1022*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, -19, -4, -3, -27, 3 in increasing order.\nAnswer: -27, -19, -4, -3, 3, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182 + 172*d - 347 + 164.\nAnswer: 172*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5542441 (base 8) to base 9\nAnswer: -2723883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 360 and 1204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 13*o**2 - 65*o + 29. Let w(g) = 7*g**2 - 34*g + 15. Let a(t) = -11*w(t) + 6*y(t). Calculate a(16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/17 and -38\/93?\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 93940626 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 255c7 + 3?\nAnswer: 255ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 114\/1486111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -565 * -0.5\nAnswer: 282.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 + -0.3. Suppose 3*n - 3*t + 18 = 0, 0 = -422*n + 424*n + 3*t - 18. What is the closest to n in 1\/4, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1279 at most as big as -1280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 260*j - 798. Calculate m(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/((-4)\/(-88)*-2). Put 2, 0, l in decreasing order.\nAnswer: l, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 580*d - 210250 - 2\/5*d**2.\nAnswer: -2*(d - 725)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 29 = -m - 5*t, 0 = 3*m + 2*t - 4. Let z = m - -2. Suppose 3*g + 2*g = z. Let k(c) = -c**2 + c + 5. Determine k(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13806, 13832, 13878, 13944?\nAnswer: 14030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 439 divided by 38\nAnswer: 439\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -18b (base 14) in base 6?\nAnswer: -1251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of d**3 + d**2 + 3*d - 1. Let j be i(-2). Suppose 4*a - 53 = j. Calculate the highest common factor of 176 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1541, 3120, 4721, 6356, 8037?\nAnswer: 9776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2. Let r(i) = -3*i - 1. Let j(a) = -43*a - 2. Let z(l) = j(l) - 6*r(l). What is v(z(d))?\nAnswer: -1250*d**2 + 400*d - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -788 + 22850\/29. Let s = -83\/58 + r. Let m = 39.2 - 39. Put m, -4, s, -2 in increasing order.\nAnswer: -4, -2, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 9. Let q be o(-7). Let f(s) = -s + 3*s - 5*s - s**q - 1. Let b be f(-3). Is b not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 9*b**2 + 11*b + 12. Let w be 1 - 1 - 30\/3. Let x be r(w). Suppose -3*v = x*a, 0 = v - 2*a - 2*a. Which is smaller: -2 or v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tdtdttdttt. Give prob of picking 4 t.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 748 divided by 2\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 526124977.\nAnswer: 7, 23, 1741, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -i**6\/45 + i**5\/40 - 2*i**3\/3 - 1. Let w(k) be the third derivative of h(k). Find the second derivative of w(l) wrt l.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1066 + 1097. Calculate the remainder when 153 is divided by i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -17. What is the remainder when 21 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -62 + 82. Suppose -13 - 7 = -k*w. Suppose 3*t = -w*m + 6040, 3*t + 0*t + 3*m - 6030 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -94 - -96. Factor 36*z**n + 66 + 3651*z**3 + 84*z - 3655*z**3 - 22.\nAnswer: -4*(z - 11)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19074858, -19074856, -19074854?\n\"Answer: 2*y - 19074860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -14*n + 660. Let m be g(47). Solve 8 = -4*s, m*s = 7*l - 10*l - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -8*y + 12*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/14 and -55\/13492408?\nAnswer: 94446856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 10:28 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-63)\/((-1)\/14*3) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*z + 41*z + 3*f + 35 = -38*z, 3*f + 160 = -29*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 599.372523 + 93?\nAnswer: 692.372523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/10*-12 + 4)\/(10\/45)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -55*o - 6. Let l be t(-5). Let x = l - 79. Suppose -5*g + 0*g + x = 0. Is 19 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 13*n**2 - 12*n + 5. Let d be p(12). Suppose -d*w = -13*w. Suppose w = -8*u + 13*u. Which is smaller: -12 or u?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2536530*0.3\nAnswer: -760959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67489980 by -22496660.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 20 = -3*k, 624*t - 15 = -k + 627*t for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -845244*u**2*w**3 - 6*u**2*w**2 + 99*u*w**3 - 29566*u wrt u.\nAnswer: -1690488*w**3 - 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1029*f - 11604*f - 343086 = 440160 for f.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, -0.05, -11, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 355 = 59*n - 56*n, -4*n = -20. Calculate the greatest common factor of 238 and v.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 = l - 4*l. List the prime factors of l.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 79*u**2 + 901*u - 7970. Give s(-90).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 72980.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 0 + -1 + 10. Let o = x + -6. Suppose 4*f - 2*a - 40 = 0, -49*f + 48*f = -a - 9. Calculate the smallest common multiple of o and f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 24 - 21729?\nAnswer: -21705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 62760837 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 4, 13\/2, -4.\nAnswer: -4, -2\/11, 4, 13\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -376335*a**2 - 375540*a**2 + 751876*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2094386, 4188762, 6283138?\nAnswer: 8377514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2. Let a(v) = v**2 + 3*v - 3. Let l(h) = 20 + 2 + 0*h**2 - 6*h**2 - 22*h. Let n(y) = -44*a(y) - 6*l(y). Give j(n(k)).\nAnswer: 128*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*t + 6 = -289*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*u**2 + 8*u**2 - 6*u**2 + (-3*u**2 + u**2 + 0*u**2)*(0 - 1 + 2) + 3 - 2*u**2 - 3 - u**2 + 8*u**2 + 6*u**2 as d + w*u**2 + y*u and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 6:32 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5250 and 325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.4 = -1104\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 19*w**2 - 49*w - 29. Let b(d) = -28*d**2 + 74*d + 41. What is 5*b(s) + 7*l(s)?\nAnswer: -7*s**2 + 27*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -7421112 divided by -9288.\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4431, 14, 5 in increasing order.\nAnswer: -4431, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + p - 12 = -y, 5*y = -2*p + 8. Let i = -11 + 12. Let j(z) = -i + 2 - 7*z + 6*z. Give j(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 598*s**3 - 183*s**2 + 4*s + 808900.\nAnswer: 1794*s**2 - 366*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -49, -48, -47, -46?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) -0.3 (c) 149 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 600166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17618*q + q**3 + 0*q**3 - 17618*q.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -297, -943, -2283, -4659, -8413?\n\"Answer: -57*d**3 - 5*d**2 - 232*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16185 by -1.\nAnswer: -16185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/5 (b) -0.07 (c) -15 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20011212210002 (base 3) to base 12.\nAnswer: -1124a62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - 3*d**2 + 3*d)*(2*d**3 + d**2 - d**2) - 3*d**2 + 4*d**5 - d**5 - 2*d**5.\nAnswer: -5*d**5 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5202083 divided by -27.\nAnswer: -5202083\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8884601 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-2) + 1 + (-12 - 682\/(-22)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 5, -3 = l + 2*l + 3*f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 7001.\nAnswer: 14002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8955*o - 1590 = -17926*o + 8941*o for o.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 28*s + 9. Is f(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1707*g**3*l**3 + 22035*g**3*l**2 - g**3 - 2*g**2*l**3 + 116*g**2*l**2 + 8*g*l**3 + 2*l**3 - 7*l**2 - 9 wrt g.\nAnswer: 10242*l**3 + 132210*l**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1306 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 3*d + 3. Let c be t(7). Let h = c + 45. What is the units digit of (24\/10)\/(4\/h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of q**4\/3 - q**3 - 7*q**2. Is 9 a factor of j(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 431 - 428. Let l = 1 - 0. Sort 0, v, -2, l in decreasing order.\nAnswer: v, l, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -301 * -0.0580693.\nAnswer: 17.4788593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 55*y**2 + 106*y + 3. Determine a(53).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/7164 and -75\/28.\nAnswer: 50148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.05 + -2. Let l = -65172 - -65167. What is the biggest value in o, -2\/5, l, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**2 + 45512259*x - 45512256 = 0.\nAnswer: 1, 15170752","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-7) - 6\/21. Calculate the common denominator of z\/(-1) + (-63)\/(-10) and 53\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 5, 11, -7.9, 0.2, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 8:00 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 30671, 30670, 30669?\n\"Answer: -c + 30672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0019700926 to six dps.\nAnswer: -0.00197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqs when three letters picked without replacement from {k: 1, q: 1, w: 1, s: 1, e: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37 and 703.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 165\/25 + 3\/(-5). Suppose 2*p - r*p = -96. Suppose p = 2*c - l, -c + 43 = 2*c + 2*l. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -0.1184806.\nAnswer: 0.0592403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 5671 and 5672 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1218191 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 5*g - 6*g**2 + 5*g + (1 + 2 + 0)*(-g**2 + 4*g**2 - 4*g**2) + 0*g**2 - g**2 + 0*g**2.\nAnswer: -10*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cacl. What is prob of picking 1 l and 1 c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 141\/((-3)\/(-2) - 0). Suppose -z = c - 3*c. Suppose 4*f - 2*q = f + c, -4*f = -2*q - 60. What is the highest common divisor of 26 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*u - u + 510, 4*z - 8 = 0. Let l = u - -250. Sort 5, l, 4, 0 in increasing order.\nAnswer: l, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -3*u**5\/5 + 15*u**4\/4 + 111*u**3 - 1845. What is the third derivative of j(c) wrt c?\nAnswer: -72*c + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {l: 13, h: 6}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (3 + -1 - 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7*-27*(-21)\/(-99225)\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 - 34. Let f(h) = -5*h**3 - 4*h**2 - 5*h - 6. Is 28 a factor of f(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 3\/5, 1, -8.4, 2401?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.527423 centimeters to micrometers.\nAnswer: 65274.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (756\/(-72))\/(3\/(-48460)) + 9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 41 = -4. Suppose -3*o - 4*h = -3*h - 20, -5*o = -4*h - 5. Suppose -2*j - i = -o*j. Solve j*l = 12 - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176.74962 months in years?\nAnswer: 14.729135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*f + 127*f + 91 = -47 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 b, 1 c, and 1 e when four letters picked without replacement from {w: 2, c: 1, b: 1, e: 13}?\nAnswer: 13\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.8 or -717\/10?\nAnswer: -717\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-6\/11)*t**(1\/4))\/(t**2)**19)**(3\/11) assuming t is positive.\nAnswer: t**(-5055\/484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3970?\nAnswer: 2, 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/8)\/((-21)\/35*125\/(-450)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/13013 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 232 + -177. Calculate the greatest common factor of 517 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39895520.\nAnswer: 2, 5, 7, 179, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 151 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + -4. Let k = w + 2. Let u = -394 + 396. Sort u, k, -0.2 in decreasing order.\nAnswer: u, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 2 + 2 + (-29 + 20 - -11).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134221470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 142 = k, 0 = -2*a + 3*k + 33 + 50. Let i be (-309)\/(-6) + 4\/8. Suppose 2*h - 6*h = -i. Calculate the remainder when a is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 4*r - 152 = 0. What is the remainder when r is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.665 * -13\nAnswer: -60.645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*c - 36. Let v = c - -22. Let w be (-2 + 0)\/(2\/(-25)). What is the greatest common factor of v and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3415104 + 194?\nAnswer: -3414910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1247846072 and -0.062072?\nAnswer: 1247846072.062072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 31*x - 1242. Determine t(54).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 6*y. Let a be t(2). Suppose -a*g + 6 = -10*g. Suppose 3*v - g*q = 51, v = q - 3*q + 11. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 - 80. What is the tens digit of (-2077)\/(-7) + 3\/w*-2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -621 = 144*y - 1773 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 0.0308?\nAnswer: -9.9692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 38 + 6*24\/36?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28 + 21 + 19*k + 4 + 17*k + k to t + u*k and give u.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 220645 (base 7) to base 15\nAnswer: b72d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44520090 and 35502.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-16)*w**1 assuming w is positive.\nAnswer: w**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-15)*(-9)\/(-12).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + sqrt(117)) - sqrt(117).\nAnswer: -18*sqrt(13) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3761690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132, 1112, 3842, 9216, 18128?\nAnswer: 31472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64064.\nAnswer: 2, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 = -5*c - f - 0*f, -4*c + 134 = -3*f. Suppose -18*a + 1248 = -10*a. What is the remainder when a is divided by c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 168\/85, 7, -3\/10 in ascending order.\nAnswer: -3\/10, 168\/85, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**3 + 5*l + 5. Let z(y) = -6*y**2 + y. Let g be (0 - 2 - -2) + 1. Let i be z(g). Let n(k) = 2*k**3 + 3*k + 3. Determine i*n(q) + 3*r(q).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -72512 (base 8) in base 15?\nAnswer: -8d6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 58 - 37 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 540, 1063, 1564, 2037, 2476?\n\"Answer: -y**3 - 5*y**2 + 545*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -527 = -4*p - 13*p. Find the third derivative of 25*v**2 + p*v**3 - 6*v**2 + 4*v**3 wrt v.\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12788380 and 112.\nAnswer: 358074640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2081431631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - (-5 + 1)*1. Suppose -3*m = -i - 4. Solve -m*t + t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/((-1105)\/960) + 46 + -61.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 14, 915, -12 in decreasing order.\nAnswer: 915, 14, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**3 - 212 - 3*v**4 - 2*v**2 - 178 + 2*v + 388 to p*v**4 + a*v**3 + r*v + u + i*v**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 13 = 5*h - 3, 16 = 2*h + 4*f. Suppose 8*b - 8 = h*b. Solve 3*u - 2*l = b - 11, -24 = 3*u + 3*l for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 160, -8, 122, 4, -4 in ascending order.\nAnswer: -8, -4, 4, 122, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -562*l + 564*l - 3 + 3.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 70 + -66 + (2 - 9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 545.\nAnswer: 0, 1, 545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4134517 <= 66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2508\/(-110)*(-320)\/12. Solve -m = -69*l - 7*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 272236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313*r - 47*r - 15210 = 30*r for r.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -35, -44, -35, -2?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m**3*p**3*v**3 - 6*m**3*p*v**3 + 2*m**3*v**2 + 4*m**2*p**3*v**2 - 2*m**2*v**2 wrt v?\nAnswer: -18*m**3*p**3 - 36*m**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 9:20 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 30 = 2*b. Let a(u) = 4 - b - 36*u - 28*u. Let p(i) be the first derivative of i**3\/3 + 1388. Give a(p(z)).\nAnswer: -64*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {z: 4, y: 3, t: 2, h: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7*7\/98*(25 - -1). Suppose -2888 - 2325 = -y*b. Is b a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -1324*r + 17208. Let d be f(13). Let z = -218 - -1529\/7. Which is the nearest to -2? (a) 2\/3 (b) d (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 0 - 12 = 3*m, 5*m - 10*m - 4*h = 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 524.1 - 524. Which is the closest to -1\/4? (a) -28 (b) 5 (c) l (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9127778 is divided by 20017?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i. Let s(d) = -5496*d. Calculate j(s(g)).\nAnswer: 10992*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 431484 or 431404?\nAnswer: 431484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 3:09 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**3\/2 - 8379*o**2\/2 + 411723*o = 0.\nAnswer: 0, 102, 2691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*a + 1700 + 2704 = 9037 for a.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 1:28 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -382*i - 20622. Determine y(-54).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2 + 7*k + 6. Calculate the remainder when 76 is divided by y(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4836 + 1370. Let v = m - -5429. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9, 17, 25, 33?\n\"Answer: 8*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 648 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = p + 15, -z + 2*p - 68 = 14*z - 3*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297440659.\nAnswer: 297440659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c - 227334. Let p(l) = -l. Give y(p(d)).\nAnswer: d - 227334","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 118690287?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -981693599.812.\nAnswer: 981693595.812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011000110101 + 1011001?\nAnswer: 101011010001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 41*a - 2 - 23*a - 177*a**2 - 19*a + (-2 - 1 + 5)*(0*a**2 - 2*a**2 + 0*a**2).\nAnswer: -181*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1 + 0 + 18\/36\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-2)*q*q*q\/(q*q*(q**(4\/7)\/q*q)\/q))\/(q**(-1))**49*(q\/(q\/(q*q**0)*q)*q**6)\/(q**(2\/7))**(-39) assuming q is positive.\nAnswer: q**(466\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56498, -113011, -169540, -226091, -282670, -339283, -395936, -452635?\nAnswer: -509386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-4))\/(3\/113526). Let n = d - -9921. What is n rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77 - -124. What is the remainder when g is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -32*j**3 - 9*j**2 - 31. Let s(h) = 16*h**3 + 4*h**2 + 15. Let f(g) = 9*s(g) + 4*t(g). Find the first derivative of f(i) wrt i.\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 343.29 + -347.29. Sort 2\/15, 28, a, 6\/17 in increasing order.\nAnswer: a, 2\/15, 6\/17, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 12 - 10)*(-1357*f + 18*f - 400*f - 1514*f - 116*f) to the form y + l*f and give l.\nAnswer: 37059","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -354*t + 242*t + 53*t + 54*t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*d - 30*d - 238 = -19*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2068833450 to the nearest integer?\nAnswer: 45484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mfgemeeggeef. Give prob of sequence ggmf.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44358?\nAnswer: 2, 3, 7393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 14 = -6*k + k, -4*k - 16 = 0. Let m = v + 1. Suppose -m = 4*c - 16. Solve -c*d = -0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -2\/25 (c) 1 (d) -1\/51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2090950 and 14508?\nAnswer: 489282300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/15 + 2555254*q\/3 - 12776276\/5.\nAnswer: 2*(q - 3)*(q + 6388138)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 414065363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3462979 and 0.1?\nAnswer: -346297.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -17*u. Let s be l(-1). Let c(f) = 4*f**2 + 4*f - 71. Suppose -8*h = -h + 56. Let q be c(h). Calculate the greatest common factor of q and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 3*m = -99. Solve -u = -3, 2*x = x + 3*u - m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(216)*6*1)\/((3*-1*sqrt(16))\/(2*sqrt(512))).\nAnswer: -960*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1852126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4773042251 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 46676750 to the power of 1\/3, to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 18. Let t = 5 - 5.6. Let m = 2.4 - t. What is the second biggest value in q, -0.3, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -181627 divided by -4?\nAnswer: 181627\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/2 + 0\/(-6). Is i at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*t = 223, 3*d + 0*t = 2*t - 235. Let i = -79 - d. What is the second smallest value in -3, 0.04, i?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1306693584 to the power of 1\/2, to the nearest integer?\nAnswer: 36148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/2 - 726*r + 263538.\nAnswer: (r - 726)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 568234 is divided by 2008?\nAnswer: 1978","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -10. Is z + (9 - 10)*(-1972 - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 113799*o - 113830*o - 139 = 0, 3*j + 5*o + 37 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 38 in -1, 3, -66?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 6:30 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**2 - 10*x - 2. Let o = 6 + -3. Let h(l) = -6 - o*l**2 - 9*l - 10*l - l + 3. Let n(w) = 2*h(w) - 5*u(w). Suppose n(k) = 0. Calculate k.\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 + 2*d**3 - d**3 + 4*d**3 + 0*d**3 - d**3 + (2*d**2 - 1 + 1)*(-2*d + 5*d + 3*d))*(2*d - 6*d + 2*d) + d**4 + 2*d**4 - 2*d**4.\nAnswer: -27*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9885?\nAnswer: 3, 5, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - u - 2. Let y be s(2). Let g(b) be the first derivative of -1 + y*b**2 - 1\/3*b**3 + 0*b. Let i(r) = -2*r**2. Calculate g(i(z)).\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uux when three letters picked without replacement from xhhppmhmuhhpxmxu.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -88*b**2 - 44*b + 259. Let k(r) = -123*r**2 - 66*r + 388. Let p(d) = -7*i(d) + 5*k(d). What is p(6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 + -40. Solve -o = -1 + g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 35 - (303 - 321)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -353*v - 60 = -356*v. Let d(x) = -x**2 + 6*x - 1. Let t be d(5). Suppose -t*m + m = -480. Calculate the greatest common divisor of m and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 80 + 75. Suppose w*a - 62 = 43. Find the third derivative of 2*i**2 - a*i**5 - 12*i**5 + 16*i**5 wrt i.\nAnswer: -1020*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 2*s**2 + 7*s + 8. Let r be h(-4). Suppose -u = 3*u - r, 3*u = -m + 11. Which is smaller: m or 10\/7?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*k - 90*k - 23712 + 154227. What is the greatest common factor of k and 1017?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 111010?\nAnswer: 111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3414155856?\nAnswer: 2, 3, 1307, 54421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75 + 579. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31011102 - 2?\nAnswer: -31011104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5*-5*sqrt(125) + (sqrt(80)*5 - (3 + sqrt(5) + (sqrt(5) - sqrt(20)))) + 0.\nAnswer: -8 + 145*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 - 7815*y**2 - 430158*y - 1595400.\nAnswer: 3*(y - 2659)*(y + 4)*(y + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = t, 2*l + 0*t - 21 = -5*t. Solve 2*o + 5 = l for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 2:45 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -7*s**3 - 6*s**2 - 3*s + 4. Let d be g(-4). Let t = d + -186. Let b = -2038 - -2084. What is the remainder when t is divided by b?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18467 is divided by 550.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 17*p**3 - 5*p**2 + 9*p + 42. Let b(j) = -47*j**3 + 11*j**2 - 26*j - 125. Let s(l) = 4*b(l) + 11*q(l). What is s(-11)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 4 = -i, -2*u + 14*i - 10*i - 8 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 483110, 483111, 483112, 483113, 483114, 483115?\nAnswer: 483116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = j + 5*u + 1, 4*j - 5*u + 10 = 0. Sort 8, j, -3 in decreasing order.\nAnswer: 8, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*-0.393905\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 148670592 divided by -65436?\nAnswer: -2272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - z - 93 = 0. Suppose 4*r = 0, -2*r + r = -4*n - 12. Let j = n + z. What is the highest common divisor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 8*u - 4. What is o(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 43 = -16*v + 15*v, 4*m + 4*v + 92 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/5 + 897*k\/5 - 6524.\nAnswer: (k - 35)*(k + 932)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 113222333 (base 5) in base 14?\nAnswer: d8aa8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 74*i**2 - 2*i + 2. What is n(1)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5773080 and 324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1417.8352077813 and -0.4.\nAnswer: 1417.4352077813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2436985?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of 0*o + 1\/15*o**3 - 1\/10*o**5 + 31*o**2 - 17\/300*o**6 - 1\/20*o**4 + 0 - 2\/175*o**7. Factor k(q).\nAnswer: -2*(q + 1)**3*(6*q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390224276 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00164778 rounded to five decimal places?\nAnswer: 0.00165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2. Let t(p) = 2732364*p**2. Determine t(x(u)).\nAnswer: 2732364*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4590889717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2817*v + 209. What is the units digit of k(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -178*t - 1133. What is n(-7)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*w = -43*w - 192 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -16 + 10, -2*l + 5*m + 25 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7557009?\nAnswer: 3, 2519003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.9 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/9*54\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127179, 127004, 126829?\nAnswer: 126654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*l + 8. Let z(s) = -7*s - 5. Let v(q) = -q - 1. Let n(j) = l*v(j) - z(j). Let y(k) = k**2. Determine y(n(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, -0.1, -49, -1, -20, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 297 + -295. Suppose 3 = h - 3*s, 0 = 5*s - c*s. Solve h*q - 1 = -4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -g - l, -2*l + 5*l = 6. Let h(o) = -o**g - 9*o + 4*o**2 + 3*o - 4*o**2. Calculate h(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**7\/168 - w**6\/120 - w**5\/80 + w**4\/48 - 10*w. Factor f(i).\nAnswer: i**2*(i - 1)**2*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 316796356 to the power of 1\/5, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.1406 + -128.1506. Let f = -126 - p. Sort 1\/7, 5, f in ascending order.\nAnswer: f, 1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 57113 or 57564?\nAnswer: 57564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5422486 (base 9) in base 11?\nAnswer: 1707125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -57*u**2 + 9*u + 6. Suppose m + 0*m - 46 = 0. Let w be 7\/(-28) + m\/(-8). Let a be t(w). What is a rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-88)\/(-484) + 5\/33. Solve -1\/3 + 1\/3*l**2 + 1\/3*l - g*l**3 = 0 for l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3500 divided by 5\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 11 = 3*a, 3*b + 22 = -0*b + 2*a for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*w**2 + 206*w**2 - 101*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -8*p - 24. Let j be m(-10). Find k, given that -51*k**3 + k**5 - 19*k**5 - j*k**2 - 84*k**4 - 8*k - 71*k**3 = 0.\nAnswer: -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 676 and 1196.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 481887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51 and 288471.\nAnswer: 4904007","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7*u**2 - 4*u - 4. Let c(w) = -112*w**2 + 63*w + 63. Let b(y) = -4*c(y) - 63*q(y). Let f(m) = -m**2. Give b(f(p)).\nAnswer: 7*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-3)\/u**13*(u\/u**(2\/59)*u*u)\/u*(u\/(u**(-4)*u*u))\/u assuming u is positive.\nAnswer: u**(-710\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000023424799 rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7\/412 (b) 0.5 (c) 6 (d) 7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1495, -2759, -4011, -5245, -6455?\nAnswer: -7635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12185834861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 280\/350*(-80)\/48.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**3 - 17*o**2 - 10*o. Let u(y) = -8*y**3 - 52*y**2 - 30*y. Let a(b) = -7*r(b) + 2*u(b). Factor a(d).\nAnswer: 5*d*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-91)\/(12285\/(-1242)))\/((-15)\/(-150)).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 4 - 6)*(-2 + 2 + 2)*(2*j + 0*j - 3*j)*(5 - 5 - 2).\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-342)\/(-741))\/(3\/39).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.8 (b) -0.409087 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 8*d - 79. Let m(n) = -3*n - 18. Let t be m(-13). Is 22 a factor of y(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 - 25. Suppose 251317 = c*d + 44201317. What is d rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 4 = 3*w, 205*t - 201*t - 76*w - 80 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cuuxycxxcxxccyyxxccx. What is prob of picking 1 c, 1 y, and 1 u?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.68, 0.1, -0.6, 1\/8 in ascending order.\nAnswer: -0.6, 0.1, 1\/8, 1.68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**(15\/8)\/((v**6*v)\/v*v**(-2\/7)) assuming v is positive.\nAnswer: v**(-215\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a year?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1185 - -1241 - (16 + -2).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/7 + 10803*z\/7 - 10804\/7.\nAnswer: (z - 1)*(z + 10804)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30 - 6?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -161301 not equal to 0.055?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (930\/(-36))\/31*(-2)\/40*-2?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 99419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 2)*(-1)\/(20\/30)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-35)*(322\/(-28) + 15). Let r(s) be the third derivative of -o*s**4 + 0*s - 3\/2*s**3 - 22*s**2 - 1\/20*s**5 + 0. Factor r(i).\nAnswer: -3*(i + 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -5123a8?\nAnswer: 5123a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4ec4 (base 15) to base 13.\nAnswer: -787c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 2. Let m(z) = 25*z. Let p(j) be the second derivative of -13*j**3\/6 + 21091*j. Calculate d*p(u) + 3*m(u).\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -63*m**2 + 314. Let d(p) = 3*p**2. Let x(t) = c(t) + 2*d(t). Find the first derivative of x(o) wrt o.\nAnswer: -114*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*l**2 + 194*l + 16577 wrt l?\nAnswer: 20*l + 194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 261 and 3132?\nAnswer: 3132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u - 2. Let p be k(5). Let o = -4 + p. What is the second derivative of -6*b + o*b + b - b**2 wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.74887678 + -34.64914978. Let z = 1313 - 1279.1. Let g = z + n. Round g to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2300155 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of 341*x**4\/3 - 44*x**3\/3 - 6745*x. Let b(w) = -47*w**2 + 3*w. Calculate -88*b(c) - 3*y(c).\nAnswer: 44*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7105.6213 minus 123.432?\nAnswer: 6982.1893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 7 - 3 = 0. Let j(x) = -x + 13. Suppose 24 = 6*m - 4*m. Let p be j(m). Put -1, s, p in descending order.\nAnswer: p, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 5*k**3\/3 - 25*k**2\/2 + 20*k + 37. Let d(f) = 0. Calculate f.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z - 4. Let a be v(4). Let r(j) be the first derivative of 0*j**4 - 2\/5*j**5 + 0*j + 2 - 1\/3*j**3 + a*j**2. Find the third derivative of r(o) wrt o.\nAnswer: -48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 330952875?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -56727 divided by -191\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18 + 1947*p + 6 - 1920*p - 18*p**2 + 3*p**3.\nAnswer: 3*(p - 4)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -f + 6. Find the third derivative of -2*i**3 + 2*i**2 + 4*i**2 - 3*i**f + i**3 wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 18, -2, 3 in descending order.\nAnswer: 18, 8, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*x - 8507 = -66*x - 12035 for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 - 304*u + 303.\nAnswer: (u - 303)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -0.018, -4\/3, 4, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 11. Solve 5*q = -r - 9, -i*r - 7 - 3 = -2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8953 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55164 is divided by 6895?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3708116417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 g, and 1 p when four letters picked without replacement from mgpmpgmhpmmmphmhphm.\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r - 37 = -3*o - 12, 3*r + o = 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -37*k**3 + 7*k. Let d(m) = m. Calculate -5*d(q) + r(q).\nAnswer: -37*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3848*i*v**4 - 599*i*v**2 + 10*i*v + 2*v**5 wrt v.\nAnswer: 92352*i*v + 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3565378918 to the power of 1\/2, to the nearest integer?\nAnswer: 59711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3 + sqrt(931) + sqrt(931) + 0 + sqrt(931)*2)**2 + -3*(sqrt(1216) + (sqrt(1216) - (-3 + 3*sqrt(1216) + sqrt(1216))**2)).\nAnswer: -792*sqrt(19) + 73304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 1261*q**5\/5 - 1559*q + 407. What is the derivative of z(k) wrt k?\nAnswer: 5044*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72920080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-34))**(-2\/21)\/(l**(-3\/14))**46 assuming l is positive.\nAnswer: l**(137\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, -18, 2, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22468, 22408, 22350, 22294?\nAnswer: 22240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**13\/b)*b)\/((b*(b**17\/b)\/b*b*b)\/b) assuming b is positive.\nAnswer: b**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44155001 - -2?\nAnswer: 44155003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.215, -1\/4, -2, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 602377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 24 = 2*m. Let u = 15 - 10. Suppose 55 = 5*t - 5*k, -2*t - 4*k = -5 - u. Solve m = 3*w - t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3033817?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 16. Let p be (u - -1) + 4 + 20. Suppose -4*v + 24 = 3*r - 10, v = r - p. What is the highest common factor of 72 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mdddddm. What is prob of sequence dmdd?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3312 and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*s + 8*s - 67*s - 624*s**2 to l*s + z*s**2 + c and give z.\nAnswer: -624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 164 and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36221, -36106, -36007, -35930, -35881, -35866, -35891, -35962?\nAnswer: -36085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 12:37 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/(30\/4))\/(628\/6594). Let u(x) = -2*x + 1. Let q be u(-5). Suppose w*m - q*m = -20. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, 2, -64, 3 in decreasing order.\nAnswer: 47, 3, 2, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.07, -86, -3, 1\/13, -2, 5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 50*w - 10. Let a(o) = 17*o - 3. Give 20*a(d) - 6*p(d).\nAnswer: 40*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 2*k - 4*k)*(-k**3 + 0*k**3 + 3*k**3) + 3*k**3 + 2*k**4 - 3*k**3 + (13 - 13 - 9*k**3 - 2*k)*(0*k - 2*k + 3*k).\nAnswer: -13*k**4 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3221.122 * -0.25\nAnswer: 805.2805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 50712882383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 7*k**2 + 2753*k + 14346. Calculate x(-388).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2307, 1771, 907, -261, -1709, -3413, -5349, -7493?\nAnswer: -9821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v + 2. Suppose 0 = 4*j - 0*j + 36. Let d = j - -9. Give i(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 50857.7 to the nearest 100.\nAnswer: 50900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v**2 + 64*v - 112. Let u be k(14). Let s = 2.82 + 0.18. Let q = 0.2 - 0. Which is the third smallest value? (a) -0.5 (b) u (c) q (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (154 - (5 - 2)). Find the common denominator of 47\/4 and y\/324*21\/(-14).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37 + 1 + 18 + -6 + 5\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -238*p + 485*p + 35*p**2 + 38*p**3 + 176 - 167*p**2 + 160*p**4 - 239*p - 158*p**4 = 0.\nAnswer: -22, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -712654, -2850591, -6413812, -11402311, -17816082?\nAnswer: -25655119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - 13\/((-52)\/8). Solve 154*c - 152*c + 2 = i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmmddmmnmmmmnm. What is prob of picking 1 n and 1 t?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-54)\/(-18))\/((-6)\/(-4)). Differentiate -3568*k + 3572*k + 46 + 2*k**3 - q*k**2 + 2*k**2 with respect to k.\nAnswer: 6*k**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1764 and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13462620 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-756)\/630)\/((-3)\/(-1)))\/((-42)\/(-75)).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(33))\/(-1*sqrt(11)*4) + 0.\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1898315 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4518347 + 27403718.4518347. Let j = a + -27403469.99703. Let s = 248 - j. What is s rounded to 4 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6464057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82 - -69. Let t be 3 + 4 + y + 2. Which is the nearest to -3? (a) t (b) -0.5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -352*i. Let a(q) = 3*q - 15. Let d be (-8)\/64*22 - 5\/4. Let j(y) = y - 6. Let o(l) = d*a(l) + 10*j(l). Calculate n(o(t)).\nAnswer: 704*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.96? (a) -2\/435 (b) 4 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -54*c**2 + 3726*c + 2. What is k(69)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1472)\/(-2))\/46*(-561)\/(-132)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 155 + -161.7. Let y = 7 + k. What is the third smallest value in y, -2\/7, -3\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 7*c + 9. Let y be t(6). Find the third derivative of -4*b**5 + 28 - y*b**2 - 28 wrt b.\nAnswer: -240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 12.814839?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2896, -2910, -2926, -2944?\nAnswer: -2964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 5*c**2 + 5*c - 4. Let o be w(-4). Is 7465\/20 - (-2)\/o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 3. Suppose -k - 12 = -d*k. Solve -4*v - k = -3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*v**4 - 369*v**3 - 16*v**2 + 104*v + 4275 wrt v.\nAnswer: -132*v**2 - 2214*v - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 - -44. Let p be n*(-8)\/20 + 6. Let b be -2*(4 - 28\/p). Sort 5, b, -4 in increasing order.\nAnswer: -4, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 3*t - 100, 22 = -4*w + 3*t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**6\/10 - 3*g**5\/20 + 6*g. What is i in v(i) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 60. Let g(q) = 19*q. What is g(r(i))?\nAnswer: -19*i + 1140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 27165 + -30\nAnswer: 27135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5305209367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, i: 1, y: 1, b: 3, f: 6, z: 1}. Give prob of sequence ebz.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14124)\/2247)\/((-8)\/36 - (-5)\/63).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/16*(-52)\/2?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5624906963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**23))\/(q**16\/q)*q\/q**(-10\/11)*q*q*q*q\/(q*q**16) assuming q is positive.\nAnswer: q**(-540\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k + 2*k + 2*k)*(0*k**2 - 4*k**2 + 6*k**2 + (-k - 3*k + 5*k)*(-4*k + 4*k + k) + k**2 - k**2 + 2*k**2).\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 x when four letters picked without replacement from bxbx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3339 and 30661083.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11802 and 798.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17038734 - -715573645\/42. Let b = 5061\/4 + h. Let w = b + -5\/21. Put w, -1\/4, -0.5 in descending order.\nAnswer: -1\/4, -0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -22*o**2 + 4*o - 26. Let b(n) = 2*n**2 - n. Calculate 4*b(c) + f(c).\nAnswer: -14*c**2 - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 972*o**2 + 48. Let d(t) = -4. Let r(p) = -12*d(p) - h(p). Let n(w) = 2*w. Give n(r(x)).\nAnswer: -1944*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 15 + (1 - 13) - (-94 - -83)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6283 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 - 25217*s + 25217*s. Let z(b) = -14*b. Let u(h) = -h. Let q(j) = -10*u(j) - 5*z(j). What is n(q(p))?\nAnswer: 12800*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-160))\/((-2)\/2)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (6*1\/18)\/((-14945)\/(-7470) - 2) and 24?\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f + 55. Let w(l) = -5*l + 46. Let k(a) = 5*q(a) - 6*w(a). Let p(y) = -41*y + 4. What is 9*k(t) + 2*p(t)?\nAnswer: 8*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -5. Suppose 3*i + 41 = -2*g, -g + k - 7 = -3*i. Is g\/(-10) + (-4)\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-208)\/(-143))\/(4\/22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -3 + 46 + 3 + -11?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(48 - 31 + 75)*(3*z + 3*z - z).\nAnswer: 460*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*m - 69 = 2*y + 335*m, y - 3 = m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 1:01 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -87350455 - 379.\nAnswer: -87350834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**3\/3 + c. Let t(v) = -2*v**3 - 13*v**2 + 19*v + 19. Let z be t(-12). Let k(w) = 40*w - 1375 + z. Determine p(k(m)).\nAnswer: 80*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c - 4. Let t be n(3). Let b be (-65)\/t + 2\/(-7). Let j(z) = -2*z - 1. Let i be j(-3). Solve -b = i*l - 8*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 3:18 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19 take away -3178?\nAnswer: 3177.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 535260 and 858?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -9*b**2 - 27. Let a(k) = -18*k**2 - 59. Let y(o) = 4*a(o) - 9*u(o). Let n(g) = -2*g. Determine y(n(p)).\nAnswer: 36*p**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -f**6\/54 + f**5 + 97*f**4\/36 - 137*f**3\/27 - 32*f**2\/3 + 188*f\/9 + 1288. What is z in w(z) = 0?\nAnswer: -2, 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*a - 12*a + 4*a - 3*a.\nAnswer: -31*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004172208 rounded to 7 decimal places?\nAnswer: 0.0004172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 26 = -u + 8, 3*v = -2*u - 56. Sort 0, 4, -2, v in increasing order.\nAnswer: v, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 - 1592614144*v + 158526238229303296.\nAnswer: 4*(v - 199076768)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - -11 - 18\/(-6)*-6.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1943810 and 15334.\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47237813713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*u + 0*u - 2*u)*(-u - 2 + 2)*(31 - 3 + 13 - 3 + 0 + 2 + (-2 + 3 - 3)*(-1 + 3 - 1)).\nAnswer: 380*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10c17 - -5fa?\nAnswer: 11211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12038?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -3, -13 in ascending order.\nAnswer: -13, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 54*n - 11. Let u(z) = -11*z + 2. Suppose -4*c + 2*y = 36, -6 = 2*c + 5*y + 36. Let l(p) = c*u(p) - 2*i(p). Let a(d) = 2*d. Calculate a(l(w)).\nAnswer: 26*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -112 + -5?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 163059986 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 544 or 547?\nAnswer: 547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -86. Suppose 13*a - n = -21. Let x = 10 - 5. Solve a*h = h + x*b - 20, 4*h + 3*b + 14 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -l**4\/6 + l + 3. Let x(z) be the first derivative of j(z). Let c(s) = -4*s + 6*s - 4*s - 4*s. Give x(c(h)).\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - 0.09. Let s = o + -3.01. Let x = s + 2.5. Which is the biggest value? (a) x (b) -0.1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 5*m - 4. Suppose -3 = -s + 2*s + m*p, 0 = -3*p - 6. Let w(x) = x**2 + x + 14. What is the remainder when w(0) is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -126847\/9 - -14099. Let l(i) = i**3 - 4*i**2 + 4*i + 1. Let n be l(3). Does b = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30976 + 34360. Calculate the lowest common multiple of 752 and j.\nAnswer: 6768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168631865 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 249805108 by 38959.\nAnswer: 6412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3339235.14 * 2\nAnswer: 6678470.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 + -55. Let a be -1 - ((-40)\/5 + i). Solve -a*y + 3*h = 16, 0 = 3*y + 3*h - 8*h + 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = o - 47. Suppose o = 5*u - 4. Let v = 23 - 12. What is the smallest common multiple of v and u?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/10)\/((-2)\/24). Let o be f\/8 - 187\/(-68). Factor -8*z**2 - 10*z - 4*z - 4*z**o - 2.\nAnswer: -2*(z + 1)*(6*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4411 + 4416 - 8828 - d**2 - 7*d**3 - 4*d**4 - d to the form y*d + s*d**4 + u*d**2 + c + l*d**3 and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -736 + 691.7. Let i = -44 - q. Which is the nearest to -1\/4? (a) -12 (b) i (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.0356 times -53.7098\nAnswer: 1.91206888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bpbhpqqrhhppbqqb. Give prob of sequence rqh.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -366548.\nAnswer: 183274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2414 = -3*v - 419, 0 = t - v - 1005. Suppose t = 4*z - 154. Let n be z\/2 + (20\/(-8) - -2). Calculate the highest common factor of n and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230000?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**3 - 23*m**2 + m + 96. Let i be y(11). Let g(r) = -90*r**2 + 14*r. Let h(p) = 18*p**2 - 3*p. Give i*h(a) - 3*g(a).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -6. Let q be ((-6)\/(-5))\/(20\/(-2350)). Let j = 156 + q. What is the lowest common multiple of j and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -27, -51, -91, -153, -243, -367, -531?\nAnswer: -741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -12*l - 1. Let j(h) = 60*h + 4. Calculate 11*i(g) + 2*j(g).\nAnswer: -12*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13758797.\nAnswer: 13, 17, 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 151 + -154. Sort 2, 3, -2, y.\nAnswer: y, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 2 + (-6 - -2)*287198\/(-136)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence szsz when four letters picked without replacement from sseezesezzsseseeese?\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*o - 18 = 39, p - 11 = -o. What is the tens digit of p\/(-30) + 485\/25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4149 is divided by 2074?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -0.9. Let q = 1950.115 + -1955. Let t = -0.115 + q. Which is the smallest value? (a) t (b) 0.4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2616 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 29*f**2 + f - 4. Let p be o(-2). Suppose -5*s = -p - 30. What is the remainder when 111 is divided by s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 33. Suppose 5*s - u - 10 = 0. Solve -s*r + 15 = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107727680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.1 - 16.9. Let v = 271.5 - 258.13. Let w = v + h. Round w to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {a: 1, h: 3, s: 2, i: 4}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/39, -14, -1, -5\/4 in descending order.\nAnswer: 2\/39, -1, -5\/4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.0163 * -5.2\nAnswer: -0.08476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.33 + -0.32999906. What is y rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1427?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -26, -295, -806, -1559, -2554, -3791, -5270?\n\"Answer: -121*n**2 + 94*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) -1\/4 (c) 7 (d) 1 (e) 0.29 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03814 and -0.41.\nAnswer: -0.0156374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l**2 - 4*l + 13. Let t(b) = -b**2 + 15*b - 33. Let c be t(3). What is q(c)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 7*z**2 - 2*z - 10. Let m be i(-7). Find the common denominator of 51\/7 and 3 + ((-155)\/m)\/5.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6332*c - 11 - 2 - 37 + 6366*c.\nAnswer: 34*c - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6\/7*y - 3\/7*y**2 = 0. What is y?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**6\/135 + u**5\/15 - u**4\/18 - 10*u**3\/27 + u - 169. Solve l(w) = 0 for w.\nAnswer: -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*n = 17 - 3, -a = 4*n - 22. Suppose 2 = 3*o - 70. Let u = o - 6. What is the highest common divisor of a and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1104387 is divided by 340?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*i - 7*i. Suppose -3*l + 10 + 25 = 5*m, -3*m + 12 = i. Solve l*j - 3 = -18 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114.8917959ms in weeks?\nAnswer: 0.00000018996659375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xmmxx. What is prob of sequence xxxm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -324*f - 299*f - 325*f + 1056*f.\nAnswer: 108*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.5, -2\/3, -2721?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23\/192 + -3\/64. What is the nearest to 7 in -3, s, -5, -2\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8 - 7)\/(1\/4). Suppose 0 = -3*r + 4*n, 11*r - 16*r = 3*n. Solve u*c - 4 + 0 = r, -c - 19 = -4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 10*y - 13. Let w(o) = -12*o**2 + 1. Let c be w(1). Calculate m(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 458 - 74 = -64*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -10558.\nAnswer: 21116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -507058 - -16.2.\nAnswer: -507041.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -15170069 < -15170068?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 158. Determine c(13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, -5, -3, 0.1, 4, 585?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 a when two letters picked without replacement from {l: 2, a: 5, u: 7, j: 3}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 4. Let i be c(3). Solve u - 22 = i*z - 2*u, -24 = 4*z - 4*u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2829320189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31699374.\nAnswer: 2, 3, 7, 73, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -119.843 and 3837.\nAnswer: 3717.157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b + 5 = 13*b. Solve -5*d + 35 = -0*d + b*c, 2*d - 4*c = -10 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1123 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1427684.\nAnswer: 2, 241, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/4 + (-540)\/(-24). Suppose 3*w + l = i, w + 4 = i + 2*w. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -533 divided by 2?\nAnswer: -533\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -14 + 4. Suppose -4*f = -5*w + 1, 0 = -2*w + 4*f - 0 + 10. Let r(v) = v**3 + 4*v**2 + 5*v + 2. Let t be r(w). Sort n, -1, t.\nAnswer: t, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**2 - 3*s - 7. Let j(r) = -4*r**2 + 4*r + 7. Let x(w) = 4*j(w) + 5*l(w). Let a(z) = -z**2 - 2*z + 3. Let f be a(-3). Calculate x(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(7) - sqrt(252)*1)) + 5.\nAnswer: 5 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**5\/8 - 5*t**4\/4 + 17*t**3\/4 - 9*t**2\/2 - 27*t\/8 + 27\/4.\nAnswer: (t - 3)**3*(t - 2)*(t + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -758414 = -716*q - 806386 for q.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/3 - 4*p**2\/3 + 4*p\/3.\nAnswer: p*(p - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 take away 977926?\nAnswer: -977926.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.071 + 107.429. Let x = a + -107. Suppose 0 = -y + 1. What is the third biggest value in y, x, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1\/5 (b) -0.1 (c) -7 (d) 0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)\/sqrt(2))\/sqrt(11))\/((sqrt(36)\/sqrt(3))\/sqrt(6)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 79.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 - 3)*(-5)\/2. Let m = -2 - l. List the prime factors of (2 - -3*m)*1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**5)\/(((h\/(h\/h**(-1\/7)))\/h)\/h)*((h*h*h**(-1)*h)\/h)**(-31\/5))**(-28) assuming h is positive.\nAnswer: h**(1128\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*i - 14*i. Suppose 0*x - 5 = -3*x + i*o, -o + 1 = -5*x. Let s = 6 - 3. Which is the second biggest value? (a) -2\/13 (b) x (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12829119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -108*l**4 - 789*l**5 - 4*l - 789*l**5 + 20 + 21 + 1580*l**5 wrt l?\nAnswer: 40*l**3 - 1296*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) 2\/17 (c) -12\/7 (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) - (sqrt(1008) - (sqrt(1008) + 0)*5))**2.\nAnswer: 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -275*v**5 - v**3 - 406*v.\nAnswer: -5500*v**3 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 10 = 0, 490 = 4*f + 2*t + t. Let q = f + -24. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 2296.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57811201.\nAnswer: 7, 8258743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 62362 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (4 - 3)) + 1 - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*p**5 + 407*p**2 + 6828*p - 5?\nAnswer: -180*p**3 + 814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 3*h - 105, -3*h - 5*x - 1253526 = -1253655 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 545227385.\nAnswer: 5, 109045477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -19*t**2 + 71. Let g(z) = z**2. Determine x(g(f)).\nAnswer: -19*f**4 + 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7757497091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-630)\/(-40) + (0 - 1\/(-4)). Suppose 15 = 21*w - z*w. Suppose r + 2*k = -w*k + 39, 4*r = -5*k + 141. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bsss when four letters picked without replacement from {s: 7, b: 2}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of y**4 + 676*y**3 + 129030*y**2 + 256036*y + 1713. Factor u(s).\nAnswer: 4*(s + 1)*(s + 253)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4958 is divided by 382.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 204015219563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z**2 + 193*z - 7*z**2 - 190*z)*(-3*z + 3*z + 2*z - 2*z**2) in the form y*z + x*z**4 + o*z**3 + d + s*z**2 and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = s - 123, -t - 132*s + 79 = -128*s. Calculate the remainder when 3418 is divided by t.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30967722.\nAnswer: 2, 3, 1720429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 22*n**3 - 24*n**3 - 3 in the form x*n + f*n**3 + u*n**2 + h and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4686142557?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 157098899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 511.4143 millilitres in litres?\nAnswer: 0.5114143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 377*t - 374*t + 18. Is (-5)\/10 + (-393)\/t a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*p. Suppose -a = -p*a - 35. Let d = -31 + a. Calculate the least common multiple of d and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*q = 80*q + 2046 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 5*h + 316, -4*h + 1663 - 399 = 4*i. What is the remainder when i is divided by (-30)\/(85\/136 - (2 + -1))?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9149 + 9872. Calculate the remainder when z is divided by 155.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28939371.\nAnswer: 3, 9646457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/2*(-4 + 6). Put 2, 2\/3, s, 0.1 in ascending order.\nAnswer: 0.1, 2\/3, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/12 and -59\/126?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2443203 (base 6) to base 12\nAnswer: -63503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16560 and 270?\nAnswer: 49680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d**2 - 11*d + 17. Let v be r(2). Solve 0 = -2*w + 2, -3*j - 2*w - v + 4 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/70 - 1344\/784*1\/(-6)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 283.7845\nAnswer: 283.7845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - 47*u + 85*u to the form j + s*u and give s.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k - 465. Calculate x(-88).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k - 30. Let i be ((-3)\/(-9)*1)\/(6\/198). Let g be a(i). Solve p - 2*v = -3, -2*p - 2*v = -g*v for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 + 32*m + 28.\nAnswer: 4*(m + 1)*(m + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {s: 9, j: 7}.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34432054957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -235*r**3 - 454*r**2 + 8*r + 30. Let j(b) = 468*b**3 + 910*b**2 - 17*b - 65. Let h(l) = -6*j(l) - 13*w(l). Find the third derivative of h(k) wrt k.\nAnswer: 1482","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 0*h + 0*h**3 + 1\/112*h**8 + 0*h**6 + 0 + 0*h**7 + 8*h**2 + 0*h**5 + 1\/6*h**4. What is the second derivative of j(o) wrt o?\nAnswer: 60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 18*n**3 - 4887*n**2 + 2437*n + 520. Determine t(271).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (1 - 5)) + -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*(b*b*b**(-1)*b)\/b)\/b*b*b)\/(b\/(b\/b**(-3))))\/(b\/(b\/b**4)*b**(-1\/14)) assuming b is positive.\nAnswer: b**(29\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = w + 83 - 213, 4*w = -5*i + 514. Let t = w + 58. List the prime factors of t.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2. Let t(b) = 4 + b**2 - 4 + 4*b**2. Let k(w) = -6*g(w) + t(w). Let i(y) = -5*y**2 + 0*y**2 + 6*y**2. What is k(i(c))?\nAnswer: -c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 659490608 and 4256?\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m - 3*j + 2, -4*m + 4 - 22 = -2*j for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**5\/20 + 22*s**2. Let r(z) = 2*z**2. What is y(r(k))?\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -17.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*f - 1212 = 0, -t = -5*f + 262 + 154. Which is greater: -399 or t?\nAnswer: -399","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46907575 to the nearest integer?\nAnswer: 6849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4d768 (base 16) in base 3?\nAnswer: 121010020102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6*q - 25 = 0. Suppose -4*d + 1 = -3. Solve -q + d = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6c7 + -41?\nAnswer: -708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**4 + 2*h + 2. Let f(v) = -345*v**4 - 184*v**2 - 16*v - 16. Let c(x) = -3*f(x) - 24*m(x). Find the third derivative of c(r) wrt r.\nAnswer: 25416*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1*-1 - 43\/(-22) and ((-172)\/(-3010))\/(2\/(-3 - 884\/(-8))).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-608)\/(-4180)*(-18)\/(-30)*(-165)\/(-126).\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from joozz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 6 = 2*o. Let u = -1 + o. List the prime factors of u\/3 + 7\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 b when four letters picked without replacement from tvzttbbbtntt?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5*h - 32 = 0, -4*x - 2*h = 16 - 76. Suppose 0 = -x*u + 10*u + 9. Solve -16 = t + u*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - ((34 + -24 - 15) + -12)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 472.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 11011000?\nAnswer: -11011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 1 + 2)*3. Let k(d) = 6*d**3 + 3 - 2 - 3*d - 8*d**2 - 2*d + 5*d**3. Let m(c) = 5*c**3 - 4*c**2 - 2*c. Let z(x) = -4*k(x) + 9*m(x). Determine z(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2299))*1 - -2*(5 + (sqrt(19) - sqrt(19)*2)).\nAnswer: 8 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 295 from -60551699.\nAnswer: -60551994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*o = 67*o - 20. Solve -r = -o*r + 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 80 = 2*w, -q + 5*q = 5*w - 155. Sort q, 1, -4, 2 in ascending order.\nAnswer: q, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 6*b**2 + 10*b**2 + 9 - 37*b**2 + 11*b**2 - 11*b. Let c(x) = 5*x**2 + 5*x - 4. Calculate 9*c(z) + 4*d(z).\nAnswer: 5*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 3*c - 4*u - 61, c + 4*u = 47. Let y = -74 + c. Let x = y - -237\/5. Is x at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17308*o*p**3 - 446*o*p - 6310781*o wrt p?\nAnswer: -51924*o*p**2 - 446*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 9}. What is prob of picking 3 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -800\/7 at most -115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 0 + m - 7\/2*m**2 + 2\/3*m**3. List the prime factors of z(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 4)*(0*p - 2*p + 6*p) - 72*p - 2 + 82*p - 10.\nAnswer: 2*p - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 50067 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 425 and 224317250?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -1165*s - 599. Let t(h) = -2337*h - 1198. Let p(q) = -7*a(q) + 4*t(q). Find the first derivative of p(c) wrt c.\nAnswer: -1193","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21112200100 (base 3) in base 7?\nAnswer: -1155615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (12 - -3) - (-9 - (-4 + -5))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (-14 + -13 + 17)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 627653 = -13183*n + 1893221 for n.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-10) - 3\/(-5). Let f = -3 - q. Which is the smallest value? (a) -0.5 (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35\/37 + -1329\/740. Let a = -1\/4 - i. Let -a*k**2 + 3\/5*k + 1\/5*k**3 - 1\/5 = 0. Calculate k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11094 = 2*z + 4*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cj when two letters picked without replacement from {j: 2, c: 1, m: 1, r: 1, g: 1, i: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -102 + 101. Let i(k) = -40*k + 2. Let t be i(-6). Let q = t + -1933\/8. Which is the second biggest value? (a) q (b) s (c) -4 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 26768, 54284, 81790, 109280, 136748?\n\"Answer: -k**3 + k**2 + 27520*k - 752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 55*r**2 + 35*r - 11. Suppose 3*s - 22*s = 114. Is d(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47107*t**2 - 157322*t**2 - 102554*t**2 + 5071*t**2 - 228805*t**2.\nAnswer: -530717*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 167*c - 11832. What is u(71)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13298146 a multiple of 235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30285000?\nAnswer: 2, 3, 5, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*w = -5. Solve 0 = w*z + 4 - 19 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 468 - 462. What is the common denominator of (66\/4)\/((-65)\/2) and ((-4)\/48*f)\/((-5)\/(-34))?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 13*j**2 + 24*j - 1. Does 33 divide h(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*g + 65*g + 14*g**3 + 61*g.\nAnswer: 14*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rwr when three letters picked without replacement from {r: 4, y: 7, w: 1, j: 8}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 4:28 AM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*n = 67*n + 635 + 1726 + 2769 for n.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -120 (base 3) to base 12\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k + 10*k + 25 = 0. Let f be ((-4)\/k)\/((0 - 1)\/(-5)). Let i(o) = 3 + 45*o**2 - o**3 - 4 - 2*o - 49*o**2. Determine i(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1) + -4 + -2 + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -5092\/34213?\nAnswer: -5092\/34213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 divided by 12710?\nAnswer: -11\/2542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1097194*x**2 - 1097180*x**2 + 2194379*x**2.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-872 + 227*y + 1774 - 901)*(-y**3 + y**3 - y**3).\nAnswer: -227*y**4 - y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -51 (base 16) to base 3\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) - sqrt(475)*-2) + -3 + sqrt(475) + (sqrt(475) - (sqrt(475) - -5*(-1 + sqrt(475)))))**2.\nAnswer: -20*sqrt(19) + 479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b**2 + 7*b + 13. Let p be f(-2). Solve 4 + p = -5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/19)*d*d**(-23))\/((d*d**(-2\/39))\/d**(1\/17)) assuming d is positive.\nAnswer: d**(-290333\/12597)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - 4092\/(-220) - -5.\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b - 2*b - 2*b)*(-3 + 3 - 3)*(0 + 2 - 3)*(5 - 5 + 2*b**3) as q*b + y + m*b**4 + c*b**3 + w*b**2 and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1535 = -4*c - c. Suppose 2*g + c = 3*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16195619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**8\/252 - 26*j**7\/105 + 169*j**6\/30 - 2197*j**5\/45 - 21*j**2 + 4. Determine g, given that a(g) = 0.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 - 20. Let p be (-22 + 20)\/(-3 - -1). Which is the nearest to p? (a) -0.3 (b) t (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 173 + -82. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185964697 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: Suppose -2*x = 4*s - 6, -s + 87 = 2*x + 66. Calculate the remainder when 1676 is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -4a9?\nAnswer: 4a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 979 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 23357422 + -0.3?\nAnswer: 23357421.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 467 + 15. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1614*q**2 + 1620*q**2 - 3294*q**2)*(-q + 2*q + q) to the form v*q**3 + d*q + r*q**2 + h and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 + 3*q + q**3 - 30 - q - 7*q**3 to the form i + y*q + k*q**2 + a*q**3 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1289628*f + 14*f**3 - 1289628*f.\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) + -1 + sqrt(432) - sqrt(432))*-4)**2.\nAnswer: -384*sqrt(3) + 6928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28197 and 468.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbib when four letters picked without replacement from {b: 3, o: 2, i: 3, h: 1, u: 1, r: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 371*a**5\/60 - 7*a**4\/12 - 5*a**3\/6 - 129*a**2. What is the units digit of k(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 197152734 by 6.\nAnswer: 32858789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 4*r + 4. Let c be j(-5). Let o be 3 + 0 - (-1)\/c. Let h(q) = 3*q - 6*q + 5*q**2 - 3*q**2 + q. Give h(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8505 = -237*s - 78*s. Solve 5*r + 3*z + s = 0, 5*r - 3*z - 27 + 30 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus -13292.42?\nAnswer: 13288.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.428 - -2.4264432. Round d to 4 decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**2 + n + 0*n + 2*n**2 + n**3 - 1 - 2*n**2. Let r be l(2). What is the nearest to r in 3, 1\/4, 0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**3 - a**2 - a - 4. What is u(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6979775, 6979782, 6979793, 6979808, 6979827, 6979850, 6979877?\nAnswer: 6979908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/9 + (-4)\/(-3). Solve o*m = -2*l + 2*m - 8, 4*l = 3*m + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzbkugggbuwg. What is prob of sequence bu?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1154836?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 820726 is divided by 475?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35926124 = 555*h + 35976629 for h.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 8*s**4\/3 + 232*s**3 + 347*s**2\/4 + 65*s\/6 + 4862. Factor c(g).\nAnswer: (g + 65)*(8*g + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -333?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 12, r: 3, b: 2}. Give prob of sequence rbub.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443 is divided by 142?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5*b + 7*b**2 + 0*b - 3*b + 2 - 3. Calculate the remainder when n(-2) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 0. Let o(k) = 251 - 113 - 45 - 90 + 5*k**2 - 2*k. Let w(b) = -b + 1. Determine g*w(p) + o(p).\nAnswer: 5*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 0. What are the prime factors of u\/6*2 - -14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 1105*b - 135*b - 12 + 13.\nAnswer: 970*b - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**5 - p**5 - 2*p**5 + 2*p**5 - p**5 - 2*p**5 + (3*p**3 + p**3 - 3*p**3)*(0*p**2 + 3*p**2 + p**2).\nAnswer: 4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*b + 40 = -14*b. Let o(m) = m**2 + 14*m + 49. Let h be o(-7). Solve -8*y + h*y = -b for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/150)\/(2\/(-6)). Which is the second smallest value? (a) 0.4 (b) g (c) -4 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 33*y + 6934 - 103 = 0. Calculate the remainder when 2300 is divided by y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303*c - 3011 = 3655 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 4313201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -35567 - -2?\nAnswer: -35565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 18 = 4*x, -12 - 4 = -4*r + 3*x. Let u(a) = 42*a - 6. Is 3 a factor of u(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - (12 - 22)) + -22.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3*4\/20)\/(14\/(-70)). Sort -0.7, 0.14, r in descending order.\nAnswer: 0.14, -0.7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 10*b**2 + 4*b. Does 20 divide w(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1976316233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.06, -1, -16\/7, -2\/25209?\nAnswer: -2\/25209","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-440)*10*2*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/20290 and 121\/77940.\nAnswer: 158140260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*f - 5*i, -71309*f + 71312*f + 15 = -3*i for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -17.98. Let d = t - 0.08. Which is the nearest to 2\/9? (a) 2\/3 (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 9*m)*(-4*m + 2*m + 3*m) + 4*m**2 - 5*m**2 + 2*m**2 + (4 - 2 + 0)*(-2*m**2 + 2*m**2 + m**2) in the form i*m + y*m**2 + g and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4894*s + 40. Let r be u(2). Let b = -3085 + r. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5118882 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 364\/(-26)*(-2)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00846 rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.1 + -1.1. Put s, -2, -1 in decreasing order.\nAnswer: s, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 f when two letters picked without replacement from {e: 1, l: 1, r: 1, f: 5, q: 3}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3 = -5*x, -4*h - 3*x + 933 - 946 = 0. Let p(s) = s**3 - s**2. Let m(g) = 14*g**3 + 4*g**2. Calculate h*p(r) - m(r).\nAnswer: -18*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**1)**(8\/7)*(a**(10\/3)*a)**(-3\/7) assuming a is positive.\nAnswer: a**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(-5*sqrt(72)).\nAnswer: -sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mf when two letters picked without replacement from fcfmfcc.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 456 and 1482.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.0078 to one dp.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**4 + 8*b**2 - 5*b**2 + b**4 - 4*b)*(-b + 0*b - b).\nAnswer: -2*b**5 - 6*b**3 + 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 2328 divide 1479520824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*l - 92 = 0, 0 = -4*p + 2*l + 2*l + 160. Let r(w) = p*w + 41 - 50*w + 7 - 1. What is the hundreds digit of r(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/202022 and -5\/2?\nAnswer: 202022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2678987 is divided by 2418?\nAnswer: 2261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -35. Suppose 0 = -3*g - 5*f + a, 2*g + 2*f + 12 = 4*g. Suppose -2*j - 3*t + g*t = -109, 2*j = -4*t + 144. List the prime factors of j.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -3. Let n be (-2)\/1 - (-40)\/18. What is the nearest to 1 in v, -2\/11, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d7 + 9?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 12*m + 10. Calculate the least common multiple of 3 and j(-16).\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6 = -56. Let z = -704 + 737. Let k = z + l. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*p + 2*y = -116*p + 8, -5*p - 16 = -4*y. Suppose -2*g**4 + 2*g**2 + p*g + 2\/3*g**5 + 0 - 2\/3*g**3 = 0. What is g?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53386*f**2 + 143804.\nAnswer: 106772*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12.7? (a) 8 (b) -0.4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -1*(sqrt(110)*4)\/sqrt(10))*-2)**2.\nAnswer: -96*sqrt(11) + 740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.44 (b) 4 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(3\/4)*o*o*o)\/o**(-1\/3))**(-18) assuming o is positive.\nAnswer: o**(-147\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 830 - 828. Calculate the remainder when 15*(14\/6 + -2) is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rx when two letters picked without replacement from qrmmqqqqxm?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2671651993 to the nearest integer?\nAnswer: 1388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-10) + 2222\/1155*3\/6. Factor 2\/21*k**3 - 4\/7*k**2 - v + 8\/7*k.\nAnswer: 2*(k - 2)**3\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 8*z**2 + z + 5. Let j be b(-8). Let m be (0*1\/j)\/2. Solve 0*i - 5*i - 15 = m for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/27 and -137\/174?\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -31 - 26*n + 96 - 32 - 31. Let s(v) = -2*v. Determine s(p(w)).\nAnswer: 52*w - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -n + 8. Suppose n*i + i = 112500000. Suppose -2*h - 3*h = -i. Round h to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x + x + 2*x**4 + (-2 + 2 - 2*x**3 + (-2*x - 1 + 1)*(-4 + 2*x**2 + 4) - 6*x**3 + 8 - 8 + 2*x**3 - 2*x**3 + x**3 - x**3 - 1 + 1)*(10*x + 2*x - x).\nAnswer: -130*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/((-10)\/25*-5)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -1313*c + 3. Let o(t) = -t**2. Determine y(o(m)).\nAnswer: 1313*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (837*f - 2398*f + 467*f)*(3*f + 0*f - 6*f) as g*f**2 + h + d*f and give g.\nAnswer: 3282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2036203 to the nearest integer?\nAnswer: 1427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 276 + -1 + 1\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5037 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1336166774 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2325 and 72540?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.59270453 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78*b*z**5 - 11803*b*z**3 - 14*b*z**2 + 11*b*z + 4*z**2 - 11*z + 43 wrt z?\nAnswer: 4680*b*z**2 - 70818*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34742040 and 4005.\nAnswer: 1335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 14*a = -65. Find the second derivative of -3*r + 20*r**3 + 97*r**2 - 97*r**2 - a*r wrt r.\nAnswer: 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u - 11 = -12*u. Let k = u - -8. What is the remainder when 28 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 2221\nAnswer: 888.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 421 a factor of 5940834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*o**3 - 20*o**3 - 30*o - 20*o**3 + 34*o**4 wrt o?\nAnswer: 408*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -3*m - 113, 25*z - 62*z = -35*z - 5*m + 39 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 163, 150, 137, 124?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 33*a**2 + 21*a + 37. Is j(-34) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 10*k + 68. Suppose -3*g = -j - j + 18, 5*g = -5*j - 5. Let n be x(g). What is the greatest common divisor of 140 and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1568*j**3*n*y + 59080*j**3*y - 29*j**3 - j**2*n - 23*j**2*y + 78*n*y + n - y wrt n?\nAnswer: -1568*j**3*y - j**2 + 78*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91 - 55. Suppose p = -2*s + y, -s - 54 = -4*s + 5*p. Suppose 0 = 4*d + l - 2*l - 33, d + 3*l - s = 0. Calculate the remainder when 23 is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 16*q + 35 = 12*q, -q = 5. List the prime factors of 35\/t + 14 - -617.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.1, 0, -6\/593?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -1\/10*u**5 + 0*u**3 + 35*u**2 + 3 + 5\/6*u**4 + u. What is the first derivative of y(x) wrt x?\nAnswer: -6*x**2 + 20*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18620 + 18772. Calculate the lowest common multiple of 418 and j.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)\/(sqrt(8)\/sqrt(4)) - (sqrt(15) - -5*sqrt(1500)))\/(-6*(sqrt(3) - (sqrt(3)*-4 + sqrt(3))) - sqrt(108)*6))**2.\nAnswer: 125\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 2 (c) -0.3 (d) -6\/13 (e) 60\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -17959\nAnswer: -4\/17959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248*k**2 + 124*k**2 + 129*k**2.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 111 = -603. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 149987*b**2 + 6*b - 51. Is h(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 602982 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5210722 + 97?\nAnswer: 5210809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 1:20 PM?\nAnswer: 319","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2 - 7*n - 19. Let w(v) = 2*v**2 + 6*v + 19. Let u(o) = -6*g(o) - 5*w(o). What are the prime factors of u(-10)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.568976 and 0.098.\nAnswer: -0.153759648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -340, -1365, -3074, -5467?\nAnswer: -8544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -247.9 + -9200844.2926.\nAnswer: -9201092.1926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + 1 + -1479 + 1456.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/861 - (-4)\/14?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75 and 876150.\nAnswer: 876150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 25 - 3*u**2 - 23*u + 21*u + 4*u**2. Is q(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2332021 - 5514?\nAnswer: -2340535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6344633 (base 7) to base 15\nAnswer: -10268e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.73 (b) -5 (c) 0.3 (d) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15.89 - 0.71. Let w = 679 + -695. Let r = v - w. What is r rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 + 0 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 2:42 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2. Let r(z) = 1165*z**2 - 24243. Determine r(i(o)).\nAnswer: 1165*o**4 - 24243","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2206 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 48883*n**2 + 21*n - 8. Let c be j(-10). Let y be (-16)\/64 + c\/8. Let p = y + -3241010. Round p to the nearest one hundred thousand.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 15 = 6*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = s - 1, 0*s - b + 4 = s. Suppose 12 = -10*r - 2*r. Let i be (-3 + 1)*(-12)\/(-8). Put i, s, r in increasing order.\nAnswer: i, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 311 - 24*m**2 + 330 - 759 - 49*m**2. Let w(b) = -2*b**2. What is w(x(j))?\nAnswer: -42632*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/4*h**2 + 2973*h - 2946243 = 0. What is h?\nAnswer: 1982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10006.\nAnswer: 2, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 h when three letters picked without replacement from hhszszsszhsshsz?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3a62660 (base 11) to base 13\nAnswer: 15b8893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7506 or 30023\/4?\nAnswer: 7506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 1. Let y be (4 - (-5 - -2))*14. Let z be 7*(-7)\/y - 3\/(-2). Let j(q) = q**2 - 2*q + 5. Determine z*j(d) - 2*l(d).\nAnswer: d**2 - 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**3 + 1057 - 1057.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56984?\nAnswer: 2, 17, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from cccececcceee?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 61?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 104 - 384*o**2 + 398*o**2 + 2*o**3 - 141 as k*o + b + s*o**2 + x*o**3 and give b.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12079 - -12324. Solve b = -43*h + 8*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m**2 + 159*m - 22. Calculate z(-41).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -25*b**3 + 7590*b**2 - 4535*b - 3030 = 0.\nAnswer: -2\/5, 1, 303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t = -11*t - 3. Let l be (2 - 0 - 3)*(14 - t). Let r(s) = -s**3 - 13*s**2 - 3*s - 9. What is the tens digit of r(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 452 times -3?\nAnswer: -1356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*h + 22, -3*p - 26 = -3*h - 2*p. Suppose 10*q = h*q + 51. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - 6*sqrt(15)\/sqrt(3))*4)**2 - (sqrt(80) + 4 + 0 + sqrt(80)).\nAnswer: -8*sqrt(5) + 1996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425363631?\nAnswer: 3, 7, 11, 1841401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, p: 5}. Give prob of picking 1 q and 2 p.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 97\/2*x**4 - 201*x**3 + 103*x**2 + 401\/2*x + 1\/2*x**5 - 303\/2 = 0.\nAnswer: -101, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (0 - 0) + -2 + (-2255 - -2243)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(136)*1)\/(sqrt(80)\/(sqrt(30)\/sqrt(3)))*-2.\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-5))\/1*5*18\/(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*g + 3*l, g - 4*l + 3*l - 6 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 7*g - 4. Calculate a(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42292 - 41872. Calculate the greatest common factor of 1428 and f.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**4 - 45*j**3 + 15*j**2 + 4*j?\nAnswer: -24*j - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352315495 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-3*sqrt(187) - sqrt(187)) + sqrt(187) - sqrt(187))\/((-2*sqrt(275) - sqrt(275)) + sqrt(11)) - (sqrt(102)\/(1*sqrt(6)) + 1 - 2*sqrt(51)\/sqrt(3)*-6).\nAnswer: -92*sqrt(17)\/7 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/(24192\/(-132))*(-8)\/(-22)\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63 - 31. Let i be 2\/(l\/36)*280. What is i rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1230538457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 348495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*12\/6*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 8*u - 20 = 0. Suppose -5*k - 7 - 8 = -3*n, 3*k - u*n + 25 = 0. Which is bigger: k or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.7169? (a) -4 (b) 4 (c) -2 (d) -0.1 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 67, 102, 137?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/807333, -3, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 649185 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -48, -212, -652, -1506, -2912, -5008, -7932, -11822?\n\"Answer: -23*x**3 - 3*x - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 16, 0.4, -426\/5, 4, 0.2 in ascending order.\nAnswer: -426\/5, -9, 0.2, 0.4, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 0. Let s = 1.0313 - 1.9313. What is the nearest to s in p, -1\/6, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/9 - 69\/(-9). Suppose -3*d = -f*d + 8. Let x be (-1 - 7\/(-2)) + (-12)\/(-24). Solve -d*q + 7 = -x for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 13*g**2 - 77*g - 4. What is the hundreds digit of i(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12721\/14 + 691703\/770. Let k be 0 + (-69)\/15 - 2. Let y = k - d. Calculate the common denominator of 47\/10 and y.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*o - 66*o - 56 = 0. Which is smaller: 15 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 5*f + 20, m + 2*f = -m - 8. Let h = -4.29 + 11.31. Let v = 7 - h. What is the closest to 1 in m, 3, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -157 (base 8) to base 14.\nAnswer: -7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 92. Let i = -73 - o. Let d(l) = 0 + 1 + 3 + 7*l. Let f(a) = -13*a - 7. Determine i*d(v) - 6*f(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3) - 15\/((-810)\/252)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 t, and 1 c when three letters picked without replacement from {h: 1, z: 3, t: 2, c: 10}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 87*((-203)\/(-42))\/29.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f**4 - 1161*f**3 + 137*f**2 + 1161*f - 145 = 0. What is f?\nAnswer: -1, 1\/8, 1, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1377?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2042*b = -455*b - 5233*b - 30920 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 12:01 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 c when three letters picked without replacement from {a: 4, u: 3, c: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 90388 or 3\/83?\nAnswer: 90388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3304607*l**3*y + 78*l**3 - l**2*y - 1154*l**2 - 21*l*y - 4*l - 13*y + 4 wrt l?\nAnswer: -19827642*y + 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2*h**2)*(-2*h - 2*h**2 + 2*h) + 29868 - 29868 - 11*h**4 to u*h**4 + i*h + o + a*h**2 + x*h**3 and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 o when two letters picked without replacement from uuouomaumuugouuuu.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2601 and 765?\nAnswer: 13005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17337.84006 - 17338. Round n to 2 decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 79692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*x**2 - 147 - 62*x**2 - 147 - 2*x + x + 309 as t + n*x**2 + v*x and give n.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -73*p + 511. Let z be w(7). Which is the biggest value? (a) z (b) -28 (c) -3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((((u**(-2\/3)*u)\/u)\/u)\/u))\/(u\/u**(-2\/7)))\/((u**(2\/9)\/u)\/u**(-2\/5)) assuming u is positive.\nAnswer: u**(869\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = t - 2*a, -3*a + 8 = -4*t + 79. Suppose -t*l + 5019 + 12383 = 0. Does 31 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18349*b**3 + 14 + 9175*b**3 + 9184*b**3 + 51*b + 18*b**4 + 4*b**2 wrt b.\nAnswer: 216*b**2 + 60*b + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbh when three letters picked without replacement from pkppbbbhppbbbspbpkb.\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p + 2. Let a be (-6)\/(-9) + 2\/6. Let w = -2 - a. Calculate the remainder when 32 is divided by l(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 196*i**3 - 35 - 372 - 137 + 392*i**3 wrt i?\nAnswer: 1764*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + z = -z + 12, 7 = 3*f + z. Suppose q + 759 - 762 = 0. What is the third derivative of 14*u**3 + 38*u**3 - 2*u**f + q*u**2 - 19 - 3*u**2 wrt u?\nAnswer: 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 2 + 6. Calculate the remainder when g is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 116*b - 112*b - 5*b. Let x(l) = -333*l**2. What is i(x(g))?\nAnswer: 333*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6415760.\nAnswer: 2, 5, 13, 31, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ururruurur. What is prob of picking 1 u and 3 r?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -286604389, -286604388, -286604387, -286604386, -286604385?\nAnswer: -286604384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 0, 2*c - 25 - 3 = 3*t. Let l be 2\/c*(0 + 12821). Let d = l + -1828. Find the common denominator of d and -59\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6972 and 40.\nAnswer: 69720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 5221961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 4*a + 4. Let h(d) = -4*d**3 - d**2. Let z(x) = -x**3 + 4*x**2 + x - 3. Let q be z(4). Let o be h(q). Let s = o - -2. What is u(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 1457 - 767 = 0. Suppose -4*t + 3*u + 446 = 0, 0*t - 3*u - x = -5*t. Suppose -70 = -3*d + 4*y, t = 4*d - 2*y + 5*y. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14789 (base 13) to base 11.\nAnswer: 27042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 4*w + 8, 0*d + 4*d - 16 = -2*w. Let p be ((-18)\/4)\/(-3)*6. Solve -d*x + 1 = p for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbt. Give prob of sequence kt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3301 - 3301. Let v(q) be the third derivative of 1\/270*q**5 + 13*q**2 + y*q - 1\/54*q**4 + 0*q**3 + 0. Factor v(x).\nAnswer: 2*x*(x - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/5)\/(-4*(-5)\/(-50))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 5*n + 2. Let z be c(-5). Let k = 162 - 157. Solve -v + 2 = -z*h - 4, h = -k*v - 14 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*o - 273 = 192 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-192)*6*(-189 - -45)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ten ninths of a week in minutes?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47.24 - -47.34. Which is the closest to 1\/7? (a) -1 (b) f (c) -7 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 458.38 to the nearest ten.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3e + -3448?\nAnswer: -3409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 5*z**2 + 4*z - 2. Let k be x(6). Let a = k - -24. Let i = a + -4. What is the lowest common multiple of i and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c - 7. Let u be q(6). Let r(j) = j**2 + 5*j + 2. Let d be r(-6). Let g = d + -4. Solve 3*w - 6 = u*n - g, 2*n = -3*w - 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*w - 45 = -w, 155 = 5*l + w. Calculate the lowest common multiple of l and 4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.4 less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/15478175 and 23\/82185?\nAnswer: 46434525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + q + 3. Let f be n(3). Let l = 2 - -3. Suppose -4*j = -l*x + 29, -4 = 3*x - 4*j - f. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, b: 2}. What is prob of picking 2 b?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*l + 19 = -33 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/4))**(-38)\/(h\/h**(-1))**(-13)*(h*h**(3\/7)\/h*h)\/(h**(2\/5)\/h)*h\/((h*(h**(2\/3)\/h)\/h)\/h)*h*h**(-6) assuming h is positive.\nAnswer: h**(3331\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence adxd when four letters picked without replacement from {l: 6, p: 1, x: 5, d: 3, a: 2}?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 327.49 - 327.4872058. What is c rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*i - 17*i + 46. Which is smaller: i or -379?\nAnswer: -379","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 7*r + 5. Let m be g(7). Let v = -16779 - -16775. Which is the closest to v? (a) m (b) 0.4 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, -44, -124, -182, -212?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-36)\/(-70))\/(63\/(-30)). Let j = 9\/49 - o. Suppose 0*d**3 - 6\/7*d**2 + 0 + 3\/7*d - j*d**5 + 6\/7*d**4 = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -185 - -182.42. Let z = i + 4.05. Round z to 1 decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1136422 is divided by 12219.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(-1\/20)\/s)\/s)\/s)\/s)\/(s*s*s\/(s**(-12)*s*s)*s) assuming s is positive.\nAnswer: s**(-361\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -489*g**2 + 21*g + 42. Let b(s) = -49*s**2 + 2*s + 4. Give -21*b(f) + 2*n(f).\nAnswer: 51*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifteenth of a century?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 23*y**2 - 4*y + 3. Let v be d(2). Calculate the highest common factor of v and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 143655124*b - 244555189 wrt b.\nAnswer: 143655124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 8 + 5)*(0*s**2 + s**2 + 0*s**2)*(s + 2*s - s + (-4*s + s + s)*(5 - 2 + 0)).\nAnswer: 48*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/28 - -1\/7. Determine f so that 0*f**3 - l*f**4 + 3\/4*f**2 + 0 + 1\/2*f = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 9*v. Let g(u) = -1947*u**2. What is r(g(c))?\nAnswer: -17523*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8549549*z**2 - 4659646*z wrt z.\nAnswer: -17099098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*v - 13*v = -15*v + 300 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 15711*g - 6630044. Determine o(422).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -1 - 4*b**2 + 2*b**3 + 1 + 5*b**2. Let d be h(1). Let q = 2 + d. Put q, 1, -3 in decreasing order.\nAnswer: q, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6732738 - -6732738.29599624. Let b = c + -1.57598634. Let n = 1.28 + b. Round n to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22013 (base 14) to base 2.\nAnswer: 10100000110100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -41. Suppose i + y = 5*j + 2*i, -4*j + 2*i + 30 = 0. Let c = j + 0. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33 - 15) + 11 - (-164 - -118).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000112504 to 7 dps.\nAnswer: 0.0001125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -8*o**2 + 3*o**2 - 6*o**2 + o**2. Suppose -3*v = -0*v - 6. Let m(d) = d**2 + 3*d**v - 2*d**2. Give m(k(t)).\nAnswer: 200*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -1273*q - 15. Let p(c) = 6366*c + 80. Let n(j) = -16*m(j) - 3*p(j). Let l(x) = 2*x. Give l(n(y)).\nAnswer: 2540*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -36 (b) 0.2 (c) 1\/6 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by -1*(-3 + -2) - -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -0*u + u + 12, -4*u = 5*s + 51. Let l be (-7)\/(-1 - (-6)\/4). Is 4\/u + (-88)\/l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 5*l - 14 - 11, -3*l + 3*r = 3. Solve 0*h + 2*h + 5*c = -6, 0 = -h - l*c - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from mddkmk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*0.1996.\nAnswer: 0.998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + s = -11, 7*r + 70 = -s + 51 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -129 - -3\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125.2 + 0.5.\nAnswer: -124.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -4*o - 15, 0 = -3*o + 8*o - 2*c + 18 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*w + 150*w - 2030 = 0. What is the remainder when (0 - -60) + -1 + 1 is divided by w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -809, 44.\nAnswer: -809, -5, -3, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5*f - 7 - 27, -2*f + 4*w = 4. What is the remainder when 10 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4545158461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/27677 and 76\/31935.\nAnswer: 415155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b**5 + 396*b**4 + 4236*b**3 - 8874*b**2 + 3561*b + 702 = 0. Calculate b.\nAnswer: -9, -1\/7, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 0*z**2 - 2*z**2. Suppose 3*k = 2*n + 12, -3*n = -2*k - 6*n - 5. Let l(o) = 2*o**k + 0*o**2 + 0*o**2 - o**2. Determine l(m(y)).\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-28)\/24)\/(54\/(-36)))\/((-2)\/6).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-21))\/((-2)\/14). Suppose u - 9 = -2*j, -5*u + r*u + 12 = 3*j. Suppose -j*o + 3 = -27. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(24)\/sqrt(3)))\/sqrt(3).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -474*h**3 - 14*h**2 + 3806*h**3 + 14*h**2 - h.\nAnswer: 3332*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 346*c + 184*c - 230.\nAnswer: 530*c - 230","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/4 - -1\/4. Let d = 27.4 - 27. Let o = -3154 + 3156. What is the closest to d in o, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -11\/24*l**4 - 1\/6*l**3 + 2*l**2 + 0*l + 0. Let h be x(0). Do 2\/269 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 17*a**3 - 3*a. Let v(x) = -9*x**3 + 2*x. Calculate 6*d(b) + 10*v(b).\nAnswer: 12*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2131 divided by 30956\nAnswer: 2131\/30956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lltrrrrlut. Give prob of sequence trll.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65.81594g to nanograms.\nAnswer: 65815940000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l**3 - 7896430*l**2 - 35713232 with respect to l.\nAnswer: -6*l**2 - 15792860*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35084 is divided by 1245.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(2) + 2) - (sqrt(32)*4)**2.\nAnswer: -518 - 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 56 in 2\/5, -2\/31, -2\/13, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6b0 (base 12) to base 4.\nAnswer: -33210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -8*u + 2. Let r(j) = -1149*j**2. Give r(q(i)).\nAnswer: -73536*i**2 + 36768*i - 4596","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -7031?\nAnswer: -7031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -j - 167*v + 163*v, -4*j + 24 = 4*v for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*v**2*y**3 - 2708*v**2*y**2 + 54*v**2 - 264*v*y**3 + 2115*y**3 + 47 wrt y?\nAnswer: 12*v**2 - 1584*v + 12690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - a?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26.23 + 2124.23. Let g = s + -2098.1591. Round g to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 6*b - 5*b. What is the lowest common multiple of 20 and b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 202384?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000722718 to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-145 + 79 - -61) + 63.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b - 12. Suppose -43 - 1 = -4*t. Let k be d(t). Let g(w) = -w**3 + w**2 + 1. Let h(y) = -4*y**3 + 3*y**2 + 3. Give k*h(i) + 3*g(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25097, 24423, 23315, 21785, 19845, 17507, 14783, 11685?\n\"Answer: 2*y**3 - 229*y**2 - y + 25325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 58*i - 143. Is 8 a factor of y(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 1. Let d(f) = -5*f**2 - 4*f - 8*f + 0 - 12 + 3. Let v(u) = 4*a(u) + d(u). Give v(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3127757753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 1. Let g(j) = 2*j**2 + 4. Suppose 154 = -31*d + 9*d. What is d*x(u) - 2*g(u)?\nAnswer: 3*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + -23 - 56) + 12 + (7 - 0).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*g**3 + 46*g**3 + 29*g**3 + 26*g**3 - 62*g**3.\nAnswer: 92*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/129 and 17\/11.\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*2\/1 - -3. Let b = c + 1. Suppose -5*o + b = -3. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46 + -7\/2. What is the common denominator of 71\/9 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**2 - 15*r - 6. Let k(o) = -7*o**2 - 33*o - 13. Let i(a) = 2*k(a) - 5*w(a). Calculate i(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 218380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 30360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8247 divided by -2749\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.2 + -30.4. Let o = v - -15.2. Sort -0.01, o, 1, -1.1.\nAnswer: o, -1.1, -0.01, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -148*0.1737\nAnswer: -25.7076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -10.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1059884548 less than or equal to -1059884547?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4937 + -4437. Suppose 2*v = -3*v + 6535. Let t = v - o. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 45.62931us?\nAnswer: 0.00004562931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1147*s - 1147*s - 2*s**2 + 0*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 228\/11? (a) 0.12 (b) -0.19 (c) 3 (d) 2 (e) 64 (f) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11 - 8*s**2 + 11 + (-s + 0 + 0)*(s - 1 + 1) - 3*s + 2*s**2 + 3*s + (0 + 0 - 8)*(2*s**2 - s**2 - 3*s**2) + 0*s + 0*s - s**2.\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 26461788?\nAnswer: 26461785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 906, 1216, 1738, 2490, 3490, 4756, 6306?\n\"Answer: 3*j**3 + 88*j**2 + 25*j + 790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.26 - -1.46. Let d = -0.02 - 0.28. Sort d, t, 5, -3 in ascending order.\nAnswer: -3, d, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, t: 1, o: 5, d: 4, k: 5, h: 1}. What is prob of sequence odht?\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*c - 290 = -25*c. What is the nearest to 0 in -1, c, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -620 = -4*j - y + 185, 0 = -5*j + 2*y + 1016. Suppose 206*z = j*z + 1180. What are the prime factors of z?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-8)*2 - (-2)\/8. Let f(k) be the third derivative of 1\/60*k**5 + 0*k**4 - 1\/6*k**3 + r*k + 1\/40*k**6 + 0 - k**2. Calculate f(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31)\/5 + (-3)\/(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 277, 1162, 2909, 5740, 9877, 15542, 22957, 32344?\nAnswer: 43925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21622 is divided by 1275.\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - 1 - 1 + 267*c**2 - 133*c**3 - 21*c**3.\nAnswer: -154*c**3 + 267*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*d + 248 = n, -1 = 4*n - 9 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 45. What is the highest common factor of a and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-36)*518\/(-1036)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*n + 428*n = 749*n + 552 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -175 + 1223\/7. Let g = 130 - 134. Let f be 10\/12 + g\/24. Which is the nearest to 0? (a) f (b) d (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*m + 26565 - 1758 = 804*m - 16152 for m.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/749 at least 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000219730317 to 6 decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 464293?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 18*l**2 + 10*l - 13. Let o(j) = -2*j**2 + 7*j - 5. Let v be o(5). Is s(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 765 = 36*u + 441 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7279*l = 36013 + 174937 + 36536 for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -111122301010102?\nAnswer: -111122301010112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5684 - -17516. What are the prime factors of i?\nAnswer: 2, 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -5 - 0. Let p be ((-6)\/(-105))\/(3\/5). What is the nearest to n in p, 0.5, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9383303 + -16783303. What is v rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3022 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -5*i - 6 + 2*i**2 + i**2 + 0*i**2 + 8*i = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 9 = 3*i - 3, 0 = -3*r. Let w be (-1 + -7 + i)*-4. Let x = -5 + w. What is the remainder when 18 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p**3 - 2*p**3 - p**3 + 31 + 9*p**3 - 31 + (3*p**2 - p**2 + 0*p**2)*(12 - p - 12).\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t - 7*t + 17*t - 2*t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5\/4 of a microsecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 2:47 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**2 - 8*g. Suppose 6*j = j. Let v(x) = 2*x**2 - x - 4*x + j*x + 0*x. Let o = 6875 - 6883. Determine o*v(a) + 5*t(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5\/6)*(b*(b*b\/(b\/(b*b*b\/b**(-6)))*b)\/b*b)\/b)**(1\/74) assuming b is positive.\nAnswer: b**(61\/444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 37871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 14 = a. Suppose 2*n - a*n + 5800 = 0. What is n rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s + 2. Let o(l) = -4*l**2. Let y(z) = -13*z**2 + 39. Let q(d) = 3*o(d) - y(d). Let c be q(6). What is p(c)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70 + (-36 - 1 - -15)\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8494945.2 rounded to the nearest one hundred thousand?\nAnswer: -8500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154005 and 645.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 80956283 to the power of 1\/2, to the nearest integer?\nAnswer: 8998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + k + 3. Let f be v(3). Which is the third smallest value? (a) -4 (b) 1\/3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1428114116 to the nearest integer?\nAnswer: 37790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 17\/2. Let w = 2.39 - 0.19. Let n = 2 - w. What is the closest to i in -3\/5, 5, n?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 6*m**3 - 5*m**2 + 4*m - 3. Let q be y(3). Suppose 0*d + n - 83 = -2*d, q = 3*d + 2*n. Suppose 3*f = -2*f + d. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219\/5 - 6\/5*t**2 + 87*t = 0.\nAnswer: -1\/2, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121826, 123509, 125192, 126875, 128558?\nAnswer: 130241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/9)*c*c**(2\/17))**(3\/10)\/(c**(-3\/2)\/(c*c*c**(-2)\/c)*c**(5\/6)\/(((c*c**(-4\/3))\/c)\/c)) assuming c is positive.\nAnswer: c**(-586\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18\/11 + 61\/44. Is x at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 8*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -11\/6, 0.5, -43, -16, -2 in increasing order.\nAnswer: -43, -16, -2, -11\/6, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2779 - 149336.37.\nAnswer: -149336.0921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 - 133*r + 848. Calculate l(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 12*w**2 + 46*w + 91. What is the remainder when 234 is divided by s(-2)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 558528 and 558543 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 35*y**2 - 14*y + 84. Let i(m) = -2*m**2 + m - 6. Let j(u) = f(u) + 14*i(u). Let h(k) = -63*k. Give h(j(z)).\nAnswer: -441*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -1. Suppose -2 = -m - q, -m + 3*q + 10 = -0*m. Let c(a) = 2*a + 1. Let x be 0 - 14\/(-42) - (-4)\/6. Calculate m*p(o) + x*c(o).\nAnswer: 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/18*8\/(64\/(-18)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 s when two letters picked without replacement from ttotosssots?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 73556 - 13161?\nAnswer: 60385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17788 - -25485. List the prime factors of x.\nAnswer: 43, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-20) - 13\/4. What is the units digit of (2\/6)\/((-1)\/t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) -8\/9 (c) 169\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8\/49 + 86\/1127. Let m = 179\/10730 + 3\/290. Let f = 41\/148 - m. What is the smallest value in -7, i, f?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 442*o - 5 + 6.\nAnswer: -442*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(6\/13)\/k)\/k**(-2\/3)*(k**3*k)**(1\/45) assuming k is positive.\nAnswer: k**(127\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, g: 1, n: 2}. What is prob of picking 2 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 6 (b) 1\/9 (c) 2 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 13*y**2 + 14*y - 56. Let p(f) = 14*f**2 + 15*f - 54. Let r(o) = -2*p(o) + 3*w(o). What are the prime factors of r(-8)?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + l + 0*l + 71 = -18*m, 0 = -4*l + 16 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1400412787?\nAnswer: 3343, 418909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of t**5\/20 - t**4\/3 - t**3\/6 - 5*t**2\/2 + t. Suppose -19 = -4*f - 3*h, -2*h - 15 = -3*f - 5*h. Calculate b(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (123\/(-1107))\/((-96)\/(-270))\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 689 and 93021890.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -12174803.\nAnswer: -5\/12174803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 15*j - 5. Let f be t(3). Suppose -5*c + 1025 = 5*b, -b - 318 = -c - 123. Calculate the greatest common divisor of c and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 0, -232 in increasing order.\nAnswer: -232, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1539.102 minutes to hours.\nAnswer: 25.6517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -71.67 - 2007\nAnswer: -2078.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 223965 and 5265.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 19)\/4*30\/24. Put 30, 3, f in descending order.\nAnswer: 30, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iriir. Give prob of picking 2 i and 2 r.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -2, 7, 22, 43?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 7 + 3 = 0. Suppose 4*m + 4*p - 48 = 0, -q*m + 3*m = 4*p - 32. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3416.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 - 5*w**3 - w**3 + 23228 + 2*w - 23215 + w**3 - 4*w in the form i*w + b*w**2 + q + h*w**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10048 (base 9) in base 13?\nAnswer: 3011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by (9\/(-54))\/((-3354)\/1116 - -3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, m: 3, v: 1, z: 4, t: 3, b: 5}. What is prob of sequence btm?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of n**5\/60 - 7*n**4\/12 - 14*n**3\/3 + 8*n**2 + 66*n + 5. Suppose 80 = 4*o + o. Calculate t(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -50144, -50127, -50114, -50105?\n\"Answer: -2*z**2 + 23*z - 50165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -101*f**3 + 6*f**2 + 13*f + 8. Let c be s(-8). Round c to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-24)\/(-64))\/(((-180)\/(-25))\/12).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/20 and -107\/9284.\nAnswer: 46420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millimeter in micrometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 2. Let i(b) = -b**3 + 6*b**2 + 8*b - 7. Let j(z) = -23*z + 3*z**3 - z**2 - 3*z**2 + 20 - 13*z**2. Calculate w*j(t) - 17*i(t).\nAnswer: -t**3 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 5*m**2 - 18*m. What is the units digit of a(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**2 + 127717*u + 638560 = 0. Calculate u.\nAnswer: -127712, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9981, 10058, 10135?\n\"Answer: 77*w + 9904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10617 - -23190. Round u to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-800)\/(-500))\/(2*2\/40)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2610\/7 + 20977\/56. Calculate the common denominator of -71\/22 and p.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53\/2 + 8\/(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 12 = 5*g, 37*g = 33*g + 3*k + 14 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -3*n**4\/4 + n**3\/3 + 2*n + 247. Give t(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -147817*w + 288655*w - 150586*w as i*w + o and give i.\nAnswer: -9748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g - 2252064 = -2252949 for g.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 182, 178, 164, 134, 82, 2?\n\"Answer: -s**3 + s**2 + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31850 and 550.\nAnswer: 350350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60367 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -262 - -260.03. Let v = m - -1.9699348. What is v rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7624395 divided by 35.\nAnswer: -1524879\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -51 + (-12 - -27)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4\/5)\/h*h)\/(h*h**(3\/2)) assuming h is positive.\nAnswer: h**(-33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -779, -746, -711, -674, -635, -594, -551?\n\"Answer: j**2 + 30*j - 810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -v**3\/18 + 437*v**2\/6 - 190969*v\/6 + 300. Suppose c(h) = 0. Calculate h.\nAnswer: 437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.4 or -37?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9882.698 - -9894. Let c = t + -11.2. What is c rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111602 = 2471*g - 21863 - 14795 for g.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**7\/420 + l**4\/4 + l**3 - 6. Let w(i) be the third derivative of v(i). Find the first derivative of w(h) wrt h.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234780 + o**2 - 234780 - 59*o.\nAnswer: o**2 - 59*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5*c - 13. Let g be f(-3). What is the smallest value in 0.3, g, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 655 and -189 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3299 times 2850?\nAnswer: 940.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 79658.68mg in nanograms?\nAnswer: 79658680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/1 - (190\/(-5) - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59125*x**3 + 22625*x wrt x?\nAnswer: 354750*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4, -23, -76, -181, -356, -619, -988?\n\"Answer: -3*g**3 + g**2 - g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250528384?\nAnswer: 2, 487, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 162984.069?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 56 - 111 + 55 - 32*y. Let z(f) = 3*f. Determine j(z(n)).\nAnswer: -96*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 - 31*c - 8. List the prime factors of q(18).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1*2 + (1 - -30 - 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -116.8 + 117. What is the nearest to 61 in -3\/4, 3\/2, j?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(405) - (1 + sqrt(405) + (sqrt(405) + 1 + sqrt(405) - sqrt(405)) + sqrt(405))))**2 + 4.\nAnswer: 1152*sqrt(5) + 25988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.055452681 and 4?\nAnswer: -0.221810724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 2*u - 2. Suppose -3*d + 0 = -5*j - 4, 5*j + 10 = 0. What is the lowest common multiple of h(6) and 55\/3 + d\/6?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (-1 - (-1 + 0)). Let b(u) = 753*u**2 + u + 5. Let o be b(z). Suppose 0 = 9*l - 12366 - o. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 2 = -4*t, 3*r + 1 = -4*t + 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.3, 0.5, 0.4, 2\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 6*t - 23. Let i be (1 - 3) + -1*t\/1. Solve i = z + 2*z - 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o = -5*d + 10, -4*o + 1724 = 5*d + 1747 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 346 * -10\nAnswer: -3460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -1 - (-1 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -237*i**2 + 4545*i - 798.\nAnswer: -3*(i - 19)*(79*i - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 - -54. Let x = i - 1. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((2*sqrt(3)*-5*-5 + (sqrt(1815)*-2 + sqrt(1815) - sqrt(1815))\/sqrt(5))**2 + -5) + 5.\nAnswer: -4689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 86 - 79. Suppose -2*p - 1 = -i*h + 4*h, -5*h = 2*p - 23. Let g(k) = -k**3 + 5*k**2 - 5*k - 1. What is g(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4193193869?\nAnswer: 4193193869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*i - 32*i - 31*i = -36. What is m in -10\/3*m + 35\/6*m**i + 5\/3*m**3 + 0 = 0?\nAnswer: -4, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-6) - (0 + -2). Let a be 12\/8*4\/n. Suppose -2*x + 2 + a = 0. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - z + 14 = -6160, u - 2*z - 1226 = 0. Let j = u - 789. Suppose -2*l + 7*l - j = 0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -108*o**2 + 12*o - 245. Let y(i) = 109*i**2 - 10*i + 246. Let f(k) = -5*m(k) - 6*y(k). What is the first derivative of f(q) wrt q?\nAnswer: -228*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 288414 + 524*s - 288414 + (0 - 4 + 2)*(-3*s + 6*s + s) - 3*s + s + 0*s as l + c*s and give c.\nAnswer: 514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 6:18 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -k**8\/1680 - k**7\/1050 + k**6\/24 - 7*k**5\/60 - k**4\/5 + 6*k**3\/5 - 6*k**2 - 1. Determine a so that b(a) = 0.\nAnswer: -6, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.486? (a) -0.29 (b) -0.25 (c) -0.03 (d) 5 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -68 (b) 0 (c) -75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17006, -34025, -51040, -68045, -85034, -102001, -118940, -135845?\nAnswer: -152710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 886*b + 39. Let n(y) = 443*y + 19. Let u(s) = -5*n(s) + 3*q(s). Differentiate u(f) wrt f.\nAnswer: 443","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, -1896, -5, -1\/4, -0.3, -3\/7, -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 - 3 = 9*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by 1108487.\nAnswer: -16\/1108487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 0*q = -85. Let n = 23 - q. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 - 3203312*g**2 + g + 3203312.\nAnswer: -(g - 1)*(g + 1)*(g + 3203312)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 57*v + 1141. Determine k(-20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 541386 divided by -3.\nAnswer: -180462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(1*(-2)\/6). Is (-1)\/((9\/(-267))\/d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence orz when three letters picked without replacement from {r: 3, z: 1, o: 1, c: 1, h: 7}?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 22313 (base 4) to base 15\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66 + (-10 - ((4 - -6 - 16) + 2)) + -13.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4271024 (base 8) to base 13.\nAnswer: -310525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 163 + -158. Which is the biggest value? (a) -5 (b) -0.04 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3731 divided by -3.\nAnswer: -3731\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 525, -5, 458 in decreasing order.\nAnswer: 525, 458, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9760016)\/10 + (-280)\/(-175). Round o to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4574 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1650386?\nAnswer: 2, 825193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 4 - 4\/3*x**3 + 6*x**2 - 8*x. Factor l(w).\nAnswer: -4*(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*s - s. Let t(u) be the third derivative of -1\/12*u**5 + 1\/12*u**4 + 1\/120*u**6 + 0*u - u**2 + 0 + 1\/3*u**3. Determine t(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppp. Give prob of picking 4 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.1423181 * -45\nAnswer: 6.4043145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27579*t + 27500*t - 237 = 0. Which is the closest to 6? (a) 2.9 (b) t (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(108*o**2 - 77*o**2 + 75*o**2).\nAnswer: 212*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 72*a - 2866*a - 410*a - 2433*a in the form v*a + o and give v.\nAnswer: -5637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 253 and 6.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1755 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4*p**2 - 6013*p + 3*p**2 - 2 + 8422*p.\nAnswer: -p**2 + 2409*p - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 27 = -9*y, -4*y - 9 = -3*s - 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 66 = 5*m, 0 = 4374*r - 4378*r - m - 10 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (27\/(-4))\/((-3)\/12). Let m = 66 - l. Let d = m - 28. Calculate the greatest common factor of 88 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 190\/799 (b) -127 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 120.7 + -130.4. Round y to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-3)*(-4 + 10). What is the remainder when 54 is divided by p*2*(5 - -2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03371 - 0.16629. Let r = -2 + 1.5. Sort r, -2, l, 1\/21 in decreasing order.\nAnswer: 1\/21, l, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -191, -80 in descending order.\nAnswer: 5, 2, -80, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/2)\/((y*y**(-13))\/y))**(-18) assuming y is positive.\nAnswer: y**(-225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-1 - 4 - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 2*i + 7*i + 11 = 0, 2*d - i = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28\/41 - 2061\/164. Calculate the common denominator of 63\/8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1151652.2 minus -233252?\nAnswer: 1384904.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/8)\/(4\/32). Let v = z - -15. Suppose 0 = 4*k, 3*l = -2*l - 5*k + v. Solve 3 = l*t - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101001100111111000100111 (base 2) in base 15?\nAnswer: e57e81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.12332*-0.11\nAnswer: -0.0135652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 c when two letters picked without replacement from {w: 3, c: 4, q: 2, a: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kdxmgmkmjdmk. What is prob of picking 1 k, 2 d, and 1 m?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 195850 to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*c**2 + c**2 - 4*c**2)*(-18 + 24*c + 18 + 2*c + 1 - 1 + (-4*c + 4*c + 2*c)*(-1 + 6 - 4)) as p*c + a + g*c**3 + n*c**2 and give g.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -17422*p**2 - 2 - 6*p**3 + 17425*p**2 + p - 1. Let v(f) = -f**3 + f**2 + f. Give -r(s) + 3*v(s).\nAnswer: 3*s**3 + 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*f = 3. Let b = f - -5. Suppose -b = -2*i, 4*i - 5 = s - 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qpqpqq. Give prob of sequence qpq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/6835374 and -191\/5070.\nAnswer: 34176870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 0*h - 6 = 0. Let b = -22044 - -22043. What is the biggest value in b, h, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -63127 = -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*o + 3. Suppose 0 = -x + 5*v - 18, -o*v + 0*v = -8. Find the third derivative of 8*r**5 - 8*r**5 + 6*r**2 - r**5 - x*r**5 wrt r.\nAnswer: -180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 7*t**3 - 25*t**2 + 33. Let i(g) = 8*g**3 - 33*g**2 - g + 34. Calculate 3*i(n) - 4*j(n).\nAnswer: -4*n**3 + n**2 - 3*n - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7259 - 145217\/20. Let j = 8\/5 + x. Which is the closest to 2\/11? (a) 0.4 (b) -0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/((-24)\/(-15))*4. Let p(v) = -3*v + v**2 - 2*v + u*v - 5. Let h be p(-4). Solve -4 - 6 = 2*k + 4*l, -3*k - 4*l - h = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -1590945*n**4\/8 + n**3\/2 - 3*n**2. Let y be s(-2). Let c = 19345673 - y. Round c to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 830830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 8157959, -5.\nAnswer: -5, -4, -3, 8157959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 8, r: 3}. Give prob of picking 3 z and 1 r.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143111?\nAnswer: 143111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (129*-1)\/3*1. Let f = p - -47. Suppose 560 = f*a + 148. What are the prime factors of a?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22044)\/999328)\/((-6)\/32).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -76\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from xxmxouuumouxmmxxo?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 17 = -5*a - 22, 30*a - n - 3 = 28*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(2\/5)\/(d*d\/d**(-1)))\/(d*d\/d**(-1\/4))**39)**46)**(-20) assuming d is positive.\nAnswer: d**83122","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/13 and 202\/(-5)*(-35)\/56.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 11:44 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**4 - 6*z**3 - 478*z**2 + 6*z + 476 = 0.\nAnswer: -14, -1, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*c = 10, 0 = -0*l - l - 5*c - 15. Let b be (-6)\/(((-21)\/(-2))\/(-7)). Solve -j + l = b*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 9:12 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3814, -2\/7, -11, 1\/2, -4, -3\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(-10 + 0)*(0 - 0). Solve 0 = -c*i + 5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -7 + 108*i - 108*i + 2*i**2. What are the prime factors of v(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 + 30.55. Let h = 6 - k. What is h rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-36)\/(-8)*(-6)\/(-9). Suppose 0 = -2*a - 3*y + 19, -y + w - 2 = 0. Calculate the least common multiple of 6 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**5 - 4620*d**4 + 1000580*d**3 + 30787680*d**2 + 222044480*d.\nAnswer: 5*d*(d - 476)**2*(d + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.02013 and 3.07?\nAnswer: 2.04987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -412*s + 25 + 28 + 34 - 88 to i*s + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230*d**2 + 5724*d**2 + 2064*d**2 + 454*d**2.\nAnswer: 8472*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 31 = 81. Let n = -27 + y. Is 9 a factor of 72\/3 + (-6 - n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 - 33. What is the second smallest value in -3, 1\/5, -0.4, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/9)\/(55\/(-264)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1174 - 1173. Let w = -14 - -20. Let r(f) = f - 10. Let s be r(10). Solve w*a + 3 = d + 2*a, s = 5*d - 4*a + t for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a centimeter in micrometers?\nAnswer: 16250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 + 52. Suppose 0 = 16*p - t*p + 65. Suppose -4*k - 40 = -244. Calculate the remainder when k is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 415*w = 227*w + 564. Solve w*q - 5*t - 7 = -q, -2 = -2*q + 2*t for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 843 times -0.1\nAnswer: -84.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8675301 is divided by 9190?\nAnswer: 9131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 14*u**3 - 5*u**2 + 14*u + 76. Determine h(-4).\nAnswer: -956","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.02 - 0.02. Let z = n - 0.9. Which is smaller: -3 or z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 y when three letters picked without replacement from oyyyoyoooo.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + q + 1. Let l be s(2). Let v be (45\/l)\/(3\/(-2)). Does 8 divide ((-32)\/6)\/(v\/(-18))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 16*m**3 + 2*m + 1. Let p be b(-1). Let s = -1 + p. Let k be 4\/s + 1536\/108. Is 14 equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -11*n**3 + 111*n**2\/2 - 90*n + 12441. Solve u(h) = 0 for h.\nAnswer: 15\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111110110011101111010100 (base 2) to base 5.\nAnswer: 13203333402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 527525356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6228760 and 18?\nAnswer: 56058840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 351, 345, 335, 321, 303, 281, 255?\nAnswer: 225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2. Let l(m) = -61*m - 3. Give l(s(q)).\nAnswer: -122*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 627*p - 116*p = 28105 for p.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -2297\/240558 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 6*h**2 - 8*h + 10. Let a be n(7). Suppose -p + a = -37. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i - 1634*m = -1644*m + 140 + 32, 6*i = -4*m + 32 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -13*t**2 + t - 1. Let b be j(1). Let l = b - -20. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -21) + (-50)\/(-10). Let s(g) = 46*g**2 + 7*g - 3. Let c be s(1). Calculate the greatest common divisor of c and z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -163, 129, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -12*1*(-6)\/(-297). Suppose 3*p = 4*k - 29, 2250*p + k - 5 = 2253*p. Is g at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -2*t + m - 11, -2*t - 3*m = -9. Let h(f) be the first derivative of -2\/3*f**3 - 1\/4*f**4 + f**2 + 4*f + 7. Give h(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 408 and 684?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 9*y**2 + y**4 + 7*y**2 - 2*y**4 + y**3 in the form j + u*y**4 + i*y**2 + t*y + m*y**3 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 6, -o + 0 - 6 = -3*c. Suppose -c*d + 11 - 5 = 0. Find t such that 3*t**5 + 6*t**3 + t**2 + 9*t**4 - 2*t**3 + 5*t**3 + d*t**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -873, -6987, -23583, -55899, -109173, -188643, -299547, -447123?\nAnswer: -636609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1686, 6719, 15108, 26853, 41954, 60411?\nAnswer: 82224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2808 = -75800. Let g = s + -26348. What is g rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 123451?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8, 32, 56?\n\"Answer: 24*a - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 7*q**2 + 9*q + 10. Let n be s(-8). Suppose -n*v = -v - 8. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 10*b - 133. Let d be b\/(0 + (35\/10)\/(-7)). Which is greater: d or -116\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7769633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33213 + 38600. What are the prime factors of p?\nAnswer: 5387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2989 is divided by 151?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express y + y - 28 - 33 + 15 in the form m + n*y and give m.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2. Let z(g) = -10*g - 2. Calculate w(z(y)).\nAnswer: -100*y**2 - 40*y - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*z + 5*z + 56. Suppose z*r + 21 = 21*r. Suppose 3*j + 6 = -3*x, 0*j + 3*x - 24 = 3*j. Which is smaller: r or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 308, 2234, 7360, 17288, 33620, 57958, 91904, 137060?\n\"Answer: 267*o**3 - 2*o**2 + 63*o - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r = -6*r. Suppose r = 6*z - 1533 - 753. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**17)**(-19))**(2\/7))**(-5) assuming b is positive.\nAnswer: b**(3230\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 9:30 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(72\/(-27)))\/(2\/4). Let q be ((-6)\/4)\/(6\/(-8)). Solve q*w + 5 = -u*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -6. What is the third derivative of 10*y**2 - 5*y**2 - y**j - y**5 wrt y?\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.5 - 25. Let l = t + 80.4. Let w = -73 + l. Sort 0.1, -0.3, 0.2, w in ascending order.\nAnswer: -0.3, w, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 32 + -657?\nAnswer: -625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1597960229.\nAnswer: 53, 661, 45613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n - 6. Suppose 4*l - 8 = z, 5*l + 18 = -4*z - 14. Let s be t(z). What is the first derivative of 2*m**s + 3*m**2 - 6*m**2 - 1 wrt m?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**3 - 10*v**2 + 6*v + 5. Is w(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 174950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (31 + -19 + -3 - (3 + -4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26703271?\nAnswer: 7, 3814753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**3 - s**2 - 2*s - 5. List the prime factors of n(3).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 587747 is divided by 206?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/6*1\/3*-6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1511 - 0.32296\nAnswer: 1510.67704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a gram in milligrams?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2389427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23480.29 years to millennia.\nAnswer: 23.48029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 114 (c) 1\/3 (d) 0.9 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3445657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l + 73. Let p be g(17). Suppose p = 5*n + j, -3*n - n - 3*j + 15 = 0. Suppose n = 2*q - 10, 0 = 3*y - 3*q - 94 - 212. List the prime factors of y.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -33*h**2. Let w(r) = 3*r**2 + 24*r + 12. Suppose 2*i = 5*t + i + 55, 3*i = -15. Let g(x) = -2*x - 1. Let k(s) = t*g(s) - w(s). Calculate k(y(l)).\nAnswer: -3267*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 + 0*m**2 - 3*m + 2 + m)*(200 - 6 - 85)*(-3 + 0 + 1) + 0*m**2 + 3*m**2 - 7*m**2.\nAnswer: 650*m**2 + 436*m - 436","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - i - 2 = 0, -7*z + 3*z + 4*i = 0. Suppose 0 = -5*x + 25, -z*x + 10 = -4*w + 3*w. Let j be ((-6)\/9)\/(8\/(-2)). What is the closest to -1 in w, 2, j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2270923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118200.\nAnswer: 2, 3, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8811 is divided by 977?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.08, 1, 2\/5, -4\/7, 0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09906396 to 4 decimal places.\nAnswer: -0.0991","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27697.89 litres in millilitres?\nAnswer: 27697890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -176, -281, -398, -527, -668?\nAnswer: -821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9797*j**3 + 9748*j**3 + 9786*j**3 + 9791*j**3 - 39109*j**3.\nAnswer: 13*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -15*a**2 - 3*a + 3. Let i(p) = p**3 - 6*p**2 - 110*p - 26. Let r be i(14). What is m(r)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.78972594 - 51.21028076. Let p = -65.1401 - -0.1401. Let w = p - q. Round w to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -277817.\nAnswer: -2\/277817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 31208, 31114, 30950, 30716?\n\"Answer: -35*f**2 + 11*f + 31232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10297?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40268, 40278, 40302, 40346, 40416, 40518?\nAnswer: 40658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 - 4)*(-5*n - 35*n - 45*n) to k + p*n and give p.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27187160 a multiple of 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (7 - 12 - -16).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 817? (a) 0.5 (b) 3.2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 308*g**2 - 2793*g. Let l(p) = 16*p**2. Give d(l(j)).\nAnswer: 78848*j**4 - 44688*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, 0.88, -4, -0.8728, 4?\nAnswer: 0.88","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k + 4 = -44 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13851*l - 27495*l + 13813*l.\nAnswer: 169*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 4*a + 4, -6*d + 9*d + 3*a - 3 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6*j**3 - 5*j**2 + 525*j - 5. Let f(p) = -7*p**3 + 6*p**2 - 523*p + 6. Give -5*f(n) - 6*h(n).\nAnswer: -n**3 - 535*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 12594*g**3 + 4*g**2 + g + 5. Suppose 5*a = 3*n + 29, 4*n + 3*a - 9 = 3*n. Let m be f(n). What is m rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 26525 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence owd when three letters picked without replacement from {d: 2, o: 2, l: 5, w: 2, q: 1, u: 5}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 87*r**2 + 1496*r + 121226. Give h(-86).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 249853398 to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*r - 4*q, -3*r + 0*r - 2*q = -25. Let h(n) = -n - 6. Let s(g) = g + 7. What is r*h(d) + 6*s(d)?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 27?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 5*p + 180. Calculate the greatest common divisor of p and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (477*n + 50*n**2 - 477*n)*(2*n**3 + n**3 - n**3).\nAnswer: 100*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((-1 - -2) + 2 + -4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 418*h**3. Let r(l) = -27*l**3. What is 77*r(t) + 5*u(t)?\nAnswer: 11*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (148\/(-96) + (-3)\/24)*-3. Suppose v*x + 13*x = 6192. What is the least common multiple of 14 and x?\nAnswer: 2408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(2057)*-2.\nAnswer: -110*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -169 or -838\/5?\nAnswer: -169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 80.957 (b) -1\/29 (c) 50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1.880581 centuries?\nAnswer: 2256.6972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 = 1083\/172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i**3. Let f = -268 + 279. Suppose f*y - 5 - 6 = 0. Give m(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 3*b - 3*b)*(-18 + 18 - 5*b) + (-b**2 + 3*b**2 - 3*b**2)*(3 - 3 + b) - 4*b**3 + b**3 + b**3.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3)*(r**3 - 1 + 1).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2335206.4 times -1\nAnswer: 2335206.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*p + 2392 = -57*p + 129*p for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 145184?\nAnswer: -145184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-5 + -2 - -13)) + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 6:10 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 2152.\nAnswer: 19368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1844386 to the power of 1\/2, to the nearest integer?\nAnswer: 1358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + -1 - sqrt(5))*2.\nAnswer: -2 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-2\/5))**(1\/12)\/((w*w**(-24\/11))\/w**(2\/101)) assuming w is positive.\nAnswer: w**(87877\/66660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 26228*r**2 - 4*r - 26223*r**2 + 75 - 36*r = 0. Calculate r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/809 + 789\/8090. Let p(x) be the first derivative of -x**2 + 1\/8*x**4 - 1 + 0*x - b*x**5 + 2\/3*x**3. Factor p(z).\nAnswer: -z*(z - 2)*(z - 1)*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -471892*d + 471895*d = 9, 3*d - 2 - 22 = -3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*u**6 + 8*u**2 + 19*u**6 - 2*u**2 wrt u?\nAnswer: 1560*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*s + 42*s = -13424. List the prime factors of s.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14413998 is divided by 153?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5*t = -9, 7*j = 4*j + 2*t + 15. What is the third derivative of -104*s**2 - 145*s**j + 31*s**3 - 64*s**2 + 63*s**2 wrt s?\nAnswer: -684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 62*o + 865. Let m be n(-14). Sort 0.1, 5, 301, m, -5 in descending order.\nAnswer: 301, 5, 0.1, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 - 1394*z**2 + 174340*z - 1751728.\nAnswer: 2*(z - 538)*(z - 148)*(z - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7, 17, -5, -2, -44 in ascending order.\nAnswer: -44, -7, -5, -2, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -k**7\/42 - 13*k**6\/15 - 17*k**4\/3 - 18*k + 2. Find the third derivative of x(y) wrt y.\nAnswer: -60*y**2 - 624*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 77032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -61496 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 18 = 4*g + 6, -5*g - u = 29 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**3 - 3*k**3 + k**3 + 181 - 181 + 136*k**3 + (-2*k**2 - 3*k**2 + 3*k**2)*(-4*k + 2*k + 3*k) to o*k**2 + a*k**3 + j + y*k and give a.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vu when two letters picked without replacement from vuvv.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2177 - 2170. What is the remainder when 857 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3, 2, -3, -2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - -2 - (-303 - (54 - 368))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*d + 88 + 68 = -579 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -57\/2. Suppose -825*x = -794*x + 186. Are s and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 688*r - 781*r + 15996 = 0. Calculate the highest common divisor of r and 92.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*q*t**2 + 4*q*t - 32360*q + 312833*t**2 + 6*t + 3 wrt t?\nAnswer: 8*q + 625666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 2*m + 2. Let z(w) = -3*w**2 - 35*w + 100. Let y(c) = 5*l(c) + z(c). Let f be y(6). Solve -a - 16 = -5*q + 8, -5*a = -3*q + f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1009547 is divided by 3244.\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 464*h**3 + h. Let f be j(-1). Let t = f - -671. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*46\/4*-1. Let o = j + -8. Let q = -11 + o. Solve 4 = -z, -6*g + 2*g + q*z + 16 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -87c66?\nAnswer: -87c68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccdcccccdcccccdccccc. What is prob of picking 1 d and 2 c?\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -30) + 1619 + -1706?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 192443?\nAnswer: -192442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -906, 0.04, 1.2?\nAnswer: -906","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 1:44 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.58 times -15.8\nAnswer: -24.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 506234231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 28?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32.25 + -32. Let z = -0.25 - v. Let w(f) = f**2 + 11*f - 17. Let q be w(-12). Which is the biggest value? (a) q (b) 0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 424051054, 848102110, 1272153166, 1696204222, 2120255278?\n\"Answer: 424051056*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4089905 divided by -277?\nAnswer: -14765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -3e4?\nAnswer: 3e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 41, 65, 143, 305, 581, 1001?\n\"Answer: 5*l**3 - 3*l**2 - 2*l + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 - ((-48 - -19) + 12 + 15 - 16).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(1008)*4)**2 - (sqrt(343) + sqrt(343)*1)**2).\nAnswer: 14760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1594601*g*i**2*j**2 - g*i*j**2 + 7*g*j**2 - 2*g + 42*i**2*j**2 + 2693484*i wrt i.\nAnswer: -3189202*g*j**2 + 84*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-24)\/32 + ((-48)\/144 - (-13)\/12). Let q(v) = -7*v - 20. Let z be q(-8). Solve -4*w - 28 + z = a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - -0.3. Let v = -4.6 - -5. Let c = v + -0.1. Sort -4, c, o in descending order.\nAnswer: c, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 4*b - 13004 = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2254\/18 - 12\/54. Let m = 752 - z. Suppose -3*s + m = -a - 7, 0 = -3*a + 6. What are the prime factors of s?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 17 (b) -7.63 (c) 0.5 (d) -27\/7 (e) -0.3 (f) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23 + -5?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 38790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1081964*i**2 + 2*i - 1675108 wrt i.\nAnswer: -2163928*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -21*n**2 + 48*n + 95. What is q(-2)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 4*h + 1748*i - 1753*i, 5*i - 21 = -2*h. Which is the third biggest value? (a) -68 (b) -3 (c) 2 (d) 4 (e) h\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(45\/36)*22\/(924\/(-735)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 - 544*i + 569*i + 564*i)*(-i + 2*i - 4*i).\nAnswer: -6*i**4 - 1767*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, 118, 119, 120, 121?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 3*l**4\/2 + l**3\/3 + l**2\/2 - 2*l - 7. Let s be (-4)\/(-10)*(5 - 0). What is the units digit of k(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -15*i + 4. Let j be p(-4). Suppose 2*m + 2*m = -o - 64, 0 = -m + o - 21. Let x = m + j. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - o + 224 = 0. Let x = o + 77. Suppose -4*a + 20 = -0*a, 2*c - x = -3*a. Solve u = -c*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -30*o**2 + 2*o. Let l(k) = -2*k**2. Let x(n) = 2*n**2. Let v(c) = 3*l(c) + 4*x(c). Determine h(v(r)).\nAnswer: -120*r**4 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3*v = 117, -5*v = -2*l + 3*l - 51. Suppose 4*z = l + 39. Calculate the lowest common multiple of z and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 237 = 3*a, -4*c = -2*a - 3*c - 159. Let g(y) = -1119*y + 1234. Let p be g(1). Let m = a + p. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of b**8\/420 + b**6\/90 - 5*b**3\/6 + 5*b. Let t(g) be the second derivative of u(g). Find the third derivative of t(s) wrt s.\nAnswer: 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 859292?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-23))**10\/(l**(-11))**6)**(2\/9) assuming l is positive.\nAnswer: l**(-328\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2585*t - 2585*t - 2*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380595 is divided by 322.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2711768.\nAnswer: 2, 419, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*s - 7. Suppose -3*v - s*l = -5*v - 15, 3*v + 6 = 2*l. Suppose 4*y + 4*k - 20 = 0, 2*k - 5*k = -4*y + 6. Solve v - y = t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14216055 (base 9) to base 15.\nAnswer: 94042b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/109630370?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 35*j - 35*j - 4. Let n be v(-2). Solve -n*g - 3*a = -10 - 3, -4*a + 16 = 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -15. Let y = i + 5. What is the least common multiple of 14 and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t**2. Let q(y) = 3*y**2. Let a(p) = p**2 + 6*p + 7. Let b be a(-5). Let c be (3*(-8)\/(-24))\/(2\/(-6)). Determine b*q(w) + c*m(w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24297.3841 - 2787.4631. Let x = -21493 + a. Let t = -0.021 + x. Round t to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 0.006\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 628496698.\nAnswer: 2, 17, 619, 29863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/160 and 14\/((-1540)\/(-1067)) - (-1)\/(-2)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssszzsssssss. Give prob of sequence zss.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13232 (base 12) in base 7?\nAnswer: -136343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, x: 2, y: 8, g: 1}. Give prob of picking 2 x.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1729270 is divided by 576420.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/12692? (a) 3 (b) -0.15 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5 = 5*p, -3*s - 3*p = -2*s - 21. Solve -s*j - 16 = 3*h - 2*j, 4*h - 20 = 5*j for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 6889*s + 20567. Determine i(-3).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1728\/72)\/(6\/12*(-6)\/(-146)). What is the highest common divisor of 4 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/2 - 1*-1. Suppose d - 53 = 5*h. Let z(j) = -64*j - 13. Let w(k) = -27*k - 6. Let s(v) = -19*w(v) + 8*z(v). Give s(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (14\/(-35))\/((-3)\/17655)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -o + 15, -2*o + 3*o = -2*l + 14. Calculate the greatest common factor of o and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c + 6. Let z(u) = u**2 + 7*u - 2. Let b be z(-9). Let i = 10 - b. Let j be p(i). Let d(q) = q - 1. Give d(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a = -114611 - 130189. Round a to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and -236346.\nAnswer: -236347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 57600*f**4 + 20320*f**3 - 35927*f**2 + 15477*f\/5 + 8712\/5 = 0.\nAnswer: -1, -8\/45, 33\/80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3*o - 12 + 33, -4*m = -o + 22. Solve 33*a - o - 23 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide -1 - -357 - (5 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + j - 7, -3*n - 4*j - 17 = 2*n. Let i(z) = -1. Let q(a) = -a**3 - 5*a**2 - 2*a + 2. Let u(k) = 5*i(k) + q(k). Determine u(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from gggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2202 + -19302. What is x rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 214*g**2 + 4. Let i(a) = -3*a**2. Give d(i(s)).\nAnswer: 1926*s**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*l - 5*h = 0, 0 = -3*l - 4*h. Solve l = -c + 4*c - 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.17 - -0.85. Let t = y + -1.5. Let l = t + -0.02. Which is the nearest to -0.1? (a) -0.4 (b) l (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1570 * 8451.\nAnswer: -13268070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -784 or -47?\nAnswer: -784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 8) + (14 - (-11 - -14) - -6)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 46\/2051?\nAnswer: 46\/2051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, m: 9, k: 2, u: 1, n: 2}. Give prob of sequence mn.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -14 - (301 - 303) - (-18)\/2?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, -34, 2\/13, 44, -5, 2, 1\/3.\nAnswer: -34, -5, 1\/9, 2\/13, 1\/3, 2, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 39*q**3 + 3*q**2 + q - 3. Let d = 34 + -33. Calculate the remainder when n(d) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, u: 1, s: 1, v: 1, f: 3}. What is prob of sequence svc?\nAnswer: 7\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rjmr when four letters picked without replacement from kjjjjokjroomojjoroko?\nAnswer: 7\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eqqwceqqc. Give prob of sequence eewc.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 6*o**3 + 11*o + 21. Let j(z) = -z**3 - 2*z - 4. Let w(u) be the first derivative of -2*u**2 + u + 3. Let r be w(3). What is r*j(y) - 2*x(y)?\nAnswer: -y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1 - 1) + 2)\/(-2). Suppose -78 = -3*y - o*y. Suppose -r + 2*l = -20, 122*l - 127*l + 13 = 2*r. What is the remainder when y is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1127*-0.39503.\nAnswer: 0.439549881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4.2836456+-3079555\nAnswer: -3079559.2836456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 45168 divided by -3\nAnswer: -15056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 125 - 146. Let h be (-7)\/u + 8\/3. Solve 0*y - 5*y - 5*d = -20, h*y - 8 = -2*d for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/6*(2 - 1). Suppose 0 = r - 16 - g. What is the highest common divisor of 72 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hqhhqhq. Give prob of sequence qqh.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 101 + -71. Suppose 0 = 3*s + 5*b - 375, 3*b + 15 + 3 = 0. Calculate the highest common divisor of k and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of x + x + x**5 - 3*x - 2*x wrt x?\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10090?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**2. Let l = -365 - -547. Let r(w) = -182 + 28*w**2 + l. Calculate r(y(z)).\nAnswer: 112*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -16*d**3 - 10*d**2 - 6. Let j = -104 - -98. Let l(b) = 16*b**3 + 9*b**2 + 5. Let u(s) = j*l(s) - 5*o(s). Find the third derivative of u(x) wrt x.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*m**5 + 757*m**4 - 370*m**3 - 1156698*m + 3 wrt m.\nAnswer: 140*m**3 + 9084*m**2 - 2220*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 + 115\/3. Let l = 43\/6 + -29\/3. Let i = -35 + 103\/3. What is the nearest to i in -4, x, l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1285 - 591. Let a = -34329 - -33640.58. Let s = a + r. What is s rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252.521713 rounded to 2 decimal places?\nAnswer: 252.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + -4*sqrt(72)*-3 + sqrt(72))\/(sqrt(100) + (sqrt(100) - 1*sqrt(100)) - (sqrt(432)\/sqrt(12) - sqrt(4))).\nAnswer: 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16212688 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 8*t - 3. Let n be v(-6). Let l be (-1)\/(n\/(-18))*-5. Solve l*w**3 + w - 4*w + 0*w - 3*w**5 = 0 for w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**2 - h - 1. Let g be m(-3). Suppose 0 = s + 5*w - g, 4*s - 43 - 9 = -4*w. Does 6 divide (-32)\/12*s\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/16 and 17\/13520.\nAnswer: 13520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*s**3 - 3*s**2 + s**2 - 1 - 33*s**3 as x*s**2 + z + t*s**3 + v*s and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -3\/7, -168.\nAnswer: -168, -3\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -11702, -16, -5, -2.\nAnswer: -11702, -16, -5, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 10, -4, -5, 1 in decreasing order.\nAnswer: 13, 10, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207741825 is divided by 103870905.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 5*k + 1336*m - 1315*m + 124, -4*k + 2*m = 72 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22386167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 30156, 60303, 90450, 120597, 150744?\n\"Answer: 30147*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -7\/2*f**4 + 47\/10*f**5 + 0 + 0*f**3 + 0*f**2 - 183*f. What is the third derivative of h(x) wrt x?\nAnswer: 564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/(-20))\/(-1))\/(22\/(-10))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-one quarters of a litre?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from erraarraraarrar. What is prob of sequence re?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -17. Let m = 19 + o. What is the greatest common divisor of 26 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 - f + 1)*(-79*f + 4058 - 4058) to t*f + a*f**2 + w and give t.\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 31292815\nAnswer: 3\/31292815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.037, 4, 5, 2\/17?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -514*n - 10146 = -247*n. Sort -0.1, -1\/3, n, -1.7, 4.\nAnswer: n, -1.7, -1\/3, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 839 divide 75617392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 4)*(-42)\/10. Suppose 2*d = 5*o - i, 0*o - 5*o = -d - 18. Let p(x) = 6*x**3 + 9 - o*x**3 - 5*x**3 + 3*x**3 + x**2. What is p(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -248945\/384 - 197\/128. Let p = q - -653. Calculate the common denominator of p and -99\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -25731*v**3 + 2*v**2 + 7*v + 6. Let l be g(-1). Suppose -15*s = -s - l. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-26)\/(-8) + (-3)\/(-4). Let u be 106\/p + 3\/6. What is the units digit of ((-4)\/(-3))\/(6\/u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 212111213 - 4?\nAnswer: 212111204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = a - 1, -4*a + 296 = -c + 277. Let j be 1\/(2\/(-4) + 1). Sort -1, 3, c, j in increasing order.\nAnswer: c, -1, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 87*w**2 - 169*w - 40. Determine q(-85).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-80)*-5*3\/(-12).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/4)\/(469\/134).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4000) - sqrt(4000)*-2)\/(sqrt(24)\/sqrt(3)*-4).\nAnswer: -15*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10002121200 (base 3) to base 16.\nAnswer: ee1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v**2 + 5*v - 4. Let a(o) = -3*o**2 - 5*o + 3. Let q(w) = -5*a(w) - 4*s(w). Let j be q(5). Suppose 3*p - 34 = -j. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 840887184 a multiple of 11237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**5 + 14*n**4 + 2*n**3 - 14*n**2 = 0. Calculate n.\nAnswer: -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 7*v**2 + 8*v. Suppose -4*n + 2*n + 12 = 0. Let z be y(n). Calculate the common denominator of 47\/11 and (3 + (-885)\/(-10))\/z.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d**0*d)\/d))**6)**(-2\/77)\/((d**(-5)\/d**(2\/3))\/(d**(1\/4))**(-43)) assuming d is positive.\nAnswer: d**(-4841\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 488687 and -148 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 286 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**3 - 165*o**2 + 1440*o - 1280 = 0. What is o?\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 6:22 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*u**2 + 12 + 3 - 5 - 9 to i + x*u**2 + c*u and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l + 22. Let q be y(10). Suppose -q = -d - d. Calculate the highest common divisor of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7*(-3)\/(21 - 0). Let g(q) = -2*q - 1. Calculate g(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 309.9 - 310. Let z = -13 + 6. Let w = -11 - z. Which is the nearest to k? (a) -1 (b) w (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**4 + 1656*t**3 + 71040*t**2 + 726400*t = 0. What is t?\nAnswer: -20, 0, 454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z + 97. Let f be x(23). What is the greatest common divisor of 15 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3615630 and -0.4.\nAnswer: 1446252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73612 divided by 28.\nAnswer: 2629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5480, -5497, -5530, -5585, -5668, -5785, -5942?\nAnswer: -6145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/448 and -25\/4864.\nAnswer: 34048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**6\/120 - w**5\/5 + w**4\/24 - 11*w**3\/6 - 14*w**2. Let h be n(12). List the prime factors of -2 + h + (53 - -1).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313547 is divided by 520?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 5*r. Let z(u) = -u - 1. Let m(c) = l(c) + 5*z(c). Let h(w) be the first derivative of m(w). Let i(o) = -5*o. What is h(i(s))?\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.863226334 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 23087, -4, -20 in decreasing order.\nAnswer: 23087, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3248 = 7*a - 61*a + 7552. Solve -53*l + a = -65 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - (-69)\/6 - (-2 + -1 - -9). Suppose -5*g - 9 = 6. Which is the smallest value? (a) 0.2 (b) 3 (c) w (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35\/34 at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.14 - 0.64. Which is the closest to 0.02? (a) 4 (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-28)\/(-6) - 4\/6. Let b be 2\/g + (-6)\/(-4). Let l = b + -6. Is l at most -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aga when three letters picked without replacement from agssajk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 4, -11\/2, 5, 4\/5, 4989.02?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 623220 divided by -235?\nAnswer: -2652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6782 is divided by 324.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3744 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhllhlhllhhll. What is prob of picking 1 h and 2 l?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - r + 24, 5*l + 5*r + 14 + 16 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 5 - 4 - s**4 + 2*s - 4 + 4*s**3 to t*s + f*s**4 + w*s**2 + y + i*s**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 15 = 5*n, 0 = -4*n - 2*d - 3 - 3. Let x be 10\/(-50) - (n + (-1)\/5). Solve 2*i = -4 - x for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**2 - 412*b**3 - 7*b**2 - 381*b**3 + 789*b**3.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/846 and 31\/2.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 35*x**5 - 32505*x**4 + 1593570*x**3 - 5435480*x**2 - 1683840*x = 0.\nAnswer: -2\/7, 0, 4, 48, 877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhhqqhh.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -29, -67, -131, -227, -361, -539, -767?\nAnswer: -1051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 109*b - b**2 + 2*b**2 + 110*b - 1 - 110*b to y*b**2 + i*b + a and give i.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 2*u**2 + 4*u - 3. Let h be a(2). Solve 3*w + h*m = 8*w + 15, -4*m = 4*w + 28 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1845768463?\nAnswer: 7, 11, 41, 584659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o + 4*i - 13, -3*o - 2*i - 10 + 3 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -15. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*p - 42*p - 6*v + 1845 - 1893 = 0, 5*p - 2*v + 140 = 0 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -17. Let u(a) = -g*a + 2 + a**3 - 2*a**2 - 8 + 5*a**2. What are the prime factors of u(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 189\/4 (c) 1\/3 (d) 2 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11*-11275.\nAnswer: -1240.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -241*x + 462*x + 39 - 230*x. Let t be u(4). Solve -5*a = 3*o - 16, t*a - 2 = -o + 2*a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 304 by -1.\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**3 + 212734*n**2 - 212734*n**2 - 60*n**3.\nAnswer: -55*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/130352795 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 168 - 168 - 18*c**2 as q + m*c + x*c**2 and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2428800 to the nearest one hundred thousand.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3838 + -3849. Which is the closest to -2\/9? (a) u (b) 2 (c) 0.04 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/42*-15)\/(24\/(-14)). Let c(q) be the third derivative of 1\/4*q**4 + 0*q + o*q**3 + 0 + q**2 + 1\/60*q**5. Give c(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 53*x + 788. What is j(-15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - r = 3 + 5, -4*r = 3*p + 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -7533 + 7545, k + 2*u - 3 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 3*w**2\/2 - 2*w + 6. What is the derivative of k(q) wrt q?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98568*x - 4*q + 62 = 98579*x, 5*x - 34 = 4*q for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(256)*-3*-2)\/((sqrt(168)\/sqrt(7))\/sqrt(3)))**2.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of 3\/2*r**3 - 10*r**2 - 13\/24*r**4 - 3\/20*r**5 - 1\/120*r**6 + 0*r + 0. Let p be o(-7). Solve -p*f + 6 = -5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/60 and -107\/88500852.\nAnswer: 442504260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 112*m. Let g(y) = -2*y**2 + 5*y - 5. Let r(h) = -2*h**2 + 6*h - 6. Let b(i) = -6*g(i) + 5*r(i). Give b(n(o)).\nAnswer: 25088*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -9. Let n = b + -4. What is the nearest to n in -4, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 16.92. Let v = n + 1.9. Let g = -1.32 + v. What is the third smallest value in g, -3, -3\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 0.9, 2, 3?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h**2 - 18*h - 9. Let s(u) = -3*u**2 + 9*u + 5. Suppose 25*c = 137 + 38. Determine c*s(b) + 4*d(b).\nAnswer: -b**2 - 9*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 7*p + 0*p**2 + p - 9 + 1. Let g be b(7). Is -2 greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (6 - -1) - (1 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 2*r + 133, -w = w - 4*r - 86. Let f be (-5 - -2)*10\/w. Let n be (12\/10)\/((-6)\/(-20)). What is the nearest to f in n, -1\/5, -0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/(-16) + (9 + -7)*(-7)\/6\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-9)*(-437 - -11). Suppose 7*l + 8 - p = 0. Let d = 13 - -1. Calculate the remainder when l is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 1401?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -84*q + 83*q. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -10 + 6 - (8 + -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.47 + 0.53. Let s = 10 - k. Let o(u) = -4*u - 24. Let w be o(-6). What is the nearest to s in 1\/4, w, 1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -122*h**2 - 21*h - 2. Let y(v) = -6*v - 799. Let t(r) = -r - 141. Let c(s) = -34*t(s) + 6*y(s). What is c(o(b))?\nAnswer: 244*b**2 + 42*b + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9033.8268 - 9036. Let u = l + 7.584. Let k = -5.4 + u. Round k to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101672003?\nAnswer: 101672003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 548*w + 2*w**2 - 270*w + 12 - 3*w**4 - 280*w - 7 + 7*w**3 - 4*w**3 to the form u*w**4 + r*w**2 + y*w + b*w**3 + a and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2933959399.\nAnswer: 7, 17, 24655121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23103560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(2*3\/(-6)). Suppose 22 = t*d - 8*d. Solve -n - 11 = -3*l, n = -5*l - n + d for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55 + 77. Let x = k - 22.2. Which is the nearest to -0.2? (a) x (b) -4 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3*v = 77, u - 5*v = -u + 37. Let w be 1*((-2)\/u + (-306)\/(-272)). Let z(j) = -2*j**2 - 1. Calculate z(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458*(-2)\/(-10) + (-2)\/(-5) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j - 196 = j + 5240. Solve -7 = j*h - 295*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -6. Let t be (-2)\/(-1 - (-1 + q)). Sort -4, t, 1 in decreasing order.\nAnswer: t, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2 + (3 - 1 + 0)*(-2 + 1 + 3) - 2 - 2 + 2)*(0 - 3 - 20)*(2*t + 7 + 4*t - 4).\nAnswer: -414*t - 207","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 1. Let d(j) = 4*j + 20. Let a(n) = d(n) - 20*i(n). Is 4 a factor of a(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 3:19 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27\/35 + -4\/7. Let d be (-5)\/15*(9\/2)\/(-3). What is the closest to 0 in r, 2\/3, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*p**5*s**2 + 64*p**4*s**2 + 3*p*s**2 + p + 5*s**2 wrt p.\nAnswer: -240*p**3*s**2 + 768*p**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 0*o - 6\/5*o**2 + 9\/25*o**5 + 21\/20*o**4 + 0*o**3 - 19. Suppose z(l) = 0. What is l?\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a + 2*a + a + 6. Let d be l(-5). Put 2, -2, d in increasing order.\nAnswer: d, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1028, -1034, -1042, -1052?\n\"Answer: -p**2 - 3*p - 1024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*p**4 + 66141*p**3 - 4*p**2 - 27378584*p wrt p?\nAnswer: 264*p**2 + 396846*p - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**4\/8 - b**3 - b**2. Suppose 0*x - x = -2*x - 12*x. Let i be u(x). Let s(p) = p**2 + 7*p. Determine s(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/55 and 169\/60?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2988 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.9 + -1. Let m = 0.5 + p. Let r = -0.2 + 0. Which is the third biggest value? (a) r (b) 0.5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 401 + 393 = 0, -2*h = 2*d - 2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4)\/a*a*a*a*a\/a**(-17))\/(a\/(a**(5\/4)*a))**5 assuming a is positive.\nAnswer: a**(89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k - 10. Let j be f(4). Which is the second smallest value? (a) -0.5 (b) 0.3 (c) 13 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5 = 1. Suppose 3*t = n*a - t - 12, 4*a = -5*t + 89. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 1\/2*j**2 - 1\/90*j**5 + 0*j + 0*j**3 + 0*j**4 + 1\/180*j**6 + 6. Let k(l) be the second derivative of m(l). Solve k(s) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 3 - 8)*(d - 2*d + 7*d).\nAnswer: -114*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -8829*c**2. Let o(w) = -15*w**2. Calculate o(d(v)).\nAnswer: -1169268615*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 560 and 8876?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2952)\/(-16))\/(9\/(-24)). Let x = -6393\/13 - w. Is 1 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.025 from -216455061.\nAnswer: -216455061.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 5*r**3\/3 + 6*r**2 - 5*r + 11. Is 12 a factor of v(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22152007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.295318 - -26947.\nAnswer: 26947.295318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 4*x - 13385, 403*b + 5*x = 407*b - 53645. Round b to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 4)*(108*u**3 - 52*u**3 + 32 - 53*u**3).\nAnswer: 12*u**3 + 128","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**2 - 2*z + 4. Let v(m) = 4*m**2 + 3*m - 4. Let f(h) = 3*t(h) + 2*v(h). Let l(y) = 17*y**2 - 18*y**2 - 5 + 10. Determine 5*f(s) - 4*l(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/14 - (-6)\/(-21). Let u be -1 - ((-4018)\/9 + 1). Let a = 444 - u. Is a at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/37938048 and 59\/3059520?\nAnswer: 189690240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 90 (b) 1 (c) -0.5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + w - 2 = 5, 2*f - 4*w = 16. Let b(z) = -35*z**2 - 36*z**f + 88*z**2. Let d(k) = -k**2. Calculate d(b(g)).\nAnswer: -289*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**3 + 5*j**2 - 4*j - 7. Let o(r) = r**3 - r**2 + 1. Let z be 1\/(-2) - 18\/(-4). Let h(v) = z*o(v) + m(v). Suppose -7*a = -a + 12. What is h(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 12:06 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 258216.7l to millilitres.\nAnswer: 258216700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 + -32. Suppose w - t = -w. Suppose -5*a = 2*d - 6*d + 228, -w*d + 268 = 5*a. List the prime factors of d.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 286?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 25 = 2*i - d, 0 = i + 4*d + 7 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3\/19 + 10718*r**2\/19 - 4293654*r\/19 + 447610554\/19 = 0. What is r?\nAnswer: 213, 4933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -22. Suppose 0 = -3*z - 3 - 0, -5*v - 5*z = 0. Sort 0, a, v in ascending order.\nAnswer: a, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -41496? (a) -4 (b) -1\/2 (c) 45 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 - 48 - 2*v + 5*v**3 + 3*v + 48 to the form i*v + p*v**3 + m*v**2 + g and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1862\/(-16))\/((-33)\/4) + 2. Let p = -421\/11 + n. Calculate the common denominator of 47\/2 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 1, 5, -2, -32 in decreasing order.\nAnswer: 15, 5, 1, -2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19479 - 39*z**3 + 22*z**3 - 19479 + 21*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.4 and -27?\nAnswer: -37.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4335 + -4203. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 774059576.\nAnswer: 2, 67, 109, 13249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 20 + 10f6?\nAnswer: 1116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.043 times -0.1123072?\nAnswer: 0.0048292096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10578 + 2020410\/191. Which is greater: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*q**2 + 32*q**2 + 6397*q**4 + 11*q - q**3 + 2*q**3 - 6396*q**4 as y*q**3 + f*q**4 + n*q**2 + d*q + o and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 537, 1065, 1593, 2121, 2649, 3177?\nAnswer: 3705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0.4 (c) 1\/7 (d) -12624\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -382*f + 166*f + 177*f + 2*f + 2 - 2 + (0 + 0 + 2*f)*(0 + 0 - 1) + f - 4*f + f to the form r*f + l and give r.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 79, -378, -1885, -4970, -10161?\n\"Answer: -88*f**3 + 3*f**2 + 150*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 + 5 = -5*z. Let r(x) = -10*x + 43. Let y be r(4). Suppose -y*f + 1 = -z. Solve -f*j = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-4)*o**(3\/2)\/o)**(-3\/11) assuming o is positive.\nAnswer: o**(15\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 65.85 - 64. Let g = -0.25 - s. Let q = 2 + g. Is -0.2 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, -0.3, -1712588?\nAnswer: -1712588","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2\/11*v**4 - 2\/11*v**5 + 28\/11*v**2 + 12\/11*v**3 + 6\/11 + 2*v = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - o = -2*o + 447, 5*v = -3*o + 441. Let n be 267\/9 - (-4)\/12. Calculate the greatest common factor of v and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*f + 257 - 379 = 0, -33 = q - 5*f. Which is smaller: q or -264\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 3\/14, 1, -14?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 41 = 145. Let h = 70 - w. Suppose 2*j + j - 18 = 0. Calculate the highest common divisor of j and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, v: 1, q: 1, w: 1}. What is prob of sequence qqvv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s**2 + 45*s + 51. Calculate n(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 5:19 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -6. Let k(l) = 1 - 5*l**2 + 5 + l**p + 5*l**2. Let c(y) = 2*y**2 + 13. Determine -4*c(m) + 9*k(m).\nAnswer: m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(68)\/((sqrt(4) - (sqrt(16) + sqrt(4))) + sqrt(4)))**2*-4*-6.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 0*b**3 - 7\/8*b**4 - 6*b - 7*b**2 - 3\/8*b**5 + 0 - 1\/80*b**6. Factor t(w).\nAnswer: -3*w*(w + 1)*(w + 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -t - 60. Suppose -4*d + t = d. What is the units digit of ((-36)\/5)\/(d\/(-40))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 12. Suppose 4*x + 51 = -b - 2, -w*b - 56 = 3*x. Let a be (x\/10)\/((-8)\/320). What is the greatest common factor of 120 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 5:50 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42498 - 42624 = -9*w for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6\/((((u\/u**(-18)*u*u)\/u)\/u)\/u))\/(u**(12\/7))**(-6\/13) assuming u is positive.\nAnswer: u**(-1020\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10759 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-29\/3))\/(k**16\/k*k)*(k*k**(13\/3)\/k)**(-43))**26 assuming k is positive.\nAnswer: k**(-5486)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - -8 - (-3 - 1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**4 + 122*c**3 - 466*c**2 + 574*c - 228 = 0. What is c?\nAnswer: 1, 2, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 5*y**2\/2 + y + 5. Suppose 2*p - r - 2 = -3*p, 2*p - 8 = -2*r. Calculate b(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12, -52, -118, -210, -328?\n\"Answer: -13*b**2 - b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1055, 2929, 4803, 6677, 8551, 10425?\nAnswer: 12299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/352 and 101\/28.\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*x + 30*x + 88*x + 223*x**3 wrt x?\nAnswer: 1338*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77*t**3 + 34*t**3 - 30*t**3)*(-2*t**2 + 3 - 3) + (6*t**2 + 752*t - 752*t - t**5)*(1 + 5 - 2).\nAnswer: -166*t**5 + 24*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2102773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 9, -0.5, 2\/21, 4, 2, -55.2, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, f: 2, k: 8, a: 1, h: 1, u: 3}. Give prob of picking 1 h and 1 a.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 4:02 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 - -30. Suppose k = 4*o + o - 5. Suppose x + 0 - o = -d, -3*d + 2*x = -23. Is d even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3032 - 3005. Calculate the remainder when 402 is divided by n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 5*s + 3*d, 20*d - 18*d = 4*s - 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u. Let y(g) = -43*g**2 + g + 135. What is y(c(x))?\nAnswer: -43*x**2 + x + 135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 99155798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -19*i**3 + 25*i**2 - 7*i. Let q(f) = -6*f**3 + 8*f**2 - 2*f. Let l(b) = 7*q(b) - 2*w(b). Find the third derivative of l(m) wrt m.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - d = 8237, -y + 6*d + 2741 = 8*d. List the prime factors of y.\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-189)\/28)\/(2*3\/(-24)). Is (-2)\/(-9) + ((-2748)\/n)\/(-1) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -270 + 0*d**2 + 58*d**3 - 19\/7*d**7 + 0*d**5 + 0*d**6 + 0*d**4 + 0*d. What is the third derivative of i(w) wrt w?\nAnswer: -2280*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 7*s**3 - 3. Let f(b) = -b + 1. Let r(g) = -3*f(g) - h(g). What is the second derivative of r(j) wrt j?\nAnswer: -42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 503 (base 9) to base 11\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of 0*j**2 + 1\/110*j**5 - 6*j - 3 - 8\/33*j**4 + 64\/33*j**3. Determine m, given that u(m) = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34204 bigger than -34204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24446 = -0*p + 2*p. Let b = p + 7087. Let v = b + -1364. What is v rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 246910716 and 780.\nAnswer: 1234553580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -132*f - 127. Let r be o(-1). Solve r*t = -74 + 74 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2132?\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 9:17 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73542 and 4539.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*382\/(-4)*1. Suppose 2*x = -u + x + 182, u = -4*x + i. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3. Let q(w) = -w - 3. What is -2*q(b) - 3*u(b)?\nAnswer: 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gspp when four letters picked without replacement from ffngggssnppopfof?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*x = 84*x + 1582. Calculate the remainder when x is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 + r**2 - 3*r**2 + (-22 + 22 + 14*r)*(-r + 3*r - r).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1357, -284, 797, 1886, 2983, 4088, 5201?\n\"Answer: 4*o**2 + 1061*o - 2422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/4 + 0)*-2. Suppose -5*p + 3 = 43. Let y = p - -7. Which is the closest to y? (a) 1\/4 (b) -1\/9 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 9 + 7 = 4*k, -3*k = 3*v + 30 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -765*10\/(-330)*11 is divided by 53.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 r when two letters picked without replacement from vfqvvrrrqrrvrqor?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/4, -0.2, -0.08, -7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + 7*y - 12915. Let s be y\/585 - 3*1. What is the second smallest value in 4, s, -1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 1527488?\nAnswer: 1527485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 0) + (-222)\/(-57)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-3) + 6 + (10 + -15 - -13).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14333, -14324, -14303, -14264, -14201, -14108?\nAnswer: -13979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 100\/449 + -2\/4041. What is the second smallest value in 1, -4, 0.46, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 249.5 - 250. Let u be (-2)\/(-4) - (2 - 35\/10). Which is the third biggest value? (a) -5 (b) u (c) 2\/11 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 f when two letters picked without replacement from {x: 7, f: 2, r: 4, h: 1, d: 6}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 36. Let r be f*(-2 - -3)*2. Let j be (-1)\/2*r\/8. Is j greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t - 92. Let k(r) = 35*r + 33. Let p(n) = -19*n - 18. Let q(y) = -6*k(y) - 11*p(y). Give w(q(h)).\nAnswer: -2*h - 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = j - 4*r, 3*r - 2 = r. What is j rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 5*f = f - 4*f - 4*l - 11, 0 = 5*f - 4*f + 3*l for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*w**5 + 13*w**5 - 25*w**5)*(2 + 0 - 3) - 258*w**4 - 2*w**5 + 129*w**4 + 127*w**4.\nAnswer: -21*w**5 - 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 + 1)*(4*v + 0*v - 2*v) - 3*v + 6 - 10 + v in the form t + w*v and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -223?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 68?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - u = 0. Suppose u*r + 3*r - 3 = 0. Let x be 2\/(-1)*5\/(-2). Put r, x, -3 in ascending order.\nAnswer: -3, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390640172.\nAnswer: 2, 13, 7512311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.1, 1\/7, -5 in descending order.\nAnswer: 0.5, 1\/7, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*y**3 - 25*y**2 - 11 + 24*y**3 - 7 + 17 as u*y + a + z*y**3 + n*y**2 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/45 or -0.5?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2097 is divided by 124.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 21, 37, 33, -3, -83, -219?\nAnswer: -423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -4. Solve -1 = x*k + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 4 + 5\/(-16)*10. Put y, 1\/2, -4 in decreasing order.\nAnswer: 1\/2, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*q + 5*h + 2, 2*h + 6 = 0. Let s be (-4 + q + 0)*(2 + -2). Suppose s = -2*f - o + 47, 3*f + 0*o = 4*o + 65. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**2 + 6*i - 1. Determine q(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 3, 14, 43, 96?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 - ((-24)\/(-16) - (-39)\/22) and -2\/221.\nAnswer: 2431","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2512 divided by -1642\nAnswer: 1256\/821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16344635643 - 0.1131.\nAnswer: 16344635642.8869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2204.\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**17*m*m)**(2\/9)\/(m**(-33)*m\/m**(-13)) assuming m is positive.\nAnswer: m**(209\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -197 - -206. Let p(v) = 12*v**2 - 9*v - 12. Does 68 divide p(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -1452*x**3 - 24*x - 36. What is the thousands digit of g(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2426, -2437, -2498, -2645, -2914?\nAnswer: -3341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -9138388, 5 in descending order.\nAnswer: 5, -2\/3, -9138388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -42523*r + 21263*r + 0 + 21262*r + 5. Let s(l) = l**2 + l + 1. Let y(g) = -4*g**2 - 8*g - 13. Let b(p) = 3*s(p) + y(p). What is 2*b(z) + 5*c(z)?\nAnswer: -2*z**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -64*y**3 - 15*y**2 - 163*y + 6. Let u(v) = -125*v**3 - 29*v**2 - 326*v + 11. Let w(m) = -11*h(m) + 6*u(m). Find the second derivative of w(k) wrt k.\nAnswer: -276*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 849 = -23*o - 3*s + 713, 4*o + 2*s = -102 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dwdrrwiwwdwdor. What is prob of sequence orw?\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 8:31 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((42\/(-12))\/((-49)\/21))\/(-9).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20*((-9)\/6)\/(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 135 - 86. Calculate the remainder when a is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-45)\/(-35) - 1)*-1. Let w = 26.6 - 26.1. Which is the nearest to o? (a) -5 (b) w (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*u + 400 = 73*u. What is the highest common factor of u and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -61, 1, -107 in decreasing order.\nAnswer: 2, 1, -3, -61, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40.27 - 40. What is a rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33122002 (base 6) to base 10\nAnswer: 990578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 - -48. Let i be 17\/(-15) - (-1)\/3. Let x = -0.7 - -0.2. What is the nearest to 0.1 in a, i, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33072 a multiple of 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 242362681*h + 167746386 wrt h.\nAnswer: 242362681","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-2)\/(-20)*2). Suppose -v = -5*x + 5 - 1, -q*x + 3*v = -2. Let t(p) = 9*p - 1. What is t(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**5 - 330*i**4 + 6895*i**3 - 37430*i**2 - 165660*i - 121000 = 0. Calculate i.\nAnswer: -2, -1, 22, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 5*o + 15 = -10, 0 = -2*i - 2*o + 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-21)\/(-3) - (5 - (-16)\/(-8)))\/2. Solve 0 = 1093*f - 1092*f + h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x**2 - 19*x - 8. Give g(-7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.12 + -1.12. Let h = -7 - t. Let v = 6.2 + h. Which is the closest to -2? (a) -3 (b) v (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 8085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 18, 0.13, 16, 0.4, 5?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69\/10 + 641\/90. Are g and -3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -3*x - 32. Let q = -1 + 1. Suppose -p + 0*p + 24 = q. What is the highest common factor of p and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**6\/80 + n**5\/8 - 7*n**4\/16 + 3*n**3\/4 + 7*n**2. Factor g(c).\nAnswer: -3*(c - 3)*(c - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27859, 27857, 27855, 27853, 27851, 27849?\nAnswer: 27847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 8. Suppose -2*n = z*n. Solve -t - 2 + 7 = n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 72483364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -2\/3623?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/1*(-40)\/100?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1629*a**3*h**2 + 88*a**3*h + 2*a**2*h**3 - 3485*a**2*h + 10*a*h**2 + 2 wrt h?\nAnswer: -3258*a**3 + 12*a**2*h + 20*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*q + 263*q**4 - 2*q**2 - 74*q**3 - 258*q**4 + 2 - 9*q to z + p*q**4 + d*q**2 + s*q**3 + k*q and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -126, -130, -134, -138?\n\"Answer: -4*r - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19866*a*j*r**2*z - 72*a*j*z + 10*j*r**2*z + 4*j*r**2 - 1563*j*r*z + 19*r**2 + 2*z with respect to a.\nAnswer: -19866*j*r**2*z - 72*j*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/9)\/(v**(1\/11)*v*v*v))\/(v**1*(v*v**(-3\/5))\/v))**38 assuming v is positive.\nAnswer: v**(-61484\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n - 60. Let f be k(0). Let g = -55 - f. Solve -4*a + g*r = -6*a + 35, -5*a = -4*r - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -123731 or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 142111640?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 16) to base 6\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 + 9*b**3 + 5*b + 8*b**3 + 3*b**3 - 24*b**3 to f*b**3 + a + y*b**2 + z*b and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 24*x**2. Let c(k) be the first derivative of 0*k - 5\/2*k**2 - 25. What is c(r(s))?\nAnswer: -120*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2599, 2\/11, 6\/4445?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.02429 - 0.06661. Round p to three decimal places.\nAnswer: -0.091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, b: 2, c: 3, g: 1, l: 4}. What is prob of picking 1 m and 1 c?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d. Let z(i) = -7*i + 1. Let u(y) = y**3 - 3*y**2 - 4*y + 2. Let c be u(3). Let a(l) = c*h(l) + 6*z(l). Calculate a(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.04 + -0.44. Let w = s + 0.397. What is w rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 u when four letters picked without replacement from yyuuyydjuuuy.\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 489 is divided by 231?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.27 - 3.67. What is the second smallest value in h, -11.8, -2\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 111 + -100. Let b = o + -8. Solve -4*v = -2*k - b - 11, -2*k + 14 = 3*v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 + 19)*222\/15. Calculate the greatest common factor of l and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1326432597632 and 155.\nAnswer: 1326432597787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 771 = -7*h - 132. Let r = 344 + h. What are the prime factors of r?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*6\/(12\/5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 5*d + 1. Let l be n(4). Suppose -h + 5*a - 23 = 0, -23 = -2*h - 4*a + 1. Solve -4*r - 28 = -3*v, -v - h*v + 32 = -l*r for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35022 by 3945.\nAnswer: 11674\/1315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than -2839?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 - 2*t + 0*t + t)*(-t**3 + 3*t**3 - t**3).\nAnswer: -2*t**5 - t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 286015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 82?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g**4\/6 - g**2 + 1. Let r(b) be the second derivative of h(b). Let p(w) = -w**2. What is p(r(z))?\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2803386713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2269820 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0)**(5\/7))**(-44)\/(r**4*r*r**(-2\/13)*r)**(2\/79) assuming r is positive.\nAnswer: r**(-152\/1027)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 7*q**2 + 4. Let c be s(7). Let a = 2 + c. Solve -2*d + a = -2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 553 + 712?\nAnswer: c65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/11)\/(13097\/123486)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52372364 to the power of 1\/2, to the nearest integer?\nAnswer: 7237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -4.6. Which is the nearest to -0.1? (a) z (b) -2\/9 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 4. What is the second derivative of -g*b**2 - 2*b + 6*b + b**2 - b wrt b?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 75 = -53*h + 295. Suppose -3*f + 6 = -0. Solve h*y - y + 7 = -f*z, -5*z = y - 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence att when three letters picked without replacement from attt.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -6*s**3 - 6*s**2 - 7*s + 6. Suppose -162 + 27 = 27*h. Let k(c) = 6*c**3 + 7*c**2 + 8*c - 7. What is h*k(b) - 6*r(b)?\nAnswer: 6*b**3 + b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eex when three letters picked without replacement from {e: 4, x: 7}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 6 + 4*j)*(141 + 77 + 122) in the form m + o*j and give o.\nAnswer: 1360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 63*p - 2. Let b(q) = -q**3 - 8*q**2 + 10*q + 11. Let h be b(-9). Suppose -4*r + 34 = h*c, 4*r - 5*c = -r + 50. Is y(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of p**7\/21 + p**5\/2 - p**3\/3 + 7*p**2 - 3*p + 2. What is the second derivative of g(x) wrt x?\nAnswer: 40*x**3 + 60*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t - 1. Let v(d) = 5*d + 2. Let q(h) = -4*p(h) - 3*v(h). Let b be q(6). Suppose -i - 61 = -b*n, 4*i = -4*n - i + 55. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**4 + 97730*z**3 - 390954*z**2 - 97730*z + 390952 = 0.\nAnswer: -48869, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*6\/48 + 5 + (-492)\/81?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d**2 - 3*d + 3. Suppose 4*y = 5*y + 6. Let j(c) = 9*c**2 - 7*c + 7. Let n(m) = y*j(m) + 14*q(m). Let a(z) = z**2. Give a(n(g)).\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73322 and 488?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9855 is divided by 99?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 114 - 114 - 4*q**2. Let x(v) be the third derivative of -v**4\/12 + 13*v**2. Calculate s(x(m)).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235216 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(38)\/sqrt(2))**2*4.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -595 and -5?\nAnswer: 2975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + 11. Suppose -x - a + 31 = 0, -4*a = 5*x - k - 130. Is 26 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**3 - 3*j**2 + j - 1. Let a be z(2). Let l(h) = -h**3 + 6*h**2 - 6*h + 4. Let u be l(a). What is the closest to 1 in 3\/8, u, -2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (38*q**3 + 4*q**3 + 31*q**3)*(-3 + 2 - 1) to the form z + i*q**2 + l*q**3 + b*q and give l.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.01604014 - 0.01584. What is d rounded to 5 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2000 (base 3) to base 12\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-15)\/(20\/(-4)) - (-24 - 5834)?\nAnswer: 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-1 + 1 + -4 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004598 to five dps.\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2 = -2*h - 10, -4*h = -5*y + 4. Suppose 10 + 16 = -13*o. Let q be (1 - o\/(-4))*y. Solve 0 = q*m + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -958192?\nAnswer: 958187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26234 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*h - 24*h - 21574 = 0. What is the highest common factor of 1472 and h?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2350705 is divided by 783484.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 8\/7, 1\/12 in ascending order.\nAnswer: -0.2, 1\/12, 8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**3 + 150*i**2 + 6411*i - 13398 = 0.\nAnswer: -29, 2, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -948 - -1718. What is the hundreds digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17.35 + -18.599. Round c to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3947807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8413?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 16) in base 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 325759025 to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81 - -161\/2. What is the nearest to 0.03 in 0.13, 1, n?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2313013 (base 5) in base 9?\nAnswer: 63088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - 271. Let m = 331 + i. What is the least common multiple of 24 and m?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(2*sqrt(3))*5.\nAnswer: 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 19\/4 of a centimeter?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhllllhhl. Give prob of sequence ll.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 2\/9, -35140, -2\/5, -19 in increasing order.\nAnswer: -35140, -19, -3, -1, -2\/5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 253 - 205 - (98 + 1).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xj when two letters picked without replacement from vnxvjnjjjy?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -128*d - 342. What is the thousands digit of q(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+2.8\nAnswer: 2.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.19 - -2.81. Which is the third smallest value? (a) -1\/11 (b) y (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/230)\/(-25 + 10 + -10 + -48 + 67).\nAnswer: 2\/345","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, n: 2, a: 14}. Give prob of picking 1 e, 1 a, and 1 n.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*k = 86, k - 42 - 18 = -3*v. Find w such that 0*w**4 + 3*w**2 + v*w**3 - 16*w - 4 - 6*w**3 + 4*w**4 = 0.\nAnswer: -2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -10*h + 2. Let l(s) = -8*s**2 + 3*s + 42. Let p(o) = o**2 + o + 14. Let n(g) = -2*l(g) + 6*p(g). Determine n(r(t)).\nAnswer: 2200*t**2 - 880*t + 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4291 (b) 2\/15 (c) 0 (d) 4\/7 (e) -2\/21 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 703 - 673 - (2 + -9 + -2)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 5*n**2 - 5*n - 6. Let s be v(6). What is the tens digit of s - -2 - (-135 + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rllrfh. What is prob of picking 1 f, 1 h, and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 336.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 234.3105g in tonnes?\nAnswer: 0.0002343105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*(sqrt(102) - (sqrt(102) - (sqrt(102) + sqrt(102)*2 + sqrt(102)))))\/(-6*(sqrt(6) + -4*(sqrt(6) + sqrt(6)*-1))).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 7*u. Let v be y(-6). Let r(q) = q**3 + 6*q**2 + 12*q + 9. Let m be r(-3). Suppose 0*d + d = -2, -k + d + v = m. Is k a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -3*y**4\/2 + y**3\/3 + y**2 - 2*y + 89. Calculate z(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 11*b**2 - 20*b + 21. Suppose -2*o - 33 = -3*t, 2*t + 5*o + 1 = 4. Let l be w(t). Solve 2*n + 14 = -2*h, -4 = 3*h - h - l*n for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81750023.1*-2\nAnswer: -163500046.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/2 - ((-40)\/16 - -2). Suppose k + 6 - 87 = z. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 167898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3418 by -80.\nAnswer: -1709\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**3 - 34703311*w - 34703307*w + 69406618*w.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 314 + 412 = 6*i. Suppose 4*u - b = 479, b - i = -u - 0*b. Suppose 0*c - 3*c + u = 0. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3373944601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81417020?\nAnswer: 2, 5, 37, 110023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 7:47 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*c - 3*a + 2098807 = -151*c, -2 = -2*a. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 99\/23 in -2\/7, -0.73, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*l + 12*l + 5*i - 48, 5*i = -2*l + 26 + 8 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20712740?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*d - 648 = -0*d, 4*i + 4*d = 1240. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 175 = p. Suppose 5*c - p - 1139 = h, 0 = -h - 4. What are the prime factors of c?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*m - 81. Let d = m + 20. Solve 0*g = -2*g - d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 27478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of 7*y**6\/60 - 3*y**3\/2 + y**2\/2 + y. Let s(r) be the first derivative of m(r). Find the first derivative of s(f) wrt f.\nAnswer: 42*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 5:50 PM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hpqhpqppaatophtpoa. Give prob of picking 2 o.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.07, -1.5, -2\/27, -1.784 in ascending order.\nAnswer: -1.784, -1.5, -2\/27, 0.07, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 1987, 5\/4, 59.1 in descending order.\nAnswer: 1987, 59.1, 31, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -15.4 times 1\nAnswer: -15.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -47529, -47553, -47603, -47679, -47781, -47909, -48063?\n\"Answer: -13*s**2 + 15*s - 47531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**0*y**3*(y*y**(2\/5))**(1\/19) assuming y is positive.\nAnswer: y**(387\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -3\/5 (c) 37 (d) 149.36 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*n + 2 = -0, -3*o = -4*n + 1. Let d be (3 - (-3076)\/(-987)) + (-320)\/(-3360). Is o greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2777 + -2775. Solve -9 = -5*a + c*n, -10 = 7*n - 2*n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.4 - -0.4. Let g = -2.6 + -0.4. Which is the closest to -1? (a) w (b) -4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j**2 - 8 + 8 + (j - 1 + 1)*(3*j - 2*j + j) - j**2 - 2*j**2 + 5*j**2 - 726*j + 392*j + 31*j**2 + 351*j to f + h*j**2 + n*j and give n.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 20*p**2 - 62*p - 48. Let n = -370 - -536. What is the remainder when n is divided by x(-1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*y**2 - y**2 + 185*y + 16*y**2.\nAnswer: 3*y**2 + 185*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4*(8 - (-93)\/(-12)) - -138154 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*b + b. Let c be (-420)\/54 - b\/9. Let f(a) = -a + 1. What is the remainder when 52 is divided by f(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - -31 - (2 - 0). Suppose -4*f + 43 = -5*j, -2*f - j + g = 3*f. What is the remainder when 14 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1210)\/(-14) - (-32)\/56. Suppose -5*d = -4*b - o, -4*d - 3*b = d - 66. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331498 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -249 + 250. Let p(o) be the first derivative of o**2 + 9*o + 5. Let q be p(-6). Put -4, q, l in decreasing order.\nAnswer: l, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 828172392 to the nearest integer?\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 425533095 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c - 4. Suppose 0 = 5*h + 5*o - 15, 0 = -4*h - 5*o - 5 + 16. Let p(v) = 2. Determine h*p(d) + 2*i(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 0, -154, 211, 3, -8 in ascending order.\nAnswer: -154, -8, -5, 0, 2, 3, 211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -46256?\nAnswer: 46256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16993*u + 35330.\nAnswer: 16993","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-87)\/(-12) - 2\/8. Suppose -5 = -2*r - 1. Let y(o) = 4*o**2 - 3*o + 3. Let j be y(r). Solve 0 = 4*g - 4*p + 20, -4*g + p = j + u for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 2*f - 4*w, -39*f = -41*f + 3*w + 64. What is the lowest common multiple of 517 and f?\nAnswer: 2068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 6 = 4*m. Suppose -3*w + 4079985 = 3*p, 0 = 4*p - p + m*w - 4079980. What is p rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {j: 7, u: 4, o: 5}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21466516 - -4?\nAnswer: -21466512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.038156 or 2?\nAnswer: -0.038156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -h - 4*m, -5*m - 16 = 3*h - 18 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-5*sqrt(99)*-2*2)\/(2*(sqrt(225) + sqrt(225)*1 + sqrt(225))*5).\nAnswer: -2*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 150474 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 161 (base 15) in base 10?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-4)\/(-1))\/2)\/((-26)\/(-143)). Let x(c) = -c**2 + 5*c - 16. Let y be x(v). Let g = y - -82. Solve g = d + 2*d - 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13783 and 423514?\nAnswer: 1253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 2, -5, -1, 82.\nAnswer: -21, -5, -1, 2, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n = -23*n + 990. Calculate the least common multiple of 126 and n.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213112181 is divided by 1095.\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8091352 to the power of 1\/2, to the nearest integer?\nAnswer: 2845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 2*w**5\/5 + w**4\/3 + w**3\/2 + w**2 + 2*w. Let k be m(-3). Let d = k - -67. What is d rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 10*p**2 + 2. Let w be y(-10). Suppose -5*i = w - 12. Solve -4*t = 2*l - 14, 4*l - i*t + 19 = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0067917 to 4 dps.\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001889766 to 6 decimal places.\nAnswer: -0.00189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-3 + 0 + 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + sqrt(704) + 1*sqrt(704) + -2 + sqrt(704))**2.\nAnswer: -128*sqrt(11) + 11268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 20, 30?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3997*p + 3998*p - 1 = -13*w, -2*p + 2*p + 3 = 3*p - 4*w for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (81 + -16)*1*-1. Let y = 52 + h. Let k(z) = 6 + 9*z + 4 + 3 - 4. Let g(a) = -4*a - 4. What is y*g(v) - 6*k(v)?\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 3*r**5\/20 + 5*r**4\/2 - 26*r**3 + 84*r**2 - 99*r + 15. Let o(k) = 0. Calculate k.\nAnswer: -14, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 5*c + 6 = 0, 4 = -3*d - 0*d - c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9148 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-5))\/(p*p**(-20)) assuming p is positive.\nAnswer: p**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 2:09 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05526263 * -0.35.\nAnswer: 0.0193419205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70456 and 4.\nAnswer: 70456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 3. Let d = b - 3. Suppose d = -4*x + x + 57. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 160412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 591 = -2*f + 593. Let p = 2 + -5. Let t be (p\/(-14))\/(6\/21). Put t, -1\/3, f in decreasing order.\nAnswer: t, -1\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -904, -1810, -2714, -3616, -4516, -5414, -6310?\nAnswer: -7204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 8 (b) -0.09 (c) 5\/6 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.28 smaller than -38\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -592 - -595. Solve k + 0 - c = 0, 18 = -5*s + k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -21\/10 (b) 2\/11 (c) 2 (d) 1290 (e) 114 (f) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m + 4. Let z be u(7). Suppose z*n = 14*n + 388. Is n a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*c - 5*p - 36 = 20*c, -2*c + 2*p + 10 = 3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 4:29 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 261 + -254. Solve 3*t + 1 = w for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*i = 28*i + 18*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 702010612 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -7*f**3 - 137*f**2 + 350*f + 488. Calculate z(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18117 + 5793 = 325*a + 4444 - 21484 for a.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -115, 3\/65, 3, -4, 0.06?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 14 = -16. Let x(c) = -c. Let h(a) = -a**2 - 7. Let p(g) = -h(g) + 6*x(g). Let l be p(m). Solve 3*t = -l*t - 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, a: 1, p: 1, m: 3, z: 5}. Give prob of sequence pjj.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cca when three letters picked without replacement from sasascca?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - sqrt(48))\/sqrt(6) + sqrt(2) + -2)**2 + (sqrt(8)\/(sqrt(8)\/sqrt(2)))**2 + -3 + 0 + sqrt(2) + sqrt(2).\nAnswer: 2*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a + 1. Let f be s(6). Suppose -2*k = -k + 5*q + f, -q - 5 = 0. Let i(u) = -5*u - 87. What is the remainder when k is divided by i(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2943 - -2946. What is the nearest to -2 in -6, h, 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s. Let h be (2 - (0 + 0)) + (-1905)\/15. Let d = h + 117. Let q(f) = 2*f. Calculate d*q(b) + 3*x(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/12 and -1\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zqzqzrvzzzqrvqqrrzz. Give prob of picking 4 z.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 7*h + 31 = 4*h, -3*z - 3*h = 3. What is the third biggest value in -5\/9, z, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -10*b**2. Let q(h) = 5*h**2 - 82*h. Calculate q(r(g)).\nAnswer: 500*g**4 + 820*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 174055660 to the nearest integer?\nAnswer: 13193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*a**3 - 6*a**3 - 131*a**3 + 272*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-172 - -183) + 1 + -44?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/15 - 62\/6. Let j(c) = c**2 + 9*c + 6. List the prime factors of j(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-255)\/17)\/(-75))\/(28\/10)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p + 16151 = 16261 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.96 + 0.04. Let d be ((-5)\/35)\/(24\/(-14)). Let n = d + 1\/6. Sort n, 3, j.\nAnswer: n, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 757777 is divided by 28600?\nAnswer: 14177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53 - 46.6. Round c to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 65 - 65 = 0. Solve g = 2 - d, 0 = -5*y - 5*g + 25 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 minus 57.7483?\nAnswer: -29.7483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.54 + 5.8. Let o = r - -10.74. Which is the fourth smallest value? (a) 5 (b) -1 (c) 0.2 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 861613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35526.\nAnswer: 2, 3, 31, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -k**6\/1440 - k**5\/480 + k**4\/8 + k**3\/3 - 25*k**2\/2 - 41. Let g(d) be the third derivative of p(d). Factor g(u).\nAnswer: -(u - 3)*(u + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5342391 to the power of 1\/2, to the nearest integer?\nAnswer: 2311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/3519*187*9.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -398 - -315. What is the third biggest value in k, -2\/3, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1081793128?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2539997m in centimeters?\nAnswer: 25.39997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6821997 and 2730.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6499659 and -26.3442.\nAnswer: -6499685.3442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -143, 21.4, 7\/11, -3?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -450, -449, -448, -447, -446, -445?\nAnswer: -444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-3) - 203962\/2409?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-60)\/14)\/(81\/(-7749)). Calculate the greatest common divisor of y and 560.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11426479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 106\/3147759 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1537576 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145023?\nAnswer: 3, 48341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*o + 19*o + 19*o to the form k*o + t and give k.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1736 and 650322960.\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 19*z - 127. Let v(h) = -29*h + 190. Let t(g) = -7*a(g) - 5*v(g). Let l be t(5). Which is greater: l or -18\/43?\nAnswer: -18\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (0 - (-6 + 20) - -8).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 2 + 20 - 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -5*q**4\/24 - q**3 - 17*q**2 - 3. Let x be t(-2). Put -5, -1, -0.1, x in increasing order.\nAnswer: -5, -1, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 + 2*t**2 - 9*t**2 - 5*t**2.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 - -44?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12560505 divided by 4\nAnswer: -12560505\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.926 + 5.35.\nAnswer: 16.276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3325646 and 341.\nAnswer: -1134045286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -27. Which is the smallest value? (a) k (b) -0.2 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + c + 20 = 0, -46 = r - c - 54 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pny when three letters picked without replacement from ynp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -25?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-10) + 2996\/140. What is the derivative of 51 + 71*o**2 - 30*o**2 - h*o**2 wrt o?\nAnswer: 40*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -20761, -41525, -62293, -83065, -103841, -124621?\n\"Answer: -2*y**2 - 20758*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22749 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 4*d - 124 = 3*v, -4*v = -4*d + 120. What is the remainder when d is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -30. Let z(x) = -65*x**y - 66*x**2 + 130*x**2. Let j(h) = -11*h**2. Give j(z(k)).\nAnswer: -11*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/10890 and 105\/1214026.\nAnswer: 600942870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99 and 88?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p**2 + 2023*p + 14*p**2 + p**2 + 3 - 6*p**2 - 2014*p as g*p + t*p**2 + r and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i - 203. Let x be l(52). Let h be x*(-8)\/(1120\/21). Which is the nearest to -0.1? (a) h (b) -2 (c) 0 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + 2*y + 4, 0*q - 4*q = -y - 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1060*n + 45483 - 45483 - 5*n**2.\nAnswer: -5*n*(n + 212)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.5 + 12. Let l = 7.8 - 5.8. Let r = j - l. Which is smaller: r or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w*w*w**(2\/7)\/w)\/w))\/(w\/((w**(-7)\/w)\/w)))**(3\/2)*(w**(-1\/3))**(5\/4)\/(w**0)**36 assuming w is positive.\nAnswer: w**(-1205\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1518\/(-69))\/((-4)\/2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 17*m**2 - 6*m + 6. Let p(b) = 407*b**2 - 143*b + 143. Let u(x) = -143*l(x) + 6*p(x). Let t(h) = 319*h**2. Let z(k) = -3*t(k) + 88*u(k). Give z(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -16 (b) -0.3 (c) 38 (d) 18\/191\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r + 6 = -q + 5*r, -q = -4*r - 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -352*f*v**2 - 88*f*v + 759640*f + 2*v**3 - v wrt v.\nAnswer: -704*f*v - 88*f + 6*v**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*z - 47*z + 8. Suppose z*m = -266 + 826. Calculate the remainder when m is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i - 2. Let m be d(-2). Let l(c) = -c + c**m + 1 - 6 - c + 2. Calculate the smallest common multiple of l(-2) and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 10*b = 15. Suppose -2*i = -r, r - 7 = -3*i + b. Suppose -i*h - 1 = -119. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 2608710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196\/12*-3 - (4\/38 - (-440)\/152).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*a - 491 - 1957 = 0. What is the smallest common multiple of 14 - (8\/2 + -4) and a?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 1 = -3*j + 5*p, -5*j = p - 11. Does 8 divide (7 + j + -41)\/((-2)\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -8253651*p - 2049. Let t be l(1). Round t to the nearest 100000.\nAnswer: -8300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6062.13 - -6062. Put 43, 2\/7, 0.4, 0.5, k in decreasing order.\nAnswer: 43, 0.5, 0.4, 2\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/16 of a century in months?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35209028 and 17604514.\nAnswer: 35209028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 310340855 and 8155?\nAnswer: 1165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 18 = -4*a, -2*a - 12 = 2*a. Let u(t) = 20*t + 12. Let b(d) = d. Let r(i) = -24*b(i) + u(i). Does 4 divide r(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2342 or 3?\nAnswer: 2342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*t = -70. Suppose 0*h = 3*h. Suppose h = -5*v + 11 + t. Solve w = v*a - 3*w + 27, w = -a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4491\/(-2)*1\/((-6)\/4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 20 = -3*f, -5*x + 20 = -4*x + f. Let v = x + -17. Let q(t) = -t**3 + 3*t**2 - t + 1. Calculate q(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jtqhjhththtthtjqjqq. Give prob of sequence htqh.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*1*(-2)\/5. Let t(n) = 8*n**2 + 4*n**3 - 19*n**s - 10*n**3. Let l(o) = o**3 + 2*o**2. Suppose 7*a - 99 = -2*a. What is a*l(k) + 2*t(k)?\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55733694?\nAnswer: 2, 3, 9288949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 310 and 270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3 = -4*b - 10, -v - 4 = -3*b. Let s(j) = -11*j - 2. Let m(n) = -9*n - 3. Let o(f) = -6*m(f) + 5*s(f). What is o(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 - -29 - ((0 - 2) + 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 140 in -0.5, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 13*l**2 - 3*l. Let i = -20 + 23. Let c be v(i). Let f = -53 + c. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 278, 1245, 3050, 5831, 9726, 14873, 21410, 29475?\nAnswer: 39206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19265 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6422911?\nAnswer: 11, 23, 53, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 + 0*t**2 + 0*t**2 + (2*t + 0*t - 4*t)*(108 + 2*t - 817 - 1754).\nAnswer: -3*t**2 + 4926*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2268368126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 4*o + 59 = 0, -o = 3*j - 559 + 525 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - -0.9. Let x = s + -4. Let l = -60 - -125\/2. Sort l, -0.1, x in descending order.\nAnswer: l, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 8*m**2 - 6. Let n be r(-8). Let a(w) = -w - 1. Determine a(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k. Suppose 3*t = -t - 4. Let y be t + (-3)\/(-1)*1. Let d(m) = m**y + m**2 - m + m. What is n(d(q))?\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -85 + 4. Let k be 18\/o - (-1588)\/18. Suppose 5*p - 44 = -4. What is the greatest common divisor of k and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.42 (b) -1\/48 (c) 23545\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -19*x**3\/6 - 19*x**2 + 5*x. Let y be j(-16). Suppose y = 102*u - 100*u. Does 26 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w - 5*w = -2072. What is the units digit of (1 - 2)*2*w\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + 5.22?\nAnswer: 22.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 11*k**3 - 2*k**2 + 2*k. Let z be j(1). Suppose -r + 1 = -11. Is r greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -3, -0.2, 6, -1\/3 in ascending order.\nAnswer: -32, -3, -1\/3, -0.2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3\/11)*b)\/b*b*b**(-13))**(-46) assuming b is positive.\nAnswer: b**(6210\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*v + 3478 = -267. Is 107 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 7) in base 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**3 + 206*r - 206*r + 29*r**2 - 29*r**2.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 165850, 331688, 497522, 663352, 829178, 995000, 1160818?\n\"Answer: -2*r**2 + 165844*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/163 and 27\/513287?\nAnswer: 513287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5725*h**3 - 42*h + 156 wrt h?\nAnswer: -34350*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a milligram in micrograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 times 6?\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 50, 44, 38?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50862735 is divided by 2770?\nAnswer: 2765","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/42 and -145\/8010252?\nAnswer: 56071764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 - (5 + 2 - 19 - (-4 + -10 + 14)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -129.000136 - -129. Round p to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 73, 70, 67, 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -76, -179, -326, -517?\nAnswer: -752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98526 = -5*q + 2*q - 3*n, -2*q = n + 65688. Let s = q + 65451. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 16. Let j(u) = -4*u**2 - 6*u + 2. Let t(b) = -b**2 - b. Give o*j(s) + 6*t(s).\nAnswer: -2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 248*f. Let t be g(-1). Let y = 423 + t. Suppose 0 = 5*c + 5*o + y, -2*c + 3*o = -0*c + 50. Round c to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, r: 5, z: 5, p: 2, l: 6}. What is prob of sequence pl?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 203 - 165. Let n = -38 + f. Is n less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6 + (3 - (-9252)\/9).\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 2 - 5 - (-174 + 55 - -76).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + p**2 - p + 24. Let d be q(0). Let u be d\/8 + 3 + -1. Solve 18 = 3*f + 3*i, -4*f + u*i + 3 = 2*i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/46 or 40?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (105\/(-28))\/((-6)\/(-640)). Round m to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 5*k + 6. Let g(m) = 2*m**2 + 11*m - 12. Let w(f) = 2*g(f) + 5*n(f). Determine w(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/2 - 150\/30.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + 3*q + 104, 688 - 531 = 3*t - 4*q for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86000, -172005, -258018, -344039, -430068?\nAnswer: -516105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -22*z - 1. Let v be c(-8). Let m = v - 121. What is the remainder when m is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 13, -5, -283 in decreasing order.\nAnswer: 13, 2, -5, -283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 6*z - 11. Let o(a) = -a + 25. What is o(z)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -q + 2, -5*f - 3*q = -7*q - 6. Suppose 5*l = -p - 3*p - 1, 8 = -4*l - 5*p. Let o = l + f. Let d(j) = -7*j**2 - 1. Calculate d(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**3 + 3*t - 1. Let b(i) = i. Let h(u) = u**2 + 5*u + 3. Let l be h(-3). What is l*b(w) + j(w)?\nAnswer: -2*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 632 is divided by 141.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i - 24*i - 4*i**2 + 2*i**2.\nAnswer: -2*i**2 - 25*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 2582?\nAnswer: -15492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 882190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -4*i**3\/21 + 60*i**2\/7 + 256*i\/7 - 918. Factor v(c).\nAnswer: -4*(c - 32)*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -51*d. Let w(g) = -1126670*g. Give -22164*t(p) + w(p).\nAnswer: 3694*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -r**6\/60 + r**5\/15 - r**4\/12 - 3*r**2\/2 - 4*r. Let l(y) be the first derivative of c(y). Suppose l(z) = 0. Calculate z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -9*g + 10*g - 4 + g. Give b(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1188)\/2079)\/(-1 + 10\/14). Solve -46 = -u*w - 54 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 22 = -3*i, 11*w - 16*w = i + 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11956 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/27 - 1392\/(-216)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29 or -2\/80377?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2902164 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -421261815*z - 421261819*z + 842523640*z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of y**8\/168 + y**7\/105 + 2*y**2. What is g in h(g) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-83475)\/3675)\/((-24)\/14)*-4*(-3)\/(-3).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -885*n + 890*n + 22 + 13 = 0 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + b**2 + 19*b - 5. Give a(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4340 = 33*x - 23*x. What is the highest common factor of x and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(260)\/(sqrt(500)*2))\/(((sqrt(1764)*1 - sqrt(1764)) + sqrt(1764))\/sqrt(9)))**2.\nAnswer: 13\/19600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zsiippziiszzsss. What is prob of picking 1 z and 1 p?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-3) - (-12*10\/(-300) + (-3693)\/3420).\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 412, 1, -6.\nAnswer: -6, 0, 1, 3, 412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -5 (c) -2\/9 (d) 2\/15 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + 0*s**2 - 2*s**2)*(-8*s**3 - 7 + 7) + (-4*s + s + s)*(-28*s**2 - s**4 + 28*s**2).\nAnswer: 34*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1.793 (b) -1 (c) 92 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/6 + 3604\/(-24). Is z >= -150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106028957099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.2647 and 0.0124255778.\nAnswer: 1.2771255778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -122504 - -35?\nAnswer: -122425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1032 - 3?\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and 2923312.\nAnswer: -29233120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 208\/6 - (-4)\/12. Suppose -5*n + 115 = -s. Suppose 3*a - 185 = -4*g, -25 = -g + a + n. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2139*v**3 - 2143*v**3 - 2138*v**3 + 4 + 6419*v**3 - 318*v in the form y*v + k*v**3 + i*v**2 + l and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -31222499 less than -31222501?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, h: 5, o: 9, s: 1}. Give prob of sequence nhh.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5*p - 8 = 0, -10*p + 6 = -2*g - 12*p. Let c(t) = -3*t**2 + 8*t + 2*t - 3 - 3*t + 4*t**2. Determine c(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72326842.\nAnswer: 2, 7, 738029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/(k*k*k*k\/(k\/k**(-16))))**(-11\/4))**(-44) assuming k is positive.\nAnswer: k**1936","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/12 and 33\/3886.\nAnswer: 23316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 171 + -289 - (-69 - 12)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33897468 - 1.\nAnswer: -33897469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42140.23342 - -42140. What is g rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z*z**(-8)*z*z**(7\/4)*(z\/z**(-2))\/z**(-10) assuming z is positive.\nAnswer: z**(43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i. Let f(u) = -29*u**2 + 2. Let n(y) = 487 + 30*y**2 - 245 - 245. Let g(b) = 3*f(b) + 2*n(b). Give g(c(t)).\nAnswer: -27*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1801493 - 1a?\nAnswer: 1801474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118652485?\nAnswer: 5, 7, 29, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124, 266, 434, 628, 848?\nAnswer: 1094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 4 (c) 5 (d) 0.209 (e) -3 (f) 75.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03117 + -0.4?\nAnswer: -0.36883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*q**4 - 1695*q**2 + 78*q - 2427 wrt q.\nAnswer: 408*q**2 - 3390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v - 1. Let q(y) = y. Let f(m) = -7*q(m) + 3*w(m). Suppose 3*h - 11 = -32. What is the remainder when 10 is divided by f(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 112 = l. Suppose -t = -5*a - l, 4*a + 4*t + 34 = 2. Let z be (0 + a)\/(-1 - 0). Let h(u) = -u**3 + 4*u**2 - 5. Determine h(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17274 and 9522?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dr when two letters picked without replacement from drkow?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 25*z**2\/2 - z + 6. Let r(b) = 26*b - 1. Let o(w) = 3*d(w) - 4*r(w). Let f be o(-3). Round f to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/7 - 9) + (-3 - 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21.593742 months?\nAnswer: 0.17994785","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/2 of a century?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160875 + 4203.57.\nAnswer: 165078.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -891 * -2.695.\nAnswer: 2401.245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -75*-36844\nAnswer: 2763300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 495998733 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: Let w = 679.93 + -680. What is the closest to 0 in 0.2, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -4311486\nAnswer: -13\/4311486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of y**4\/4 + y**3\/3 - y**2 - 6*y - 4. Let g be b(-5). Let h = g - -149. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/6*(3 - 1). Suppose -y - 6 = -1, -4*x - 75 = r*y. What is the closest to x in -5, -3, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.6384534 to 1 dp.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-608)\/(-12)*(-18)\/8. Let k be ((-4)\/(-4))\/(6\/q). Is k\/38 - (-106)\/4 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 499 and 6.\nAnswer: 2994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14844042?\nAnswer: 2, 3, 824669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 751506580.144?\nAnswer: -751506579.744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 26*n + 43*n + 47*n - 154*n. Let y(b) = 4*b. What is k(y(u))?\nAnswer: -152*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmg. Give prob of sequence mm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -i**7\/30 - i**5\/12 + 5*i**2\/2 + 8*i. Let n(d) be the first derivative of k(d). What is the third derivative of n(o) wrt o?\nAnswer: -168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*p + 11*p + 140 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 4:12 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence odd when three letters picked without replacement from mmbodobbobrdrbobro.\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 7 = -8*s. Let f be (s\/2)\/(3*(-2)\/208). Solve 48*h**3 - 3*h**5 + 5*h**5 + 2*h - f*h**3 = 0 for h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -184 (base 16) to base 7.\nAnswer: -1063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-4\/15)\/y)\/y)\/y*y*y*y)\/(y\/(y*y**9*y*y)*y*y)*y*y**(40\/3)*y\/(y\/y**(-27)) assuming y is positive.\nAnswer: y**(-59\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - 8. Let k = 43 + o. Suppose -v + 5*s = 2 + 22, -4*s = 2*v - 22. What is the third biggest value in k, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -5, 3799 in ascending order.\nAnswer: -5, 0.5, 3799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-90)*((-33)\/12 - 1)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (3*sqrt(5324))\/(sqrt(3564)\/sqrt(11)))**2.\nAnswer: -44*sqrt(11)\/3 + 1367\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**4 + a**4 - 5*a**4 + (0*a**3 + 0*a**3 + 2*a**3)*(-2*a + 4*a - a) + 3*a**4 + 5*a**4 - 10*a**4.\nAnswer: -7*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -229, -253, -79, 287, 839, 1571, 2477, 3551?\n\"Answer: -d**3 + 105*d**2 - 332*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 64638349 a multiple of 1511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-62)\/(-15) + (-2)\/15. Solve -2*f - 3*d - 22 = -9, 0 = -4*f + s*d - 16 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*g - 1041 = 1811 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**3 - 4*g**2 - 2*g. Let h = 5 + -10. Let j(a) = a**4 - 5*a**3 + 8*a**2 + 5*a + 1. Let i(r) = h*k(r) - 2*j(r). Determine p so that i(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03543 take away 1485?\nAnswer: -1485.03543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - i**2 - 2*i - 2. Let p be t(-2). Suppose p = d - 7. Calculate the remainder when 123 is divided by (d\/(-39))\/((-1)\/93).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 495 and 594.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20909 + -20906. Solve -2*v = j + 8, 4*v + f*j + 14 = -0*j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 19*k**4\/12 - k**3\/2 - 4*k**2. Calculate the remainder when y(2) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a + 28 - 140 = 0 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of y**3\/6 - 2*y**2 - 13*y. Suppose 14*m - 6 = 78. What is k(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150313 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -308*r + 25. Let c be u(-11). Let w(v) = -2314*v**3 + 2*v - 1. Let l be w(1). Let d = l + c. Round d to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 10, -151, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**3 - 940990*v**2 - 44273109005*v = 0.\nAnswer: -94099, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 800*c**4 - 2285*c**3 - 5215816*c**2 wrt c?\nAnswer: 19200*c - 13710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of l**6\/30 + l**5\/5 + 7*l**4\/20 - l**3\/15 - 4*l**2\/5 - 4*l\/5 + 221. Determine j so that o(j) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/612 and -13\/2384.\nAnswer: 364752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-1)*15\/60.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1004*i**2*p**3 - 2*i**2*p**2 + 21*i**2*p - 415*i*p**3 - 99*i + p**3 wrt p.\nAnswer: 6024*i**2 - 2490*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3681391 is divided by 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3900 divided by -4.\nAnswer: -975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 9:39 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9602 is divided by 9545?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - (1 + -1 - (-14 + 14 - -6)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 3205 (b) 0.1 (c) -0.3 (d) 0.185\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 + -42. Let b = c - -33. Let p = 30 - b. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/4 (b) 6 (c) -290\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o - 14. Let s be v(8). Is (s\/6)\/((-5)\/(-5835)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 1, -82, -5, 49 in increasing order.\nAnswer: -82, -5, 1, 2, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 5203?\nAnswer: 2\/5203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -2 - (-1 + -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*((-2)\/2)\/(200\/(-80))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5079140, -5079142, -5079144?\nAnswer: -5079146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f - 14. Let c be 9\/12*4\/2*6. Let d be i(c). Calculate the remainder when 8 is divided by -4 + -14*d\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14599409 or -14599410?\nAnswer: -14599410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2))\/u)**(1\/11)\/(u*u*u*u**0)**(-42) assuming u is positive.\nAnswer: u**(1384\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154092480?\nAnswer: 2, 3, 5, 151, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 217566595?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 2*t - 4*t)*(-22*t + 45*t - 2 - 27*t).\nAnswer: 8*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 567 and 371.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 - ((-3)\/8 + 6\/16). Let x(i) = i**3 + 6*i**2 + 6*i + 3. Calculate x(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 75.7 - 62.7. Let v = -0.4 + 4.4. Which is the closest to -1? (a) v (b) -1\/2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 12 = 2*y - 4*b, y - 3*b = -16. Put y, -3, -2 in ascending order.\nAnswer: y, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 98 + -94. Solve -3*m + 12 = -3*o, 3*o - 2*m + m = -h for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/7 of a week in hours?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.17916879 to 3 decimal places.\nAnswer: 0.179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*u**3 + 76*u**3 + 26*u**3.\nAnswer: 68*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 6 - 0 - (1 - (-10 + 15)) - -61.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 20368.\nAnswer: 20368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 412.0563 grams to kilograms.\nAnswer: 0.4120563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.99 times -0.1?\nAnswer: -0.199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -487.902?\nAnswer: -975.804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-4)*7*6. Let h = -168363 + 168386. Solve 8*t - c = -h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*d**2*j - d**2 - 242*d + 37*j + 4 with respect to j.\nAnswer: 3*d**2 + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m + 2013 + 2339 = 0. Which is smaller: m or -1283\/5?\nAnswer: -1283\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098957647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 3 - 3. Suppose 4*t + j - 12 = 6*t, m = -5*j. Let i be (75 + -3)*(2012\/t + 2). What is i rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -226*j**2 + 565*j**2 - 100*j**2 + 5 - 133*j**2 - 2*j**3 to b + o*j + h*j**2 + c*j**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + 4\/(-12)*-51. Suppose -10*s + c = -5*s. Suppose g - x + 7 = -0*x, -2*g = 4*x - 4. Sort s, g, 1 in descending order.\nAnswer: s, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 9. Let w be (-3)\/(1\/(6\/s)). Let f(t) = -2*t - 1. Let o(d) = -5*d - 3. Let x(h) = -11*f(h) + 4*o(h). What is x(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w**3 - 175*w**2 + 193*w**2 + 34*w**3 - 18*w**2.\nAnswer: 28*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**2 + 12*s + 128. Is 77 a factor of z(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y. Let i be (4\/(-5))\/(24\/(-60)). Let a(s) = -12*s. Calculate i*a(p) - 9*f(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21656943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-14)*p*p\/(p**0\/p) assuming p is positive.\nAnswer: p**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 825 and 75?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + m)*(-5*m + 15*m - 30*m + m - 1 + 1 - 4*m - 4*m + 14*m + (3 + 2*m - 3)*(0 + 5 - 4)).\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 920961 + 60412. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence umc when three letters picked without replacement from mlcpmmpucclclccm?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nejejjeeemeuh. What is prob of picking 2 e and 1 j?\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b + 27 = 10*b. Solve 3*g + 2*h + b = 12, -2*g + 2*h = -4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -87 - -87.1. Is 7\/4 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 3800368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -204516625 by 5.\nAnswer: -40903325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-6) - 74\/(-12). Let a be 0 - 2 - 203\/(-24). Let p = d - a. Is 0 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (5 + -2 - 9 - 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1022003 (base 4) to base 6.\nAnswer: 33535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(5) + sqrt(15)\/sqrt(3) - sqrt(5)) + 5.\nAnswer: sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, r: 1, x: 2, e: 1, l: 1, d: 1}. What is prob of sequence xj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -14*v - 12. Let o be j(-5). Let l = 83 - o. Solve l = -5*s, -3*y - 4*s - 30 = 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -29*u**2. Let v(p) = -944*p. Calculate v(d(s)).\nAnswer: 27376*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56252 is divided by 4097.\nAnswer: 2991","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/22 and 111\/179549860.\nAnswer: 1975048460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eefeieiffiieffifeefe. Give prob of picking 4 f.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -7*b**5\/24 - 13*b**4\/8 - 3*b**3\/2 + b. Let m(u) be the second derivative of j(u). Differentiate m(s) with respect to s.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 39*j**2 + 12*j**2 - 52*j**2. Let h(x) = 34*x - 9. Determine z(h(y)).\nAnswer: -1156*y**2 + 612*y - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -322320 + 1331312?\nAnswer: 1002332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 5*p - 10. Let d be f(-7). Suppose r + 20 = 2*r + 4*u, d*r - 5*u + 4 = 0. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20.3 greater than or equal to -2.619?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d + 0 + 0. Let u(v) be the third derivative of -v**6\/180 - v**3\/3 - 2*v**2. Let o(q) be the first derivative of u(q). Determine o(j(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (21\/10 + 6\/15)\/(372 - 373). What is the closest to 0.1 in 1\/3, z, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -15. Which is the nearest to -1\/4? (a) -5 (b) r (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31776 = -180*q + 250*q + 378*q + 214*q for q.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 340651801*t**3 - 199033927*t**2?\nAnswer: 2043910806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v - 3*v + 2*v + (2 + 2 - 5)*(v + v + 0*v) to m + r*v and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 9*z = r, 0 = -z - r for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 976\/5, -0.3, 1928?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -47536, 0, -15\/8?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 4:55 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 117 + -84. Let q = -4 - -8. Let g be 176\/(-20)*(-10)\/q. Calculate the highest common factor of g and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 3:51 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5*p + 111*p**3 + 54*p**3 + 7*p + 2*p - 2. Is t(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v. Let i(t) = -65984*t + 2400. Let x(r) = -1245*r + 45. Let l(k) = 3*i(k) - 160*x(k). Give l(h(a)).\nAnswer: -2496*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -255\/4 + 64. Let g = -1396 - -1392. Let y = -8 - -13. Which is the third smallest value? (a) r (b) y (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y + 20376*y**2 - 3*y**4 - 12 + y**3 - 20376*y**2 in the form a*y + w + m*y**3 + o*y**4 + s*y**2 and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 55 - 37 - (-3 + (-3 - 6))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 509730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence soto when four letters picked without replacement from ssottostosototoosts.\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 183516 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43.3 + -43. What is the second smallest value in c, -8, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = -3*g + 320. Let m(a) = a**3 - 9*a**2 - 13*a - 3. Let c be m(10). Let f = c + g. Which is greater: f or -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 a factor of 298039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 699124 (b) -0.3 (c) -3\/4 (d) 9\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 934546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24 - -433330104?\nAnswer: 433330132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/2827368 and -167\/28273680.\nAnswer: 28273680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 10. Let f = -0.081 + 1.691. Let v = -4.61 + f. What is the nearest to p in 3, -1\/74, v?\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 3:24 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f. Let j(m) be the second derivative of -1\/12*m**5 + 0*m**4 + 0 + 4*m + 0*m**3 - 5\/2*m**2. Let s(w) be the first derivative of j(w). Give c(s(n)).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 4) in base 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/24 and 97\/1464.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*x. Suppose 0 = -4*y - x*y + 12. Suppose m - 2*m + 24 = 5*v, -y*m + 2*v = -4. What is the remainder when 11 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -143*m**3. Is n(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 9:15 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0195916 millilitres to litres.\nAnswer: 0.0000195916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-6))\/(a*a\/(a**(-8)*a)*a)*(a\/(a\/(a**(-3\/2)\/a)))\/a**(-4))\/((a\/(a\/(a*a*a\/(a\/(a*a**1)*a))))**(-11)\/(a**(-2))**(23\/3)) assuming a is positive.\nAnswer: a**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide ((-14)\/(-28))\/((-2)\/(-2112))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -24*q + 546. Determine j(23).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 725 = -5. Let j = 56 - t. List the prime factors of -10*(-4)\/(j\/(-1))*1.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97703879 is divided by 223?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and (-2596)\/(-330) - (4\/15)\/(-2).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/18 and 113\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -47*m + 6. Let u(r) = 3. Calculate 2*d(w) - 4*u(w).\nAnswer: -94*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, 4, 31, 68, 115, 172?\nAnswer: 239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1507)\/137 + 3\/(-15) + (-376)\/(-5)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and (2\/5)\/(374096\/26720 + -14)?\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-9)*-3 + 2. Suppose w*d - 4*d + 3 = 0, -5 = 2*c - 3*d. Solve -3*z = -5*z - c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5664 + -3508. Let s be 4\/6 - 26\/(-6). Suppose z - l = 4*z - 2*t, 0 = z + s*t + 730. Round z to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*n + 12, 4*n - n = 12. Suppose t + z - 7 - 34 = s, 49 = t + 3*z. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q - 4. Let w be g(-6). Suppose -5*h = 3*k - 17, 2*k + 2*k = -4*h + w. Suppose -s - k*s = 0. Solve 4*z - 6 - 8 = 5*d, 5*d - 5*z + 15 = s for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**3 - 36*b**2 + 147*b + 1764 = 0. Calculate b.\nAnswer: -12, -7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -219*x**4 + 6*x**3 - 9*x**2 + 44*x?\nAnswer: -5256*x + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**5 + h**5 + h**5 + (-3*h**4 + 2*h**4 - h**4)*(-3*h + 13*h + 8*h + (h - h - 2*h)*(12 - 29 + 10)).\nAnswer: -65*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/(-9)*3\/15 + 33852\/28560.\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6250396343\/33 - 189421893. Let h = q - -15942. Find the common denominator of h and 91\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 17*a**2 - 53*a - 133. Let h be p(20). Solve h*b + 13 + 22 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11264 + 12092. What is the highest common factor of h and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0.1. Let o = -187268 - -187272. Which is the closest to 0? (a) r (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/(sqrt(9) - 2*sqrt(9)*-1))**2 + (sqrt(1088)*-2 - sqrt(17) - (sqrt(85)\/sqrt(5))**2*-2).\nAnswer: -17*sqrt(17) + 323\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-2) + -6 + 30. Suppose -3*l + 2*l = -a. 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: Suppose 0 = -10*r + 13*r. Solve -v - 2*v + 15 = r for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 4, 2, -0.0644, -3?\nAnswer: -0.0644","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(13\/4)*h)\/h*h\/h**(5\/4)*((h*h**(-13))\/h)\/h**(2\/11))**4 assuming h is positive.\nAnswer: h**(-448\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -243574575 or -243574572?\nAnswer: -243574572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*(sqrt(2057) + (sqrt(2057) + 0)*-3 - -4*((sqrt(2057) - (sqrt(2057) + (sqrt(2057) - 2*sqrt(2057)))) + sqrt(2057) - sqrt(2057))))**2*5.\nAnswer: 82280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1103*f*p**2*v - 5*p**2*v + 10*p**2 - 3 wrt f?\nAnswer: -1103*p**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -91 + 168. Let c(z) = z**3 - 6*z**2 + 6*z + 2. Let a be c(5). What is the highest common divisor of a and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123957 divided by -4591?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -20*m**2 - m**3 - 1 + 15*m**2 - 2*m + m - 23*m**2. Let o be -5 + 8 + -6 + -25. Is x(o) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110726 to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -712686 + 457867. Let b = 73419 + w. Round b to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16.5 + -19.5. Sort 1.1, 2\/15, b, -2\/17 in increasing order.\nAnswer: b, -2\/17, 2\/15, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 3.2473?\nAnswer: -3.3473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h - 10. What is d(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 57.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1781 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/16146 and 67\/312?\nAnswer: 64584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/7 - 1068*s\/7 - 6480\/7.\nAnswer: 2*(s - 540)*(s + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27397, -109558, -246499, -438226, -684745?\nAnswer: -986062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s - 121 + 121. Let m(t) be the first derivative of -62*t**3\/3 - 553. Determine b(m(d)).\nAnswer: -124*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/33 and -76\/255.\nAnswer: 2805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -13*s. Let n(x) = -23*x**2 - 23*x**2 + 87*x**2. Calculate n(z(h)).\nAnswer: 6929*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15171 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -32580000 rounded to the nearest one hundred thousand?\nAnswer: -32600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1252593 + -1252502.99592. Let n = d - 90. Round n to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 15. Let c = -11 + k. Let q = -0.2 - 0.8. Sort -3, q, c in decreasing order.\nAnswer: q, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44152 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7547907233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 1\/3, 5, 0.5, 239.\nAnswer: -5, 1\/3, 0.5, 1, 5, 239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4931, -19875, -44797, -79697, -124575?\n\"Answer: -4989*a**2 + 23*a + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2460 + 2396 - 100*v**3 + 2394 - 9580 + 2445.\nAnswer: -100*v**3 + 115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and 336331.\nAnswer: 336329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -960 and -322.\nAnswer: -1282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 a when two letters picked without replacement from {a: 1, t: 1, o: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -12.8 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -3\/13, 1, -107 in descending order.\nAnswer: 1, -2\/15, -3\/13, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -49*t - 332 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*z - 65 = 0, -2*z + 68 = 2*m - 46. What are the prime factors of m?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**5*v - 21698269*i**3*v**2 + 12*i**2*v**2 + 76*i**2*v - 6*i**2 - 9*i*v**2 - 8*v**2 wrt i.\nAnswer: -120*i**2*v - 130189614*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2085100286 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*f = -3300. Let b(i) = -344*i**3 + 2*i**2 - 3*i + 2. Let d be b(1). Let q = d - f. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 7*b + 5*b + 113294, -2*t = 2*b - 56652. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 7*m + 6. Suppose 5*i + 4 = 3*r + 4*i, -r = 2*i + 8. Suppose 0 = 5*p + 5*t + 3 - 8, r = p - 3*t - 13. Calculate d(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2 + 9*f + 62*f**2 - 16*f**2 - 8*f. Let k be r(-1). Let d = -27 + k. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -2222222001?\nAnswer: 2222222000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -459 >= -118.2934?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 367163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**15)**(-1\/13) assuming a is positive.\nAnswer: a**(-15\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*n - n + 2*n)*(-n + n - 2*n) + 2*n**2 - 2*n**2 + 2*n**2 + (9 - 3 + 5)*(0 - 2*n + 0)*(-2 + 2 + n) to the form z*n**2 + u*n + p and give z.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 9*a + 3. Calculate y(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -26*u - 196. Let w be m(-27). Suppose 4*z = 3*z + 3*b + 265, 2*b - w = -2*z. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*v**5 - 308*v**3 + 473*v**2 + 13*v**5 - 16*v**5 + 311*v**2 + 32*v**4 + 15*v**5.\nAnswer: -v**2*(v - 14)**2*(v - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 25*h**2 + 3*h - 61. Let q be i(25). Suppose 34965 = -q*m + 134575. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1464)\/549*9\/6*14*(-2)\/(-2)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 3*f + 4, 0 = -5*f + 2 + 8. Let y = v - -4. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 times 462535?\nAnswer: -18038865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 57018911, 57018910, 57018909?\n\"Answer: -r + 57018912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67692003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 10*l**2 + 5*l - 81. Is 18 a factor of u(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72 - 4*l - 72)*(2 - 7 + 7).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -dddfb5 + 0?\nAnswer: -dddfb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6883110 a multiple of 370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, f: 3}. Give prob of sequence ssf.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(8)\/(sqrt(576)*-2 - sqrt(576) - sqrt(576)))**2.\nAnswer: -sqrt(2)\/6 + 18433\/1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6341 and 90266.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0579651931 rounded to 6 dps?\nAnswer: -0.057965","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000008608674 to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6902831 is divided by 15171.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -16089577 minus 0.052064?\nAnswer: -16089577.052064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -7 - -2) + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 753 + -735. What is the least common multiple of (-3 + -3)*(-120)\/r and 3?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3332 and 1113868.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 - (11 + 1 + -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.6 - 2. Let p = -3.99 - -4. Let y = 4.99 + p. Which is the second biggest value? (a) n (b) y (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 240, 6, 3 in decreasing order.\nAnswer: 240, 6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-147)\/(-15) - 1\/(-5). What are the prime factors of (-4)\/m*(-4 - 16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 0) + (25 - (11 + -3) - 4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 2:09 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -913826 by -8621.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) -5 (c) 71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, j: 1, w: 2, q: 4, m: 1, v: 3}. What is prob of sequence qyq?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + -5 + -29 - 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.43764 months to years.\nAnswer: 5.28647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/42 and -87\/4055756.\nAnswer: 85170876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 10) to base 14\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-92)*(2 - 64\/40). Which is the closest to 0? (a) 1 (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*r**3 - 3 + 7 + 9*r**3 + 25*r**3 - 9*r**3 as l + b*r**2 + c*r + w*r**3 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-225)*-45 + (-4 - -5 - 15)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 107*a - 22. Is o(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -4270\nAnswer: -4267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 5*s**4 - 44*s + 26. What is the first derivative of i(v) wrt v?\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 8:35 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**5\/10 + h**2. Let s(a) be the second derivative of 0*a**2 + 0 - 1\/6*a**3 - 2*a. Calculate s(r(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 407214, 407275, 407336?\nAnswer: 407397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - -2 - 2)\/1. Suppose 0 = -5*l + u*l + 32. Calculate the remainder when l is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 16 = 4*b, -5*b + 91 - 45 = 2*h. Solve -62*y = -61*y - h for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3527890 is divided by 167.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + -23. Let a(p) = 0*p**2 - 10*p - 7*p**2 + 6*p**m + 13. What is the smallest common multiple of 4 and a(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 + 21 - 43 + 56*f)*(0*f + f + 4*f).\nAnswer: 280*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 - 40. Let y(p) = p**3 + 5*p**2 - 5*p + 8. Let w be y(-6). Sort -5, u, w in ascending order.\nAnswer: -5, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/15 + (-1)\/((-50)\/10).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70960 is divided by 651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from iigiiigii.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -0.375.\nAnswer: 3.625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 180 and 35?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -1)*(-5 - -4). Suppose -t + 6*t - 290 = f. Let a be 1\/(-2) + t\/4. Calculate the highest common factor of 98 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from liokkakclail. Give prob of picking 1 l, 2 a, and 1 c.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/((-42)\/4)*3. Suppose 0 = 5*s - g*u - 17, 3*s + 2 = -u + 21. Solve -3*z - s*p = -2*p - 3, -p + 5 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2805 + 2800. Let q = 114 - 113.9. Which is the closest to l? (a) 9 (b) 0 (c) -2\/5 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 87*t - 7. Let r(n) = 43*n - 4. Let p be (-1 + 13)\/(10\/30*(-13 - -7)). Give p*a(q) + 11*r(q).\nAnswer: -49*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 10:23 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 228474403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a935 (base 15) in base 9?\nAnswer: -402825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-6)*180\/(-24). Let a = -42085\/12 - -3514. Find the common denominator of a and (-57)\/32*j\/(-6).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 102 and 2822.\nAnswer: 8466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 212, -4, 1, -3 in increasing order.\nAnswer: -4, -3, 1, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (7 - -7) - -10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6884935001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 977 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1305 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*b**2 - 11*b**2 + 4*b**2 + 3*b**2.\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1441314 and 630?\nAnswer: 7206570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -185*a + 191*a - 18 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -61*k**4\/6 + k**3\/6 - 181*k**2\/2 - 2*k + 153. What is the second derivative of t(p) wrt p?\nAnswer: -244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13831534*r**4 + 152*r**2 + 5301*r + 4 wrt r?\nAnswer: 331956816*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 9*k + 90. Give q(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxqqxxxxx. Give prob of sequence xq.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 535791?\nAnswer: 3, 178597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/1 - (-2 + 5). Suppose -2*w = -w - z*n - 17, -15 = 5*w + 5*n. Solve 3*b + 11 = -w for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36198 to the power of 1\/2, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*u + 142*u = -413*u - 20801 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-96))\/(3 + (286\/18 - 19))?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 2:42 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)\/((sqrt(81) - (sqrt(81) + -4*sqrt(81)))\/sqrt(9)))\/(sqrt(108)*3*-3).\nAnswer: -sqrt(3)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 7*r = -13 - 84, -3*p + 5*r = -83. What is the highest common divisor of p and 286?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 2*a - 17227, -53*a + 5751 = b - 58*a. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25307365 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 24 = -29. Suppose -4*k + 4*k = -b*k. Let u(o) = o - 6. Determine u(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 81*r**4 - 1203?\nAnswer: 324*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 8, -18, -4, 17 in increasing order.\nAnswer: -18, -4, -3, 8, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-416)\/168)\/13)\/(10\/(-45)). Determine y, given that 8\/7 + q*y**2 - 2\/7*y**4 - 4\/7*y**3 + 16\/7*y = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -206*m + 1. Let v be p(-1). Suppose 2*b + 17 = -5*q + 88, 0 = 4*b + q - 97. What is the greatest common divisor of b and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 0*g**4 + 0*g**5 - 7\/6*g**3 - g + g**2 + 10\/7*g**7 + 0*g**6 - 17. Find the second derivative of s(c) wrt c.\nAnswer: 1200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6402?\nAnswer: 2, 3, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*d + d**5 - 14*d + (5*d**5 - 5*d**5 - 2*d**5)*(14 - 11 - 6) - 4*d**5 - d**5 + 3*d**5 - d**5 + 0*d**5 + 2*d**5.\nAnswer: 6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 12 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 3)*(7*o - 33*o - 7*o + 3*o - 3*o + 2*o + (4 - 4 + 1)*(-3*o + 4*o - 2*o) + 314 - 314 - 108*o) to the form j + s*o and give s.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**2 - 123904*c + 867132 = 0. What is c?\nAnswer: 7, 30969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.08, 1\/12, 1\/3, -1\/17, -17?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -10 - 5. Let m = -11 - x. What is the second derivative of m*f**5 - f + f + 5*f + 6*f wrt f?\nAnswer: 80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 10:41 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 14*o**2 + 3*o + 1875. What is g(0)?\nAnswer: 1875","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 6:44 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -13. What is the third biggest value in 2\/3, -0.3, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44110 + -29864. List the prime factors of j.\nAnswer: 2, 17, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137525*k**3 - 138487*k**3 + 276001*k**3.\nAnswer: -11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*(sqrt(272) + -2 - sqrt(272)) + sqrt(170)\/sqrt(360) + (sqrt(187)\/(sqrt(11)*1) - sqrt(17)))**2 + 5.\nAnswer: -4*sqrt(17) + 5381\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t - 1. What is y(-16)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**2 - x**2 + 93*x - 273*x + 89*x + 91*x.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -559 - -559. Let k be 24\/(-18)*18\/(-4). Suppose -22 = -k*c + 26. Solve 2*u = -q*u - c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 8. Suppose -32 - 23 = -s*r. Let g = r + 2. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f - 43 + 43)*(40*f**2 + 80*f**2 + 13*f**2 + (1 - 1 + 2*f)*(0*f + 2*f - 3*f)).\nAnswer: -524*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdgjdji. What is prob of picking 1 g and 1 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 4:40 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r - 17 + 54 + 7*r to x*r + m and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 23 = 27 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 74287134, -1\/4, 0, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.19053 - -0.20947. Which is the second smallest value? (a) 3731 (b) n (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -7*r - 1. Suppose 6*q - 8 + 20 = 0. Let t be b(q). Let j = 82 - 79. Solve -3 = -5*u - w - t, j*u - 4*w - 17 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62118 and 2618?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230 - 229 = 34*s + 323 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((-576)\/78)\/4\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**2\/7 + 816*f\/7 + 720 = 0. What is f?\nAnswer: -6, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j**2 - 754*j + 1146. Let g be w(-190). Suppose 144 = 3*m + 9. Solve -g*f - 39 = -m for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -455, -476, -583, -818, -1223, -1840?\n\"Answer: -7*y**3 - y**2 + 31*y - 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*t + 813 = -5*f, 5*t = f + 369. Let x = f + 401. Solve -k - 3*b - 8 = 9, 3*k - 2*b = -x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5723 greater than or equal to 4299?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -l**7\/135 + l**6\/45 - l**5\/90 - l**4\/54 + 3*l**2 + 6*l. Let y(m) be the first derivative of k(m). Factor y(w).\nAnswer: -2*w*(w - 1)**2*(7*w + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 77*k + 39. Let n(l) = -25*l - 13. Let g(b) = 4*f(b) + 14*n(b). Let d(j) = 15*j + 9. Let w(x) = 11*d(x) + 4*g(x). Give w(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 10*g**2 - 5. Let t be f(10). Let a = t + 5. Let i = a - -6. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -3. Let p be 0 + n - (-14)\/7. Let l be ((-20)\/p + 3)*-6. What is the greatest common divisor of l and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1880 - -0.1\nAnswer: 1880.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4797354, 4797363, 4797372, 4797381, 4797390, 4797399?\nAnswer: 4797408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -1063812?\nAnswer: 212762.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r + 13*r + 21 - 12*r. Let n be y(8). Solve 0*g + 5 = -n*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 11*h**2 + 514*h - 45. Suppose 3*y - 2 = 4*y. What is the remainder when x(-47) is divided by (-12)\/(-8) - 25\/y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 12. Suppose -i*o = -o - 16. Let m(d) = -2*d**2 - 7*d - 3. Let f(k) = 3*k**2 + 8*k + 3. Let h(j) = 3*f(j) + 4*m(j). Give h(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 208, 713, 1700, 3331, 5768?\nAnswer: 9173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 4*k - 3. Let v be z(-4). Let h = v - -3. What is the derivative of -j**3 + h - 5*j**3 - 5 + 2*j**3 wrt j?\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32711 - 17750. Let l = f + -982. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/4 of a millennium?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -20230.7.\nAnswer: 20230.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by 43200.\nAnswer: -7\/14400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -359, -864, -1369, -1874, -2379, -2884?\n\"Answer: -505*w + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/103 - 201\/515. Let v be (-24)\/(-15) + 2 - (-2)\/5. What is the closest to 0 in v, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-2))\/((-10)\/(-20)). Let i(t) = -224*t - 17. Calculate the remainder when i(g) is divided by 65.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 1. Let a(b) = 3*b**2 - 31*b + 42. Let z(m) = -a(m) + 2*i(m). Is 9 a factor of z(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 380*r - 3. Suppose -21*b + 16*b = 3*d + 14, -4*b - 2*d = 12. Let n be 14\/4*(b + 2 + 4). Is l(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*q + 0*q + q)*(-3*q + 3*q - q) + 5*q**2 - 5*q**2 + 3*q**2.\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - t + 35 + 13 = 0, -2*f = -5*t - 24. What is the remainder when f is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2. Let n(c) = 486454*c. Give n(t(a)).\nAnswer: 486454*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 2605393.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(5\/3)\/(((l*l*l**1\/l*l)\/l)\/l*l))\/((l*(l*l*l*l*l\/(l*l**(-1\/7)\/l)*l*l)\/l*l)\/l**(-5)) assuming l is positive.\nAnswer: l**(-283\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((-22)\/(-2) + -9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15950719 is divided by 379779?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6, 19, 170, 537, 1210, 2279?\n\"Answer: 15*t**3 - 27*t**2 + t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 109 - 104. Let x be (-44)\/((-572)\/(-195))*2\/(-18). Which is the nearest to 0? (a) 1\/5 (b) i (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/8 and -28\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pip when three letters picked without replacement from {i: 1, j: 2, m: 2, c: 1, p: 6}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69 - 69.319. Let x = -0.119 - l. What is the second smallest value in -5, -1.4, x?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -972 + 389. Let j = 2109 + h. What are the prime factors of j?\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5091958 to the nearest integer?\nAnswer: 2257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 53355*r**2 - 5*r + 5. Let v be a(-7). Let j = v + 785565. Round j to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 509*k**4 + 28*k**4 + 39*k**4 + 374*k**2 + 278*k**4 + 1230*k**2 wrt k?\nAnswer: 20496*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32204524 (base 6) in base 8?\nAnswer: 3476744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47 - -1) + ((0 - 9) + (44 - 43) - -6).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002441 to seven dps.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -4\/21, -3, 3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/80*(3 + -5 + -1)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of w**4\/6 - 13*w**3\/6 - 13*w**2. List the prime factors of j(8).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -851, -1651, -2463, -3293, -4147, -5031?\n\"Answer: -k**3 - 793*k - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*s - 3*k, -3*s + 3784*k - 15 = 3786*k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -531, -1059, -1587, -2115, -2643, -3171?\n\"Answer: -528*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 46?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1025*l - 67 = 3*r - 1021*l, -114 = 6*l for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.205, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 290 divide 593805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7842*q - 637*q**2 + 15678*q - 7836*q.\nAnswer: -637*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1011952, -1011942, -1011930, -1011916, -1011900, -1011882?\nAnswer: -1011862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 8*j**2 - 9*j + 18. What is the least common multiple of 21 and v(3)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1796 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 7*n**2 + 2*n - 1. Let s be q(1). Suppose -s = -0*o - 4*o. Let u be 0 + (-36300000)\/(o + 1). Round u to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 214.5 - 216.447. Let x = d - 0.053. Let p = 0 + x. What is the third biggest value in 0.5, 0.1, 0.03, p?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1183 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - r + 4, -q - 3*q - 2*r + 8 = 0. Suppose -3*h = 5*a - 5 - 26, q = -a + 2*h + 1. Let d = 19 - a. What is the highest common factor of 14 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*k + 8*k - 15*k + 11*k**3 - 15*k.\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 361*r**3 + 359*r**3 - 1436*r**3 + 361*r**3 + 362*r**3.\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -14*i. Suppose 8*a - 63 + 311 = 0. Let m = a + 27. What is the tens digit of y(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 54. Suppose 0 = -20*s - 13*s + 957. Let x be w(s). Calculate the greatest common factor of x and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**(1\/10)\/k*k)*k**(-3) assuming k is positive.\nAnswer: k**(-21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -174 - -318. Suppose -204*p = -207*p + 108. What is the greatest common factor of l and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*t - 80*t = 0. What is the closest to t in 3\/5, -2\/15, -0.21?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 24*w - 498. Give l(19).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/6 - 79\/15. Let f = -67\/15 - r. What is the second biggest value in f, 0.5, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 + 109*z + 19 + 0*z**3 - 85*z - 17*z**2 + z**3. Let h be x(13). Let p(s) = s - 2. What is p(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**2 + 3*f**2 + 6*f**4 - 5*f**2 + (2*f**2 - 2*f**2 + f**3)*(-8*f + 3*f + 19*f - 4) in the form o*f**4 + x + n*f**2 + m*f**3 + c*f and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -297920 divided by 74480.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.02 (b) 4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 462*w + 13131. Give l(30).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111, 222, 513, 1074, 1995, 3366?\nAnswer: 5277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fzftqffh. What is prob of picking 1 t, 1 q, 1 z, and 1 h?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2\/12)\/((-2)\/3)*162 and -37\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16, 8, -6, -26, -52, -84?\n\"Answer: -3*c**2 + c + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.217 * 917.\nAnswer: 198.989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(3) - (sqrt(3) + 1)) - sqrt(24)\/(sqrt(72) + sqrt(8)).\nAnswer: -sqrt(3)\/4 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -6 (b) 279 (c) 2\/11 (d) 1 (e) 8\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.45 - 1.45. Let r = 1.91 - 0.11. Let x = -3.8 + r. Which is the third smallest value? (a) -12 (b) y (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -549, -1269, -1997, -2733?\n\"Answer: -4*l**2 - 708*l + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (49194 + 3*p - 28*p**2 - p - 9*p**2 - 49309)*(-4*p**2 - 5*p**2 + 2*p**2) in the form d*p**2 + z*p**3 + o*p + b + r*p**4 and give d.\nAnswer: 805","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 20*r**2 + 8*r + 14. Let o(a) = -a**2 - a - 3. Let x(m) = -3*o(m) - z(m). Let i(b) = -8*b**2 - 3*b - 3. Calculate 5*i(c) - 3*x(c).\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -139.2 (b) -0.5 (c) -0.6 (d) -2\/5 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(3\/13) + -6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -6*z**3 - 23*z**2 + 4*z + 2. Determine u(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 86*y**2 + 1288*y + 4285. Give i(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 1789*m = 1786*m + 7, 5*m - 25 = -5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21\/74 - -1361\/37. Find the common denominator of t and (98\/20)\/(24\/20).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-281)\/281*(3*2)\/1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-33)\/2)\/(-3)*(-90)\/(-330)*4. Solve -2*a - 3*q + 14 = 0, -w*q = -3*a - 10*q + 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 (base 10) in base 6?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1338 + 225*x - 1338 - 182*x + 155*x.\nAnswer: 198*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4848186481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 59?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -766 (b) -64\/65 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.08, 5, 3\/7, -3368, 3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -9*p**7\/14 - p**6\/10 - p**4\/6 + 43*p**2\/2 + 28*p. Find the third derivative of v(s) wrt s.\nAnswer: -1620*s**2 - 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*m + 57*m**3 - 89*m + 165*m**3.\nAnswer: 222*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 273 = k + 4*k, -4*y = 3*k + 157. Let p = k + 65. Calculate the greatest common divisor of 90 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + f**3)*(-3 + 3 - f) + 129*f - 2*f**4 + 99*f + 6 - 204*f.\nAnswer: -3*f**4 + 24*f + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 996928 smaller than 996929?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1 (b) 1 (c) -1\/8 (d) 5 (e) 2220\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11.9 and 911?\nAnswer: 899.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-11)\/w*w*w)**(20\/7)\/((w**(1\/6)\/w*w)\/(w**(-1)*w)) assuming w is positive.\nAnswer: w**(-1087\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48\/20*(12 + -2) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -826896\/61 bigger than -13556?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = n + n - 2, -3*n = -u - 5. Let v = n + 1. Find the second derivative of 5*a - 2*a**4 - 486*a**3 + 486*a**v wrt a.\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98 * 46937.8\nAnswer: 4599904.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9 + 11 + -1)*(3 - -22754).\nAnswer: 7, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 57.9 - -1988.\nAnswer: 2045.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-14))\/(69 + (-41796)\/602)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-9) + (-8)\/792*75)\/(-1).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r. Let q(k) = -18215128*k. What is c(q(d))?\nAnswer: -72860512*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 23*g + 114. Let a be m(18). Find the third derivative of -173*q**4 + a*q**2 + 173*q**4 - 41*q**6 - 148*q**6 wrt q.\nAnswer: -22680*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3088 a factor of 724948144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**35*k**(-31))\/(k**8*k\/(k*k*k*k*k**(-1))*k) assuming k is positive.\nAnswer: k**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-4 + -2 - 0 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 57.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 93.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-12))\/((-2)\/40). Suppose 0 = -d*r + 662 + 328. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -924.6 - -909. What is x rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*l - 10*l - 48, 5*l = 4*w + 40. Factor -25\/3*h**3 + 0 - w*h**2 + 15*h - 5\/3*h**4.\nAnswer: -5*h*(h - 1)*(h + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (153\/(-102))\/(1\/4*3). What is the second smallest value in 1\/15, h, -0.5, 2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1377217?\nAnswer: 23, 59879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2975 is divided by 216.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -3342*q + 3340*q, -28 = -5*b - 6*q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -98 - -103. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.66 - -0.88?\nAnswer: 2.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*w - 1641 - 40 - 323 = 2*z - 76*w, z + 2*w - 35 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 21. Suppose o*d = -d - 60. Let i be 1*2\/d*-15. Which is the biggest value? (a) 2\/9 (b) i (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l**2 + l**2 + 0*l**2)*(3*l - 7*l + 10*l)*(-3915 - 2074 + 457 - 1052) to the form v*l**3 + x*l + y + m*l**2 and give v.\nAnswer: -79008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 22. Let y be v(0). Let x = -62 + y. Round x to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 4:59 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 14 - 14 - 2*q. Let y(s) = -6 + 10*s**2 - 9*s**2 + 6. Calculate y(u(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tnv when three letters picked without replacement from bavitbni.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45383661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -180.291505 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1235095.\nAnswer: 5, 19, 13001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiioohotnetiitihoeo. Give prob of sequence heoo.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*f - 2*f - 2*f + 2*f - 5*f + f - f - 1 + 1 + (0 - 2 + 0)*(0*f + 4*f - 5*f) - 2*f + 3*f + 3*f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20138658, 20138657, 20138656, 20138655?\nAnswer: 20138654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, -15, 16, 2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.022 - 1.978. Suppose 4 = -v + 1. Which is the third biggest value? (a) 0.04 (b) v (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 5*n**2 + 5*n - 3. Let l be y(-6). Let t be (22\/4 - -3)\/(518\/(-1036)). Put 4, l, t in decreasing order.\nAnswer: 4, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 28*z + 2. Suppose -6*g = 115 - 283. Let c be a(g). Solve -5*j + 3 + c = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f - 1. Let r(i) = i**2 - 10*i - 10. Let s be r(11). Let m be w(s). Let q be m\/(-10) - 139\/(-5). Calculate the highest common divisor of 14 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 27 + 24\/6 + 8. Let k(l) = l**3 - 4*l**2 + 5*l - 4. Let s be k(3). Suppose u - r = -5*v + 10, -22 = -2*v + s*u. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 + 9*j - 11)*(2 - 17 - 2)*(3 - 3 - 2*j) to the form y + t*j**2 + v*j and give t.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -17. Calculate the remainder when 23 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 192660.994?\nAnswer: 192657.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 130538 + 14?\nAnswer: 130551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16.8845 and -1.\nAnswer: 16.8845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -361, -698, -1035?\n\"Answer: -337*r - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.42 - 5.22. Which is the closest to -2? (a) -0.1 (b) d (c) -8\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 2*a - 64 = 0, -5*z - 2334 + 2398 = 2*a for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -0.1, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -194 + 198. Suppose 2546 = 5*r + p*x, -2*r + 367 = -x - 654. List the prime factors of r.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 10*m**2 + 317*m - 6. Let k be d(-33). Is 425 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 211*z + 468*z + 170*z + 456*z + 253*z to the form d + b*z and give b.\nAnswer: 1558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*q + 14 = 0. Let f be (-4)\/q - 100\/105. Which is the nearest to 2\/3? (a) -0.1 (b) f (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 2*w - 8. Suppose -w*r - 3 = -11. Suppose r = 4*s - 2*s. Which is bigger: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/23, 2, -1 in increasing order.\nAnswer: -1, 4\/23, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 8004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 106185100 less than 106185104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/7)\/(w*w**2))\/(w*w\/w**(-4\/9)*w**(5\/4)))**25 assuming w is positive.\nAnswer: w**(-41275\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6147773843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216\/(-8) + 743 + -737.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-362)\/(-3))\/((-10)\/(-75)). Let l = 16177\/18 - y. What is the common denominator of l and 107\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = 3*w - 3*a - 178, 28 = 2*w + 3*a. Suppose 0 = -4*h + 26 - 6. Solve 3 = -y + m, -y + 4*m - w = -h for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + 26. Which is greater: 2\/3 or x?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1453, 7691, 23567, 53899, 103505?\nAnswer: 177203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -41414 less than 780913?\nAnswer: 822327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 89406 to the power of 1\/2, to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -21*l + 8. Let q be a(-6). Let p = q - 132. Solve -2 = -4*v + p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f - 2*f**3 - 34292*f**2 - 2 - 2*f + 34458*f**2 + (5*f - 2*f - 4*f)*(15*f**2 + 5*f**2 + 5*f**2).\nAnswer: -27*f**3 + 166*f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**4\/5 + 701*i**3 - 376362*i**2\/5 + 9879968*i\/5 + 4258688 = 0 for i.\nAnswer: -2, 56, 3395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 179217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 30234030 (base 5) in base 12?\nAnswer: b8773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 1. Let s(y) be the third derivative of y**5\/30 + y**4\/4 + 11*y**3\/6 + 5*y**2. Let n(g) = -3*f(g) - s(g). What are the prime factors of n(11)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12226145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00715 rounded to 4 dps?\nAnswer: -0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4066661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/sqrt(150) + -4 + -2*sqrt(17) + 3.\nAnswer: -9*sqrt(17)\/5 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 - -69. Suppose -2*x - 3*x + z = -d, -4 = -4*x - 3*z. Let v(t) = 0*t + 7*t - 6*t - 1 - x*t**2. Calculate v(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 6*t - 1. Let s be j(-5). Suppose -s*x + 19 = 3*o, 15 + 12 = 2*x + 5*o. Calculate the remainder when 15 is divided by x*(3 - 1 - -7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 greater than or equal to 0.036?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1080 and 222165.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(22)\/(sqrt(12)\/sqrt(6)).\nAnswer: 1 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of 5*z**3\/6 - z**2\/2 - 125*z. What is p(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 806761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16167 - -58c?\nAnswer: 166f3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + x + 4. Let q be 45\/20 - x\/(-8). Suppose n - 4 = -i - q*n, 4*n = 3*i - 12. Calculate the greatest common factor of i and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/((-84)\/(-9)))\/(28\/147*(-27)\/72).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2017784*g**4 + 2*g + 1269752?\nAnswer: 24213408*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9758361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/7972 and -33\/15944.\nAnswer: 15944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 1:10 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14\/39 - 232\/429. Which is the closest to -2? (a) -0.5 (b) 3\/2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and (-111)\/(-15) + (-3)\/(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 4*y = -16, 3*z - 4*y + 2189 = 2163 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 + 92979*q**2 - 92982*q.\nAnswer: 3*q*(q - 1)*(q + 30994)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(32) + (sqrt(150)*1)\/sqrt(10))\/(sqrt(180) + sqrt(20) + (sqrt(5) - (sqrt(25) - (2*sqrt(25) - sqrt(25)))\/sqrt(5))).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 744884 and 333.\nAnswer: 6703956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81528111 divided by -11646873.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 6. Suppose -28*c + 25*c = -3*x + 24, 2*c + 11 = x. Put v, c, 4, 2 in ascending order.\nAnswer: c, v, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38593040747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 7*w + 12. Let a be r(-9). Is -0.1 at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2212\/2 - 3) + 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3948360 is divided by 13568.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11145 rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c + c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**3 - 24*w**2 + 10. Let v be p(12). Solve -5*m + 7*m = v for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 9*q + 6. Let u be p(-2). Let o be 2*(4\/48)\/((-8)\/u). Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2636608?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 58 + 178. Let s = 47 + x. Calculate the common denominator of 23\/21 and 31\/66*-4 - (s + 12).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3517178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 284 and 2702260.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 74, -4, 1 in ascending order.\nAnswer: -6, -4, 1, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -6. Let p = -77 + 64. Let l(b) = 2*b + 30. Let u be l(p). Is u < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/((63\/24)\/7). Let g be 1*((-10)\/n)\/5. Is -0.1 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -69.848 - 0.152. Let n = w + 75. Which is smaller: -1\/2 or n?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*v**2 - 11*v**2 - 4*v**2 - 17*v**2 - 69*v**2.\nAnswer: -253*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1.134, 2\/13, -29\/3, 2 in descending order.\nAnswer: 4, 2, 1.134, 2\/13, -29\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-32)\/30*1 + (-6)\/10)*6. Let k(r) = -7*r - 10. Give k(h).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -690 + 674. Calculate the remainder when ((2412\/j)\/9)\/((-4)\/64) is divided by 66.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 = 35*l - 729 - 979. Calculate the remainder when 293 is divided by l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1204 divided by 2\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -79009*s**4 - 11*s**3 - 2*s**2 - 60*s + 4730 wrt s?\nAnswer: -948108*s**2 - 66*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 - -86. Suppose -3*z = 10 - 55. Suppose -z = -3*y + 15. Calculate the greatest common divisor of b and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 42 - -100?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-2)*2\/(-3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ir when two letters picked without replacement from {u: 2, t: 1, y: 1, r: 2, i: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 299082247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(-1164*b + 324*b**2 + 1164*b).\nAnswer: -648*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 1 + 2 + (-52 - (15 + 2 + -8))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*t**4 - 38*t**3 - 7032*t**2 + 8800735 wrt t.\nAnswer: -16*t**3 - 114*t**2 - 14064*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (18\/15*-2)\/(6\/(-20)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 b when three letters picked without replacement from {a: 1, x: 4, b: 6}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a decade?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 4:24 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 - 126745*u**2 + 5*u + 126745.\nAnswer: -5*(u - 1)*(u + 1)*(u + 25349)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-1 - -2) - (9 + (41 - 38)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.0285392 - 12.028. Round p to five dps.\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 14. Let f = l + 4.8. Let x = -865 - -861. Which is the nearest to 0.02? (a) f (b) x (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 13 - 4 + y - 9. Let c(i) be the third derivative of -i**7\/2520 - i**4\/24 - i**2. Let f(s) be the second derivative of c(s). Calculate n(f(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z*z**(7\/4))\/z))\/z**30*(z**7)**(17\/2) assuming z is positive.\nAnswer: z**(115\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 7:50 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/388277 and 43\/76878846?\nAnswer: 76878846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i - 3*i**3 + 7 - 5*i**2 + 12*i**2 + 2*i**3 - 3*i - 11. Let p = 18 - 11. Let j be w(p). Solve y + 2 = j for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 8 = 5*i - 0, -3*i - 5*l - 2 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-26)\/(-806)*(4 + -4). What is b in -15\/2*b**4 + 27\/2*b**2 - 21\/4*b**3 + r - 3\/4*b**5 + 0*b = 0?\nAnswer: -9, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8353, -8372, -8417, -8500, -8633?\n\"Answer: -2*g**3 - g**2 - 2*g - 8348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4415*v + 1678*v - 8887*v - 1088*v)*(5*v - 2*v - 4*v) to i + g*v**2 + z*v and give g.\nAnswer: 12712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**5 - 15420*c**4 - 1477845*c**3 - 52261860*c**2 - 795552240*c - 4317453504 = 0. Calculate c.\nAnswer: -5043, -28, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/3*g + 0 + 2\/3*g**2 = 0. What is g?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.05 (b) -1\/5 (c) -4 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -1\/4*o**4 - 1\/2*o**2 + 2\/3*o**3 - 24 - 3*o. Give w(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3 - 64*f**2 + 14281*f + 240784 = 0 for f.\nAnswer: -149, -16, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -43481*g - 41106. Let h(a) = -31059*a - 29361. Let n(c) = -18*h(c) + 13*m(c). What is the derivative of n(o) wrt o?\nAnswer: -6191","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-26) + (-86)\/559.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 1. Let i(p) = p + 6. Give -i(w) + 3*y(w).\nAnswer: -4*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -10*w. Let d(t) = -20*t. Calculate d(q(f)).\nAnswer: 200*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x - 6. Let b(i) = 3*i. Determine b(a(n)).\nAnswer: 12*n - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + -18. Let l = 56691136.9999992 + -56691170. Let a = l - r. Round a to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 8*l + 15. Let h(v) = -5*v + 3. Let d be h(-1). Is 15 a factor of k(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-3 + 13)\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/sqrt(2) + sqrt(9)\/sqrt(3)*3 + (sqrt(108)\/sqrt(3) + sqrt(36))\/sqrt(12) + (0 + sqrt(3))*2 + 3 + 1.\nAnswer: 4 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -a1a82 (base 11) to base 13\nAnswer: -52ab9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3846523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 15325 (base 7) to base 4\nAnswer: 1002322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 11223765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.33 (b) -2 (c) -6 (d) -3 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 10, 5, -0.5, 1\/16, -5, -1\/203?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/4 - 15\/(-1092)*-1162.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/7)\/((-3)\/(-21)). Suppose -p = -o - 5. What is the greatest common factor of o and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25379539 is divided by 269995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 1410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21 - -7a686?\nAnswer: 7a6a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3006 divided by 5.\nAnswer: -3006\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 358852, -107.8.\nAnswer: -107.8, 0, 358852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 334751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1406*t = -1390*t - 13328. Does 30 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2310, -5, 2, -35, 148.\nAnswer: -2310, -35, -5, 2, 3, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*k + 66*k + c = 63, 3*k - 97 = -c. What is the lowest common multiple of k and 1?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1392 and 1573134.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.84 * -527.\nAnswer: 1496.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -22964, -45816, -68668?\n\"Answer: -22852*f - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 11.1. Let g = -2.7 - c. Round g to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/8? (a) -3\/8 (b) 3 (c) 2\/7 (d) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-507*g - 407*g**4 + 506*g + 97*g**4)*(-1 + 0 + 2) to w*g**4 + f + s*g**2 + b*g + h*g**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -182948, -182944, -182940, -182936?\n\"Answer: 4*n - 182952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384316542?\nAnswer: 2, 3, 43, 165511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*f - 1087 - 1554 - 109 = 0 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5067 + -49567. What is p rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1102 (base 4) to base 13.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73 - 43. Let h = c - 7. What are the prime factors of h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 817451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eqsqse. What is prob of picking 2 s?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18674 (base 15) to base 7.\nAnswer: 446365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6656993\/(-27699))\/(7\/(-3))?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25.722 - 0.278. Which is smaller: 1\/5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4979*x + 229282. Give z(46).\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k - 1. Let h(q) = 3*q - 3. Let p(d) = 4*h(d) - 11*l(d). Let s be p(4). Let u = -81 - -79. Which is the closest to 2? (a) u (b) s (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -985823, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*s = 3 - 31, 4*s - 16 = 0. Let i be ((2 - 2)\/z)\/(-2). Solve n + 3*b = -10, i = 2*b + 8 - 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*c = -2*x - 12, 12 = 3*x + 3*c. Suppose -6 = 4*n - 22, 0 = 2*m + 2*n - 12. Factor -7*h**3 + 0*h**4 + 5*h**m - h + 3*h**4 + x*h**2.\nAnswer: h*(h - 1)**2*(3*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -301 <= -3918\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -cba85 (base 16) in base 11?\nAnswer: -51a807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 989625 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.5 - -1. Let s = 893\/1480 - 1\/296. What is the second smallest value in s, c, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jx when two letters picked without replacement from {x: 3, j: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 222 and 111.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 203*a*w + 18*w + 2 with respect to a.\nAnswer: 203*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -939 + 660. Suppose -4*o + 964 = -832. Let y = o + x. What are the prime factors of y?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 3*s + 12 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 15*o**2. Let g(b) = 933*b. Determine x(g(c)).\nAnswer: 13057335*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2066835 nanograms to tonnes.\nAnswer: 0.0000000000000002066835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmafffffqqffmqfafm. What is prob of picking 1 q, 2 a, and 1 m?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (135\/20*12\/54)\/((-132)\/1232).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 49.9983 - 1.3003. What is d rounded to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69473616 divided by -188787\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, o: 1, k: 5, a: 4, g: 3, m: 6}. What is prob of picking 2 g and 1 k?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -370.165 - -371. Round r to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39.2 - 8.8. Let d = s + 46. Suppose 17*i = 22*i - 135. Which is the second smallest value? (a) 2\/11 (b) i (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 628 + 1392. What are the prime factors of x?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 966 and 1091916?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 + f - 238 + 61 + 56.\nAnswer: f - 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*77.626\nAnswer: -15.5252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 + 22839*h**2 + 43456905*h - 43479747.\nAnswer: 3*(h - 1)*(h + 3807)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30\/833 + -773\/1666. Which is the biggest value? (a) f (b) -3\/2 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 13668666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z + 8. Let i(r) = -r + 1. Let t(h) = 3*i(h) + w(h). What is t(14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - 2*a + 68, 0 = 3*p - 116*a + 89*a + 816 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.1? (a) -4\/3 (b) 16 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 + 112. Let c = 138 - k. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**(-1\/2))*r)**18)**(-19) assuming r is positive.\nAnswer: r**(-171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 17 = 4*b - 0*b, 0 = -2*b + 4*z - 16 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 67c + -290?\nAnswer: 3cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, i: 4, z: 12}. Give prob of picking 2 i and 1 p.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -v**2 + 7*v - 19. Let o be 1 - (10\/45 + 260\/45). Calculate n(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*c. Suppose c = 4*f + 4*v - 12, -f + 3 = f + v. Factor 1\/3*a**2 + 1\/3*a + f.\nAnswer: a*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/27015690 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24 minus 63.1235?\nAnswer: -63.3635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -63075423*t**3 - 287895482*t**2.\nAnswer: -378452538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/5 (b) -2\/9 (c) 0.1 (d) -35.98 (e) 2\/9 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(405) + sqrt(405))\/(6*(sqrt(9) - 1*sqrt(9)) + sqrt(9)))**2 + 1 + 1 + sqrt(5) + 6*sqrt(5)*1 + 5*5*(sqrt(5) + 0).\nAnswer: 32*sqrt(5) + 182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 123695 and 49032698.\nAnswer: 245163490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -113.38984 and -0.08.\nAnswer: 9.0711872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.04825411 and -3.9.\nAnswer: -3.94825411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 467529?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 218113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 489.9748 + -490. Let w = d + -2.9748. Let n = 10 - 4. Put w, -5, n in descending order.\nAnswer: n, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.984 + 0.016. Let q = -535 + 11233\/21. What is the third smallest value in -5, k, 0.4, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1206?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.4863533 - -1.61\nAnswer: 2.0963533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13*(-3)\/(-75)*(-35)\/7?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*a + 353*a + 3 + 5*a.\nAnswer: 432*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*l**4 + 367211*l**2 - 2167374 wrt l?\nAnswer: -12*l**3 + 734422*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000028 rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5 = -5*j - 11, 0 = -5*j + 3*t - 2. Let z(n) be the second derivative of -n**3\/6 - n**2\/2 - 11*n. What is z(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.14697 meters in centimeters?\nAnswer: 114.697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(128) - 2*sqrt(128)).\nAnswer: 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7022831 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 15 = 6*x. Suppose v - 2*i + 1 = -0*v, x*v + 5*i = 30. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9244 + 35783. What is the thousands digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15297496?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.4 - -2.24. What is the third smallest value in s, 5, -1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000142484 to 5 dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3932, 7891, 11850, 15809?\nAnswer: 19768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 minus -0.0354?\nAnswer: -32.9646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 4:42 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70048 = -2480*n + 2496*n. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -x + 2*w, x + 32 = 4*x + 4*w. Let r(v) = -v**3 - 4*v**2 + 1. Let p be r(-4). Let u(m) = p + 6 - 4 - m**2 + 5*m - 3*m. Determine u(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38991773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*g = 113*g. Determine c, given that g + 3\/7*c**2 - 3\/7*c = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 476, 2204, 5134, 9308, 14768?\nAnswer: 21556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -222332?\nAnswer: 222322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 5*i**2 - 6*i + 9. What is the remainder when 106 is divided by r(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6538672074.229999403 - -6538672428.23. Let h = l - 354. Round h to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70091719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 253 - 2?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -5\/4 (b) -5\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -213 - -410452?\nAnswer: 410235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 2*j - 3*i, -4*j = 2*i - 0*i + 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 5*d - 8. Let x = 118 + -65. Suppose -5*r + x = -3*i, 0*i = r - i - 11. What is the remainder when r is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2 + 7\/(-2). Sort 4, h, 6.\nAnswer: h, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 1650 = 1640 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1 + sqrt(125))**2.\nAnswer: -20*sqrt(5) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -9*n**3 + 516*n**2 + 323*n - 82. Give b(58).\nAnswer: -1532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-888)\/(-666))\/(4\/(-1))*1*-5\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 384776 divided by -5?\nAnswer: -384776\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**4 + 881685*m**3 + 51820153440*m**2 + 1014880299473920*m - 15234867002572800.\nAnswer: 5*(m - 15)*(m + 58784)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 161*t**3 - t**2 + 2*t - 2. Let y be h(1). Suppose c = 3*k + 513, -2*k - 182 - y = -4*c. Let f = -65 - k. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 272 - 572 = 0. Is 30 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -26 in decreasing order.\nAnswer: 3, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 2043264.9\nAnswer: -2043264.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*a = 0. Let d = a + 4. Solve d = m - b + 7, 0 = 5*m + b + 9 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 2*t**2 + 3*t + 2. Let p be z(0). Let s be (-1)\/(1\/(-9)) + 3. Let y be 1\/p - (-102)\/s. Solve -4*i - 6*d + d = 15, -i + y = -3*d for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z - 14579 + 14579. Let d(o) = 17*o**2. Give v(d(q)).\nAnswer: 17*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 5. Solve -n + a = -5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 0, -3, 3, -77, -4 in ascending order.\nAnswer: -77, -12, -4, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15404*l + 225*l**3 - 15404*l + ((0*l - l - l)*(2 - 3 + 3) + 3*l + l - 3*l)*(6 - 4*l**2 - 6).\nAnswer: 237*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.003809 + 257554.753.\nAnswer: 257554.749191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yys when three letters picked without replacement from {y: 5, w: 3, s: 1}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - n = -13, 6645*w - 6646*w - 3*n = -6*n + 27 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 - (-24)\/(-26)*1885\/58.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4251 - -944. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 - 2*p**3 + p**3)*(-3 + 3 - 2*p**2) - 4*p**5 + 2*p**5 + 4*p**5 + 922*p**3 + 805*p**3 + 622*p**3 - 777*p**3 + p**5.\nAnswer: -p**5 + 1572*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*sqrt(19) + (sqrt(304))**2*-2.\nAnswer: -603 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 301 and 7140?\nAnswer: 307020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 534354 a multiple of 425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 33*(-56)\/2310 + (-62)\/35?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 165004175 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -488 - -501. Suppose -11 + 1 = -2*r. Suppose -r*c - t + 62 = 0, 2*t = 4*c - 2*c - 32. Calculate the highest common divisor of b and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 201*q + 555*q + 174*q to n*q + s and give n.\nAnswer: 930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + (sqrt(77) - sqrt(77)*-3*-5))\/sqrt(7) + sqrt(33)\/(-3*sqrt(3)) + 4 + -2)**2.\nAnswer: -160*sqrt(11)\/3 + 17636\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -94416*b**2 - 943 + 2107*b**3 + 94416*b**2 wrt b?\nAnswer: 6321*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -58821, -117647, -176451, -235221, -293945?\n\"Answer: 2*k**3 - k**2 - 58837*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6762 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.085 + 0.085. Let h = -3.43 + 3.33. What is the closest to -2 in y, h, 3\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, i: 6, k: 7}. What is prob of picking 2 k and 1 u?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3947839 is divided by 2920?\nAnswer: 2919","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -8*b**2 + 3*b - 3. Let g(t) = 7*t**2 - 2*t + 2. Let h(m) = 3*g(m) + 2*s(m). Let d(y) be the first derivative of 2*y**3\/3 - 1. Give h(d(o)).\nAnswer: 20*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/23507 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 850520*c**4*m**3 - c**3*m**3 - c**2*m**2 + 20*c*m**3 + 3*c*m**2 + c*m + 524*m wrt c?\nAnswer: 20412480*c*m**3 - 6*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 515774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 2404?\nAnswer: -2407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -99 + 104. Suppose 0 = -2*s + n*y + 53, 27 = 3*s + y + 2*y. Suppose 5*k = -l + 3*l - s, -2*k = 2*l - 28. Solve 0 = 4*a + l - 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*d*f + 1190*d + 10*f - 1677 wrt d?\nAnswer: 5*f + 1190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 867 - 1038.6. Let c = g + 172. Sort 1\/3, c, 0.01 in ascending order.\nAnswer: 0.01, 1\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-448)\/33*162\/(-216). Which is bigger: a or -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/25)\/p**(-1\/15))**1 assuming p is positive.\nAnswer: p**(11\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -369, -1520, -3437, -6120?\nAnswer: -9569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 20. What is the units digit of t(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 207 + 44 = 0. Let y(x) = x**3 - 7*x + g - 253 + 0*x**3 + 7*x**2. Is y(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22723 is divided by 247.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 9) in base 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -793, -3189, -7183, -12775, -19965?\nAnswer: -28753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7644*q**3 - 1062?\nAnswer: 22932*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/17)\/j)\/j*j*(j*j*j**(2\/19)*j)\/j)\/(j*j**(1\/2))**30 assuming j is positive.\nAnswer: j**(-14140\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4. Let b be (-25)\/(275\/99)*(0 - 1). Let t(i) = 1. Let w(r) = b*t(r) - 2*j(r). Let k(h) = 3*h - 21. Calculate 2*k(s) + 42*w(s).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -649, -2680, -6069, -10822, -16945, -24444, -33325, -43594?\nAnswer: -55257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10160 or 10129?\nAnswer: 10160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(31\/((-558)\/(-21) + -11) - (1 - -1)).\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11886 and 50036664.\nAnswer: 1698","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -128225?\nAnswer: 38467.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -352*q - 134502. What is f(-382)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 75 = -47. What is the highest common factor of 84 and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*o + 23*o - 51800. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k - 16. Let y be h(-6). Let z = 108 + -67. Calculate the remainder when z is divided by ((-2)\/(-3))\/y*63.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1800, -7214, -16236, -28866, -45104?\n\"Answer: -1804*y**2 - 2*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.419662733 to four decimal places.\nAnswer: 0.4197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -46 (b) -958 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 234\/(-117)*(-2)\/206\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-14)\/6)\/((-2)\/54). Let d be (12\/(-1 + -3))\/(-1). Suppose 5*p = -d*k + w + 52, 2*k + 4*p - 76 = 0. Is k a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -209952 by -4.\nAnswer: 52488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 0.5 (b) 3 (c) -3 (d) -0.2076 (e) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.29106 - -0.20894. Let m = -60 + 125\/2. Which is the closest to y? (a) m (b) 5 (c) -3 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9828 + -9829. Sort 1, -95, f.\nAnswer: -95, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/5 - 7160*j**2 + 321160477*j\/5 - 13425662922\/5.\nAnswer: (j - 17879)**2*(j - 42)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70129\/14 - -5009. Which is the second biggest value? (a) j (b) -34 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ih when two letters picked without replacement from {k: 1, i: 2, p: 1, h: 2, a: 1, g: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 0 + 1 - 10*r + 15*r**2 + 7*r**2 - 23*r**2. Calculate h(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -16, -26, -40, -58, -80?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.76*-0.58\nAnswer: -0.4408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a kilogram in grams?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 853287.7 and -0.12.\nAnswer: 853287.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**6*n*n)**5*(n**(-5))**(-32) assuming n is positive.\nAnswer: n**200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 50 = 3*h, n = -9*h + 315 - 283 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**3 + 284*h**2 + 2800*h + 6400 = 0 for h.\nAnswer: -5, -4, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20053\/21 - -955. Which is the smallest value? (a) q (b) 1\/3 (c) 1\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 8*c - 40 = 0, -2*p = -39*c + 35*c + 32. Sort p, -5, 365.\nAnswer: -5, p, 365","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**6\/m)\/(m**8*m))\/((m\/(m*m**(-2\/9)))\/m)**6 assuming m is positive.\nAnswer: m**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/((-13)\/78)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 5:55 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (10\/210)\/((-4)\/6)*-4\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14 (b) 8513\/6 (c) 0.3 (d) 51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -994*d + 18 - 25 - 31 + 508*d + 497*d in the form r*d + q and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, b: 3, a: 4, p: 2}. What is prob of sequence bbpa?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.08 + -0.04. Let z = 9.42 + s. What is z rounded to 0 decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (306\/108)\/(10\/(-60)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471611460?\nAnswer: 2, 3, 5, 7860191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (-4 + (-1 - -3)). Let p(o) = -o**2 + 0 - 1 + n. Let z(d) = d - 3. Let u(c) = -3. Let y(f) = -3*u(f) + 3*z(f). Calculate p(y(s)).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 532692076?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21948611 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 2 - 2)*((12 - 13 + 7)*(3 - 3 + 1) + 1 - 4 + 2).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 5*n + 289. Let w be i(0). Let u(q) = -q + w - 289 + 0*q. Let o(r) = -26*r**2. Determine o(u(v)).\nAnswer: -26*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 102761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 + -40. Solve -12*d - u = 22 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6998944 and 1272305.\nAnswer: -5726639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y + 0*y - 3*y)*(4 - 2 - 1) - 3*y - y + 3*y + 26*y + 12 - 12 + (1 + 3 - 1)*(-3*y + 2*y - y) as w*y + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29822 - -29818. Let v = 0 - -0.1. What is the closest to 2\/3 in -1, s, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -29089972, -29089969, -29089966?\n\"Answer: 3*v - 29089975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hr when two letters picked without replacement from {r: 8, h: 2}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 68455 from -5.\nAnswer: -68460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*j - 971*j + 81 - 2492*j - 81.\nAnswer: -3517*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-5\/4)\/q**19 assuming q is positive.\nAnswer: q**(-81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 15) to base 6\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 + 267215*p - 801600.\nAnswer: -5*(p - 53440)*(p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 171985\/30 - 2\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 9:14 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 1. Let v = -1 - b. Let y = v - -6. What is the third smallest value in y, 2, 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -12933, -22, -4, 4 in descending order.\nAnswer: 4, -2, -4, -22, -12933","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 614034*c + 0*c**2 + 3*c**2 - 5*c**2 - 614034*c + 3*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4\/61 + 163\/305. Sort -3\/4, a, -0.15, 5 in ascending order.\nAnswer: -3\/4, -0.15, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 12 - 2. Suppose 2*l - 23 = -2*n - 3*n, -5*l + 8 = -4*n. Suppose n*s = o*s. Solve s*r - 8 = -2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*f + 75, 5*f - 120 = 2*x - 17. What is the highest common divisor of f and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from xttxtxtxxxxxyxxtxxt.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, 122, -5.\nAnswer: -5, 64, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 16 - 1 = 0. Suppose 6 = d + j. Let g = 1.5 - 1.7. Which is the biggest value? (a) d (b) g (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-1 - 1 - 1)) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*t = -w - 2, -5*w + 5 = -5*t. Suppose 4*l = -w*o + 5*o + 7, 0 = -2*l + 4*o - 14. What is the highest common divisor of 24 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 9*q**2 - q - 26. What is the tens digit of d(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1567682\/113 or -13874?\nAnswer: -13874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + s = -460, 3*q - 4*q + 460 = -2*s. Let t be ((-46)\/q)\/((-4)\/(-15)). Is t >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {q: 2, x: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -223160 and -223163 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -5*c + 15039, -45*c + 5*p = -44*c - 3031. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-9)\/4) + 11\/(-28).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2680)\/(-520) - (-4)\/(-26). Let h be ((-8)\/(-6))\/(12\/27). Sort 0, h, q, 2 in ascending order.\nAnswer: 0, 2, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, c: 1, f: 1, b: 2, y: 3, k: 1}. Give prob of picking 1 k and 2 b.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1688 and -5.\nAnswer: 8440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 7*z + 2. Let p be 3\/6*(-5)\/((-25)\/(-30)). Calculate t(p).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 15*q**2 - 21*q + 26. Suppose 4*z + 2*p + 66 = 0, 45 = -3*z - 7*p + 10*p. Does 7 divide d(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 53889, 0.218, -4?\nAnswer: 0.218","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12476 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002341504106 rounded to 7 decimal places?\nAnswer: 0.0002342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26515 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2 - 12*f - 7. Let q be l(-5). Suppose -5*k + 3*x = -235, -x = -2 - q. What is the remainder when k is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*k = 0, -3*f + 57 = 3*k. Solve 8*y - 5*y + 12 = 0, -p + f = -5*y for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28819*f**4 - 2*f**3 + 39*f**2 - 9157*f + 2145?\nAnswer: -345828*f**2 - 12*f + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-54)\/(-8))\/(931\/532) + 1\/7. Solve 5*d = 5*r - 10*r + 20, -19 = -b*r - 5*d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-19)\/(-2)*-5*12\/(-30). Suppose l*s = -52 + 14. Which is bigger: -8\/9 or s?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -107\/6. Suppose 0 = x + q + 4, -4*x + 1 = 2*q + 7. Let d = x - 0. Which is smaller: d or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.136511282 - 2?\nAnswer: -1.863488718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -166*z + 163*z + 144. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -5. Let x(o) = -9*o**2 + 12*o + 0*o**2 - 11 + o. Let m(a) = a - 1. Let b(k) = -4*k**2 + 2*k - 1. Let u(d) = b(d) + 4*m(d). Give z*x(v) - 13*u(v).\nAnswer: -2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 27, 11, -42?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -275 minus -0.428539007?\nAnswer: -274.571460993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 12.82.\nAnswer: 12.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3501291\/31 or -112946?\nAnswer: -3501291\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 197092.569 rounded to the nearest one thousand?\nAnswer: 197000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*x**2 - 22*x**2 + 24*x**4 + 2 - 2*x + 91*x**4 wrt x?\nAnswer: 1380*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -12 (b) -11 (c) 2 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -20, 2, -2\/9, -4\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97 - 99.633. Let d = -0.067 + n. Let y = d - 0.3. Put 0, 2\/17, y in increasing order.\nAnswer: y, 0, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 65 = 5*j. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -82*k**3*q - 3074*k**3 + k*q wrt q.\nAnswer: -82*k**3 + k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1941933003 to the nearest integer?\nAnswer: 1248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 41*z**2. Suppose -292*v + 3862 = -1041 - 1813. Let d(j) be the second derivative of -v*j - 1\/12*j**4 + 0*j**3 + 0*j**2 + 0. What is k(d(g))?\nAnswer: 41*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(1\/20)*y**(12\/5)\/y)**(-2\/23) assuming y is positive.\nAnswer: y**(-47\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58049104 + 81412087. Suppose -50907017 = -7*h + x. What is h rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 < 170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zbjzjt. What is prob of sequence jtj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 20662 to the power of 1\/2, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f - 217 + 385. Solve 3 - f = -25*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 38748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4 + 2 - 3 + 104*j + 5. Let h(o) = 10*o. Calculate h(g(u)).\nAnswer: 1040*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 834147 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -81 or -86?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + l + 6 = 0. Suppose -12 = -2*q - l. Suppose -4*f + q*f = 17. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140.38 times 8.2?\nAnswer: -1151.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -560*6432\nAnswer: -3601920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3620, -7883, -12786, -18329, -24512, -31335?\n\"Answer: -320*c**2 - 3303*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2496291761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3787 = -4*z, v - 2*z = 1065 + 194. List the prime factors of v.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.11 and -0.611?\nAnswer: 0.721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1387145 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 30. Let p(r) be the third derivative of r**5\/60 - 5*r**4\/12 + 25*r**3\/6 - 7*r**2. Let t be p(8). Is t bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50 + 6*f + f - f + 444 - 174 to the form t + j*f and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 + (3 - (-2 + 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/54 (b) -62 (c) -0.4 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2117 + -1178. Round a to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/14 and 71\/100968.\nAnswer: 100968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(85)*-2)\/(sqrt(5)*-2*-2) + -1*(-1 + 1 + sqrt(833)).\nAnswer: -11*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20589.\nAnswer: 3, 6863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 62040091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*c + 478*c = -1468 + 732 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or 943?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2527612, 5055251, 7582890, 10110529, 12638168?\n\"Answer: 2527639*f - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -299, -606, -903, -1184, -1443, -1674?\nAnswer: -1871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**2 - 6*f - 3. Let r be p(-2). Let v be (1116\/60 + -18)\/((-27)\/(-10)). Which is the third smallest value? (a) -5 (b) r (c) 0.3 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -123.3 to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100011011001111 (base 2) in base 16?\nAnswer: c6cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z + 11. Let w be r(7). Suppose -w*v - 2*d = -0*d - 6, 0 = 4*v + 5*d - 15. What is the units digit of 6*(v\/(-1) + 51\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*t = -4*t + 3, -5*k - 4*t = -15. Let j be ((-4)\/10)\/(k\/(-45)). What is the highest common factor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191604837 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: What is -313269 divided by -6?\nAnswer: 104423\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 22 - 4)*(2 - 3 + 2)*(2*p**2 - 2*p**2 - 2*p**2)*(4*p + 6*p - 6*p).\nAnswer: 328*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/2 - 93*d**2\/2 - 1008*d + 3456.\nAnswer: -(d - 3)*(d + 48)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*v**2 + 12*v**2 - 2*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 2*u + 5. Calculate the remainder when 14 is divided by k(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l - 3. Calculate the remainder when h(3) is divided by 294\/36 + 1\/(-6) + (23 - 26).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59*a - 66*a + 216*a)*(-5 + 1 + 3)*(a - 4 + 4).\nAnswer: -209*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 i when two letters picked without replacement from {i: 1, q: 2, s: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 3*w - 1050, 0 = 3*k + 7*w - 4*w - 1038. List the prime factors of k.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*f = -14, 13*c - 8*c - 10 = 5*f. Solve -c*d = -o + 3 - 4, -5*o - 5*d = 30 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and 3497995.\nAnswer: 3497995.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-5))\/(i\/i**0)*i**(2\/5)*i**2 assuming i is positive.\nAnswer: i**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - -47 - 18*(-245)\/(-370) - (7 - 0)?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -383*c**3 + 257*c**3 + 134*c**3.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 445954 to the nearest integer?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s - 8. Let p be l(-10). Let z(f) = f**p + 76 - 3*f - 76. Let i(k) = 2*k**2 - 4*k + 1. Give -3*i(b) + 4*z(b).\nAnswer: -2*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1097, 4607, 10527, 18851, 29573, 42687?\n\"Answer: -p**3 + 1211*p**2 - 116*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -0 + 6. Suppose 2*q + k*q - 55 = 0. Calculate the lowest common multiple of 3 and q.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 2055*h - 2059*h - 20 = 0, -2*a - 14 = h for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15, 32, 49?\n\"Answer: 17*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/8*-3)\/(23\/276)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -176, -173, -168, -161, -152?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*m**4 - 17*m**4 - 1069*m**3 - 2941*m**2 + 40*m**4 - 13*m**4 wrt m.\nAnswer: 24*m - 6414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3349821289?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2. Let n(a) be the second derivative of a**3\/2 + 5*a. Determine m(n(s)).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21100896?\nAnswer: 2, 3, 41, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -761, -717, -685, -671, -681, -721, -797, -915?\n\"Answer: -j**3 + 51*j - 811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 546508719?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 191 - 190.9998822. What is y rounded to 6 dps?\nAnswer: 0.000118","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12418651.88 and -0.3.\nAnswer: 12418651.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 6*b - 9*b = 105, 4*b = -2*o + 40. Solve -26*j = -2*s - o*j + 4, -5*s + 3*j - 29 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n = -2*n - p + 6, 0 = 5*n - 4*p - 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, n: 1, y: 2, s: 8, x: 3}. What is prob of picking 1 r and 1 x?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 12. Suppose p = -2*f + 4, -p + 1 = i*f - 7. Suppose -3*r + 4*x - 4800016 = p, -3*r - 3*x + x = 4799992. Round r to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/((q**7*q)\/q)*q\/q**6*q**(7\/4)*q*((q*q**3*q)\/q*q)\/q*q*((q*q**(-1\/3))\/q**0)**(-1\/30) assuming q is positive.\nAnswer: q**(-589\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 - -32. Suppose -2*q + 3*h + 35 = 3*q, -2*q + 2*h + 18 = r. Suppose -q*n = -5*b + 3, 5*b + 6 = 21. Solve 5*y + 7 = -n for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/12952?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + 1 + sqrt(891) + -4 + 3 + -5 - (4 + (sqrt(891) + 0 - sqrt(891)) + -3 + (sqrt(891) + -1 - sqrt(891)))*4)**2.\nAnswer: -180*sqrt(11) + 3589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*n - 8 = 0, -20 = -6*n + 2*n. Let c(w) = -7*w**2 - w - 7. Let r(k) = -k**2 - k**2 - 1 + k**2. Let a(s) = c(s) - 6*r(s). Give a(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -42, -35, -16, 21, 82, 173?\n\"Answer: l**3 - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/8 (b) -3 (c) -30 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 10*d - 138. Does 27 divide k(28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 2*a**2 - 3. Let g be q(-3). Let y be ((-16)\/(-10))\/(84\/238). Which is bigger: g or y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + c**2 + 3*c + 717. Let u be g(0). Suppose -5*j + 288 = -u. Is j a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4879*b*d*y**3 + b*d*y**2 - 2*b*d*y + 2*b*d - 4*b*y**2 - 2*y wrt y.\nAnswer: 29274*b*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/38 + (-216)\/114. Let g(k) = 38502*k**2 - 6*k - 20. Let x be g(v). Round x to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 19*l**2 - 6*l + 118. Let y be r(19). Let b(v) = 3*v**3 - 7*v**2 - 4*v - 13. Calculate the remainder when 114 is divided by b(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.1 (b) -431 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/180073075?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**3 - 91*j**2 - 22*j - 21. Let x be w(46). Suppose -4*p + 13 = -x. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 95 and 1158.\nAnswer: 110010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (34 + (-8)\/1)*(27\/(-30))\/((-24)\/40)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x - 4*x - x)*(2 - 3 - 2)*(3*x**2 + 5*x**2 - 3*x**2).\nAnswer: -30*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*m - 1. Let j be (-1 - m) + -1 + 8. Let k = 11 - j. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30.61 - -0.39. Let b = k - 27. Sort b, -3, -6 in increasing order.\nAnswer: -6, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - a + 0*a)*(4 - 4 + 5) - 3*a - 4*a - 5*a - 4*a + a + 2*a - 2 + (-2*a - 2*a + 0*a)*(-7 + 4 - 4).\nAnswer: 25*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 463964 = -3*y, -638*y + 5*c - 463936 = -641*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 78009968?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2. Let f(o) be the second derivative of -37*o**4\/12 + 133*o. Calculate f(h(k)).\nAnswer: -37*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*y = -18. Solve y*j - 4*j = 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/55*2 + 36\/(-198). What is the closest to -0.06 in -1, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 23.7. What is the third smallest value in -1\/22, t, 1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r + 27*r**2 + 3*r - 6*r**2. Let i(v) = -299 - v**2 + 4*v**2 - 293 + 592. Determine z(i(q)).\nAnswer: 189*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64671?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 3, 7 in descending order.\nAnswer: 7, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -17 * 0.00879\nAnswer: -0.14943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j**2 - 20*j. Let t = -69 - -49. Suppose 8 = -3*r + 5*g, 2*r = 5*g - 3 - 4. Let v(h) = h. Calculate r*b(i) + t*v(i).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 - -4 - (2 - 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 10 = k + 3*f, 6 = -5*k - 4*f. Suppose 9 = k*l - 49. What is the remainder when l is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/2432548 and -45\/28.\nAnswer: 17027836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 753.6861 nanoseconds in days?\nAnswer: 0.00000000000872321875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -146*k - 221 - 91*k - 27 wrt k?\nAnswer: -237","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 46*v**2 + 83*v - 190. Let o be i(-44). Let d = 45 + -30. What is the highest common divisor of d and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 13*z**5\/60 - z**4\/6 - z**3\/6 + 11*z**2. Let o = 48 + -46. List the prime factors of l(o).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 236 + -162. Suppose 5*m = z + 131. Does 12 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/4)\/((-2)\/((-16)\/1)). Suppose 0 = x*u + 4*g, 0 = u - 2*g + 6*g + 12. Suppose -4*w = -u*o - 5 - 15, 12 = -4*o. Sort 5, -3, w.\nAnswer: -3, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r = -11*r - 15. Calculate the greatest common divisor of 10 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + 0.0737.\nAnswer: 0.5737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72\/84*(106 + 3)*7.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 (base 15) in base 2?\nAnswer: -11110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 30*g**2 + 193*g + 95. What is o(-21)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**3 + 3*k**2 + 5*k - 2. What is z(3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7000\/3 - 2297. Let g = v + -36. Suppose 0 + 0*f - 1\/3*f**3 + g*f**2 = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-5 + -4 - 19)) + (4 - 2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12 - 8\/(-4)) + (3 - 6). Let n(q) = -7*q + 13. Let m(g) = -3*g + 6. Give d*m(s) + 6*n(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3687 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -g**4\/3 - g**2\/2 - g - 3. Let s(k) be the first derivative of n(k). Differentiate s(u) wrt u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 193, 388, 567, 610, 397, -192, -1277, -2978?\n\"Answer: -20*f**3 + 112*f**2 - f + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from jjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1569047 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 4. Let f be a(8). Let h(j) = -j**2 + 3*j - 1. Let i(g) = -g**2 + 2*g - 1. Let w be 48\/120 + 3 - (-4)\/(-10). What is f*h(t) + w*i(t)?\nAnswer: t**2 - 6*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 54 = a + 2*n, 2*n = 10. Let r(p) = 5*p - 6. Let m be r(6). Let g = m + a. Calculate the remainder when 14 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 422, 3180, 10482, 24542, 47574, 81792, 129410?\nAnswer: 192642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27361.353 months to centuries.\nAnswer: 22.8011275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 15\/4 of a century?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -313140016 by -1.\nAnswer: 313140016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a week in minutes?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2295*n - 17. Let t(r) = -1149*r - 8. Determine 3*k(p) - 7*t(p).\nAnswer: 1158*p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5 + -4 + sqrt(176) - sqrt(176))**2 + (sqrt(176)*-2*-3)**2.\nAnswer: 6332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n - 6*n - 3*n - n**3 in the form v*n**3 + g*n + h + j*n**2 and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-4*(-24)\/(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000037279 rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14793 + -14766. Let g be (-32)\/(-6) + 1\/(-3). Solve 2*r + 0 = 4*s + 24, r - m = g*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 2437075?\nAnswer: -2437072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - -3 - (15 - 12). Suppose w*h = -4, b = -b - 3*h + 6. Let l = 8 + -4. Solve -b - 6 = -l*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 10. Let n be (-12)\/(-16) + (-594)\/(-8). Suppose -4*x + 2*z = -54, -6*z + z + n = 5*x. Calculate the smallest common multiple of g and x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-6))\/(427\/183). Let w(d) = d**2 + 3*d - 5. Let i be w(-4). Let o be (-13 - -11) + (-22)\/(-4). Which is the nearest to o? (a) -3\/4 (b) i (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + k = 266, -22*y + 5*k = -26*y + 340. What is the greatest common factor of y and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144 (base 10) to base 6\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-4) + (-33)\/132. Solve 0 - y + b*y**2 = 0 for y.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 + (5 - -1))\/(40\/(-5) + 3). Solve 4*f = f, r - 3*f + 5 = n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 767?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7727 divided by -72.\nAnswer: 7727\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -70.287 - -4\nAnswer: -66.287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 119 - 53. Calculate the highest common factor of 176 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-23667)\/46)\/49)\/((-6)\/16).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7738 - 5410. Suppose -q - f = -7*q. What are the prime factors of q?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*x + 28, -2*z - x + 7 = -20. Suppose 4*a - 3 = z. What is the third derivative of -4*p**2 + 4*p**2 - p**2 + 6*p**a + 5*p**2 wrt p?\nAnswer: 144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 - 5*k**3 + 3*k**3)*(15*k**2 - 4*k**2 + 3*k**2).\nAnswer: -14*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30.086 and 18.4?\nAnswer: -553.5824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 10*s + 0*s + 3*s**2 + 90 - 89. Let v be k(-4). Let l = v + 57. Solve -l*b + 4*n - 6 = 10, -3*b + 3*n = 15 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 0*z + 15\/2*z**3 + 25*z**2 + 25\/24*z**4 + 0. Does 22 divide r(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 39 = -0*f. Let v(i) = i**2 - 10*i - 17. What are the prime factors of v(f)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/20*15\/(-36)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 199\/1814820 and -37\/2030.\nAnswer: 1814820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/9575 and 19\/54769.\nAnswer: 1369225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eleven halves of a day?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 + 9 + 50 + 2)*(6*w**2 - w**2 + 8*w**2).\nAnswer: 26*w**5 + 793*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -15501000 rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -214, -2\/11, -9, -1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x**4\/4 + 14*x**3\/3 + 41*x**2\/2 + 3*x + 12. What is the units digit of t(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55 + 114. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*u**2 + 11*u**2 - 13*u**2)*(-5*u**2 + 3*u**2 + 3*u**2) to the form a*u**4 + d*u + r*u**2 + y + n*u**3 and give a.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5\/7 - -69\/77. Which is the fourth biggest value? (a) -1 (b) l (c) -1.2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 41217.\nAnswer: 123651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 178260 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132 + 1332?\nAnswer: 2130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2720705769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3468 minus 0.006?\nAnswer: 2.3408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*f + 2*g, -4*g + 16 = 3*f - f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256157.\nAnswer: 11, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 6. Let k(o) = 2*o**2 + 5*o + 2. Give k(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*5*(sqrt(832) - (sqrt(832) + (sqrt(832) - -3*sqrt(832)) + -4)) - (1*(sqrt(832) + 0) + -4)*-5)**2.\nAnswer: -35200*sqrt(13) + 2518400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 2*g - 326, -4*g + 751 = 3*z + 119. Suppose -5*h = -0*h - g. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, -6, 0, -35, 2, -2, 36 in ascending order.\nAnswer: -42, -35, -6, -2, 0, 2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b + 87*b**2 - 3*b + 2 + 15*b.\nAnswer: 87*b**2 + 8*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26666261, -26666263, -26666265, -26666267, -26666269, -26666271?\nAnswer: -26666273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 + 36. Solve r = -f - 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.18 + 0.82. Let b = o + -15.6. Let t = b + 8.6000007. Round t to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -141 - -156. Calculate the highest common divisor of 960 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -50715.1553 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 92 - 153. Let u = -105 + f. Is (-3)\/6*u + -1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -9, 3, -3, 36 in decreasing order.\nAnswer: 36, 3, -1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.152 + -5.74.\nAnswer: -5.892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 32 = 2*k. Let m = 10 - k. Let d be -10*(0 + 2\/(-4)). Solve -m*j = r + 2*r, j = -d*r for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*k + 6*k + 6*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 18 = 5*m - i, m - 3*i - 12 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6*1 + (485 - 48)?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24325 divided by -3475\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + h + h + 4, -4*h + 21 = 3*j - j + 59 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**2 + 2244*g + 419628 = 0 for g.\nAnswer: -374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4, -50, -172, -406, -788, -1354, -2140?\n\"Answer: -6*f**3 - 2*f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + sqrt(8)\/(-2*2*sqrt(4))) + -3.\nAnswer: 5*sqrt(2)\/4 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3212*f + 2 + 734*f - 269*f as m*f + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -326, 15, 1, 3 in increasing order.\nAnswer: -326, -3, -1, 1, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/5)\/(l*l\/(l**(-6\/11)*l)))**(-6\/11) assuming l is positive.\nAnswer: l**(708\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - (0 + -1) - -1. Suppose 2*w + q + 40 = n, -3*w = -4*w + 4*q - 11. Let h = w - -29. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53452)\/166*((-494)\/91)\/19?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 0*m - m + 0*m. Let z(f) = 2*f**2 + f. Let r = -5 - -7. Let v(s) = s**2 + s. Let n(w) = r*v(w) - 2*z(w). Give n(u(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5699720)\/(-306908) - (-8)\/(-14)*1?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 60*o**2 - 5. Let p be f(0). Let h(v) = -7*v + 7. Let y(r) = 15*r - 15. What is p*h(l) - 2*y(l)?\nAnswer: 5*l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*d*r**4 - 607*d*r**3 - d - 6*j*r**4 + 6321*j*r**2 + 2*r**2 wrt r.\nAnswer: -96*d*r - 3642*d - 144*j*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1103412 (base 5) in base 4?\nAnswer: 10230200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3 or -203321316?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 684\/513*(0 - 18).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g**2 + 35*g + 4. Let a(w) = -w**2 - w + 313. Let m be a(-18). What is r(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -202 - 3?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4164 is divided by 223?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 - c**2 + 3*c**2)*(-27*c**2 + 8*c**2 - 56*c**2).\nAnswer: 75*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 3.86?\nAnswer: 19.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 17*u - 4. Let t be k(-4). Let w be (1 - (9 - 4)) + 1. List the prime factors of -10*(t\/(-15))\/w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29066 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 0)\/(2\/10). Suppose -f*q = -30 - 10. Is 4 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -612*b = 218*b - 257*b - 6876 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2 + 13*q**3 - 2*q - 4 + 0 + 6 - 3. Let y be g(-1). Is ((-144)\/(-56))\/((-2)\/y) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 1796 + 1796 = 0. Suppose -52*z - 10 = -54*z, r = 4*v + 3*z - 1463. List the prime factors of v.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165 and 118910220.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 + 111. Let c = t - -9. Let p = c - -3. Round p to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4317894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -119*o**4 + o**3 - o**2 - 83*o**4 - 2 + 505*o + 205*o**4 to t*o**4 + v*o**2 + d*o + i*o**3 + s and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 2*p = -m + 4, 2*m + p = 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 25.5. Which is the second biggest value? (a) i (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3497, -3498, -3499, -3500, -3501?\n\"Answer: -d - 3496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -152 in 0, -4, 83\/6, -1\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -929220 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 2:16 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -5 - -9 - -114) + (-43 + 5 - -24).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.048 + 0.32\nAnswer: 0.368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c98b (base 14) to base 2.\nAnswer: -10001111000001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) -3 (c) 2.83195\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/51667 and 26\/97405?\nAnswer: 5941705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11968 and 880?\nAnswer: 59840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 15 = 4*j + 43, 0 = -3*j - 4*l - 10. Let g be 60\/(-8)*8\/j. Let m be (18\/10)\/(3\/g). Solve 3*w + m = 5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37 in 244156.4, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1986646093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - k - 7 = -2*b, 2*k = -3*b + 13. Suppose -k*i + 71 = -24. Is 19 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 5:39 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 7*q**2 - 6*q - 9. Let u be x(8). Let l(f) = 2*f + 4. Let z be l(u). Let a = -3 + z. Solve 5*h + 0*h = -a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 337*w - 738 - 273. Factor 2\/3*h**2 - 2\/3*h**w - 2\/3 + 2\/3*h.\nAnswer: -2*(h - 1)**2*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33351 + 102080. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1919 + 2077. Calculate the remainder when b is divided by 61.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17446771 is divided by 564?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h**3 - 3*h**2 + h - 6. Let u(v) = v**2 + 10*v + 5. Let g be u(-9). Is f(g) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 3*n**2 + 10*n + 3. Let j be 8\/(-4) + (0 - (2 + 1)). Let d be f(j). Factor 20\/3*u**5 + 12*u**d + 0 + 0*u - 16*u**4 - 8\/3*u**2.\nAnswer: 4*u**2*(u - 1)**2*(5*u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*l + 45*l + 13*l = 369. Solve 7 = -5*o - 4*v, 14*v - 16*v - 3 = l*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 7 = -4*k + 3*k, 0 = -2*k - 2*n + 6. Let o be (-3)\/6*k*4. Solve a = -o*z - 0*z + 8, -15 = z - 4*a for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 1397*f + 24 = 1392*f, 0 = -3*f - 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*o + 6, 2*d + 1 = 5*o. Suppose 5 = 5*h, -4*a + 28 = 2*h + d. Suppose 0 = x - a*x + 120. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -81990496*t**5 - 228530738*t**2 wrt t?\nAnswer: -4919429760*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/4)\/(15\/40). What is the third derivative of 11*n**6 - 1 - 28*n**6 + 3*n**5 + 7*n**6 + 18*n**u wrt n?\nAnswer: -1200*n**3 + 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + (-1 + sqrt(363))**2)*2 + -6*1*sqrt(363)*-1 + 0.\nAnswer: -2214 + 198*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -77 - -76.95. Suppose -2*g + 0*g - 10 = 0. What is the smallest value in 2, g, h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-144)*3)\/((-2)\/27).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(2\/19)\/((-3)\/(-57))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 2*k = 2, -106336*c = -106333*c + k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296*k - 1127 - 3803 + 194 = 0 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 348494836 to the nearest integer?\nAnswer: 18668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 545, 562, 579?\nAnswer: 596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -547, -1096, -1643, -2188, -2731, -3272?\nAnswer: -3811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4451 - -10127. List the prime factors of n.\nAnswer: 2, 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 11*p**2 - 35*p - 5. What is a(-4)?\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -13*h**2 + 2*h - 10. Let o(z) = 8*z**2 - z - 5*z**2 + 6*z**2 + 7. Let q be (-141)\/(4*(-21)\/140). Let s = q + -230. Calculate s*l(i) + 7*o(i).\nAnswer: -2*i**2 + 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 63.31092 to two dps.\nAnswer: 63.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 30584, 24992, 19400?\n\"Answer: -5592*y + 36176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 386?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 124423388 and 110092?\nAnswer: 6476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -1\/3 (c) 4 (d) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*f**3 + f**2 - 12*f + 54 wrt f?\nAnswer: -174*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5782039, 11564079, 17346117, 23128153, 28910187?\nAnswer: 34692219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -31, 215, -25?\nAnswer: 215","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 9:34 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23\/750 - -8857\/2625. Calculate the common denominator of (21\/(-224)*12)\/((-3)\/11) and u.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -176572\nAnswer: -176562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -48308 - 76134?\nAnswer: -124442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -377*n + 108*n - 8514 + 2592 = 154*n for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - -1) + -119 - -150?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8, -29, -72, -143, -248?\n\"Answer: -z**3 - 5*z**2 + z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 82253556 divided by -1958418\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6513348859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1161 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - g + 13. Let w = -7 - -7. What is the units digit of v(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 269241840 to the nearest integer?\nAnswer: 16409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/213 and -23\/149739?\nAnswer: 149739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.5060241 minutes?\nAnswer: 30361446000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -6*h**2 + 4 + 7*h + 4*h**2 - 10*h**2 + 2*h**2 + h**3. Let b be l(9). List the prime factors of 4\/b + 228\/14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 11. Let l = -0.4 + 0.7. Sort m, -0.1, l.\nAnswer: -0.1, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 38\/2775 in -3\/4, -17, 2, 5, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 201190224 by -24.\nAnswer: -8382926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s + 56. Let y(t) = 18 + t - 7 + 31*t**2 + 304*t**3 - 303*t**3 + 49. What is the remainder when b(0) is divided by y(-31)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/25)*n*n)\/(n*n\/n**(1\/2)*n*n))\/(n**3\/n**4)*n*n*n*n*n**7*n**(-5\/6)*(n\/n**(-2))**(2\/11) assuming n is positive.\nAnswer: n**(8491\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16418 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (176\/(-3168))\/(10\/12)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 600841512?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 5824?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/24 - (-60)\/(-144).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2830, -22604, -76276, -180796, -353114, -610180, -968944, -1446356?\n\"Answer: -2825*l**3 + l**2 - 2*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2542 <= -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -7*m. Let w(n) = -27*n. Calculate u(w(f)).\nAnswer: 189*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.06728 + -0.067272363. Round w to seven decimal places.\nAnswer: 0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12700*a + 6 - 6346*a - 21*a**2 - 6372*a as c*a**2 + w*a + b and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 20 - (-5 - -6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 10 = 0, 5*t = -0*r + 4*r + 8. Solve t*u + 2 = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -3, 1307 in decreasing order.\nAnswer: 1307, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 29 - -23 - (2 + -1 + -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from kktkttttkttkt?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3908789 and 1172191.\nAnswer: 4457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than 131\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24360.\nAnswer: 2, 3, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 19332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188092 is divided by 1881.\nAnswer: 1873","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i + 0*i = 101000. Round i to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -233 + 235. Let n(t) be the first derivative of t - 5 - 1\/2*t**y. Determine n(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171 - 180 = 9*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 218575 and 1064148?\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w\/(w\/(w\/(w*(w\/w**(2\/3))\/w))))\/w)\/w*w*w**(-3)*w*w*w**(-4)\/w*w*w**(-6\/7)*(w**(-1\/4))**(-1\/4)*(w**0\/w)**(-48) assuming w is positive.\nAnswer: w**(14405\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 n when four letters picked without replacement from nsgnnfg.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.1 + 0.42. Let x = -1.9 - -1.68. Let w = k + x. Round w to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 3*p - 388, -392 = -3*x - x + 4*p. Suppose -4*l + x = -66. Suppose -4*d + 40 = -l. What is the highest common divisor of 8 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 1, -0.3, -6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 z when two letters picked without replacement from {j: 3, t: 4, r: 3, z: 3}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11032579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 452 = -102. Let c = o - 38. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3013130133 (base 4) in base 9?\nAnswer: -1474546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/184 and -89\/10512?\nAnswer: 241776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2779 - 66.8721. What is s rounded to the nearest integer?\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(-3 - -1 - 209). Let m = b + 952. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - (-36)\/(-4))\/1. Let q(l) = -2*l - 10. Let a be q(t). Sort a, 1, 3 in descending order.\nAnswer: 3, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1183, -2, -1, 21, -3 in decreasing order.\nAnswer: 21, -1, -2, -3, -1183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(306) + 4*(sqrt(306) + sqrt(306)*2) + sqrt(306) + sqrt(306)))\/((sqrt(56) - sqrt(504))\/(sqrt(1008)*1 + sqrt(1008) + sqrt(7))).\nAnswer: -3375*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 3:59 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -40\/3*x**2 - 55\/12*x**4 - 320\/3*x + 1\/3*x**5 + 20*x**3 + 25. Factor a(m).\nAnswer: 5*(m - 4)**3*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -16*m - 21 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 5, -2, 4, -15, 4953 in descending order.\nAnswer: 4953, 9, 5, 4, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26\/9 in -2\/11, 1, 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -12*n + 120. Sort 0.5, n, 0.1 in ascending order.\nAnswer: 0.1, 0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 98, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 160.1 + -1005.1. Let t = n + 835.73. Let y = -8.8 - t. What is y rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18161*f*h**5 + f*h**4 + 2*f*h**2 + 2*f*h - 5*f - 15*h**2 + 1 wrt h.\nAnswer: 1089660*f*h**2 + 24*f*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9990*d**3 - 9994*d**3 + 29991*d**3 - 10009*d**3 - 2.\nAnswer: -2*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in years?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -26024 divided by -1176\nAnswer: 3253\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -50*u**2 + 28930*u - 8369449\/2 = 0.\nAnswer: 2893\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 126, -5, -4, 3, 278, -6 in ascending order.\nAnswer: -6, -5, -4, -1, 3, 126, 278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 898549.4 weeks?\nAnswer: 543442677120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 76*c - 16. Let s(t) = 15*t - 3. Suppose -2*x = 4*i - 38, 11*x = 7*x - i + 48. Give x*s(l) - 2*m(l).\nAnswer: 13*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16)\/(-7) - 0) + -2. Let l(q) = q**2 - 3*q + 7. Let j be l(4). Suppose -j*o + 6*o = 0. Which is the nearest to o? (a) p (b) 0.2 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a litre in millilitres?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 2042?\nAnswer: -2041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2803 (b) 0.05 (c) 3 (d) 45 (e) -0.3 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.299 + 2122748341825.\nAnswer: 2122748341825.299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*c - 5. Suppose 0 = c*l + 5*g + 8, 2*l + g + 0 = 8. What is the units digit of (l - -1)*(-1 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-15)*(-5)\/(-2). Let z = -1.4 - 6.6. Let d = z + 11. Which is the third smallest value? (a) r (b) 0.1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -18, 36, 3, 4, 0.1, -0.5, 38?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 247 - 39. What are the prime factors of p?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -73 smaller than -515\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-12))\/((-3)\/18). Let h(t) = -t**3 - 7*t**2 + 3*t**s + 0*t**2 - 4*t + 6 - 2*t**2. Let a be h(-5). Solve 2*c - 1 = -4*x + 3*c, 2*x + c = -a for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/((-20)\/(-5) + -2). Suppose -5*j + 233 + 17 = k. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (26\/(-13) + 4\/2). Solve n = -k + 7 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oltytsaaoat. Give prob of picking 1 a and 1 s.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 577*o + 325. List the prime factors of v(47).\nAnswer: 2, 3, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1730)\/(-35811) - (11\/(-33))\/((-3)\/2).\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*g - 15. Suppose -g*a = -8*a + 10. Suppose 0 = -2*i + a + 2. Solve -i*z + 3*r = -4, -3*z + 7*z - 10 = 5*r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(108) + -3*-1*sqrt(108) + 0 + 4*sqrt(108) + sqrt(108))*-1*-6.\nAnswer: -324*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 162284 and 14036.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -222, 21, -2, -6.\nAnswer: -222, -6, -2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24143032 + -321?\nAnswer: -24143403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9858619 micrograms in kilograms?\nAnswer: 0.0000000009858619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rearggnaajgj. What is prob of picking 1 e and 1 a?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1182, 2332, 3454, 4542, 5590, 6592, 7542?\n\"Answer: -l**3 - 8*l**2 + 1181*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 251958191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 4 = 4*n, 0 = -5*p + n - 27 + 36 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 3 + 6 + (-4)\/2. Suppose -k*q - 7*q + 19514 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-36) - (-2)\/(-6). Suppose q = -13*o + 9*o + 236. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 14 = -2*o - 1, -4*p + 12 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 10914126 and 10914126 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7*((-320)\/70)\/(-8). Let j = 0 + 0.05. What is the closest to j in 2\/9, 3\/4, k?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + -8 - (-4 + 1). Is -1 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n\/n**1)\/n)\/n**(-4)*(n**(-2)*n)\/(n*n**(-1)) assuming n is positive.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 230450 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 56 and 91.2.\nAnswer: 147.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 535 and 71781485.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 589737.3 meters to centimeters.\nAnswer: 58973730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 634*i**2*t + 4399*i**2 + 2*i*t - 2*i + 4*t + 98074 wrt i?\nAnswer: 1268*t + 8798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/4*1*-8. Let j = 7 - 9. Let w = 4 + j. Sort t, 3, w in decreasing order.\nAnswer: t, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -3, -5, 4 in ascending order.\nAnswer: -32, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 9*x**2 - 3*x - 19. Let n be k(-9). Suppose 0 = 4*l + n - 64. Suppose -6*j - 840 = -l*j. List the prime factors of j.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 358 divide 119691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5477 to 2 dps.\nAnswer: -0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + 127 + 28\/(-14). What is the closest to 1 in x, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1032 = -191*o + 179*o. What is the highest common divisor of 2064 and o?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(1\/(-2)*2). Suppose n = -2*c - 2*c. Suppose -y + 39 = -c*m + m, -5*y - 43 = -2*m. What are the prime factors of m?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581.324 millennia in years?\nAnswer: 581324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 246 and 0.14.\nAnswer: 34.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2322*f - 16356. Calculate t(7).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 8, -393, -14, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 5, -4, -9\/7 in descending order.\nAnswer: 5, 3\/4, -9\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43.8 - -1.2. Let t = 44.9999927 - h. Round t to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 0*x + 3*x = 55, 0 = o - 2*x + 2. What is the remainder when 30 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -5, 2*k - 4*a = 1766 - 1754 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2331557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 6 = 12*q. Find z such that -3*z - q*z**2 + 8*z - z**2 - 2*z**2 + 30 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3 (b) -1\/7 (c) 0.3 (d) 0.5 (e) 716\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 - -52. Suppose 17*t = h*t + 1. What is the smallest common multiple of t and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 48 = 232. Calculate the least common multiple of ((-24)\/(-8))\/(6\/4) and -1 + -1 + k\/10.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34 in 5, -1\/5, 1727?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3728 = -629*c - 149*c + 23956 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c3 + -48a?\nAnswer: -55d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, t: 3}. Give prob of picking 3 t.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by -976703\nAnswer: 22\/976703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -11*1*3\/3. Let q(c) = c**3 + 11*c**2 + c + 13. Let l be q(m). Sort l, -3, 1 in ascending order.\nAnswer: -3, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2350762445*t**3 - 18806966880*t**2 - 6938640*t - 640.\nAnswer: -5*(t + 8)*(21683*t + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 839617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 2*p - 6, 0 = -5*b - 4*p + 7*p + 4. Suppose -3*h + 4 = -j - 32, 3*j = b*h - 31. Solve -4*l = 5 + h for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2516 by -68.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*r - 432 - 240 = 69*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13325728 and 155480.\nAnswer: 13481208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11122220 + -111?\nAnswer: 11122102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3470 + 24344\/7. What is the common denominator of g and (6\/10)\/(2\/(-37))?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000422 to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a tonne in kilograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - m**2 - 4*m + 2. Suppose -2*k - 4*o + 24 - 2 = 0, -5*o + 26 = 2*k. Suppose -z + 12 = k*z. What are the prime factors of r(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -262610, -525092, -787570, -1050044, -1312514, -1574980?\n\"Answer: 2*l**2 - 262488*l - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 251 - 29. Suppose 2*o = -5*d + i, -3*d + 5*o + 119 = -8. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-1)*24444\/388. Solve 70*b = w*b - 28 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 2*g**2 + 2. Let d be m(-2). Suppose -d*f = -f + 132. Is 9 a factor of ((f\/(-3))\/(-2))\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m. Let z(f) = -59*f**2. Calculate n(z(b)).\nAnswer: -118*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-807*b**2 - 945*b**2 + 1302*b**2)*(-2*b - 3 + 3).\nAnswer: 900*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 + -20)\/((-28)\/8 + 0 + 3). Solve 49 = -g*x + 337 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 410745 = -24*j + 48*j - 9*j. List the prime factors of j.\nAnswer: 139, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2224 - 1175*c**3 - 942*c + 942*c + 2224 - 2244*c**2 wrt c.\nAnswer: -7050","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 6*g. Let s(c) = 34804*c**2 + 994*c. Give s(b(d)).\nAnswer: 1252944*d**2 + 5964*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 69615, 139189, 208763, 278337, 347911?\n\"Answer: 69574*n + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -94 + 93.899. Let s = -0.201 - h. Is s less than or equal to -1\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/6, 0.05, -0.11 in descending order.\nAnswer: 1, 1\/6, 0.05, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (3 - 11) + 12 + -5 + -3\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2187053?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.4 - -0.6. Let s = -57 - -56.8. Which is the nearest to n? (a) s (b) -1\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(72) + sqrt(72) + 1 + sqrt(72) + sqrt(72) - sqrt(72))**2*1.\nAnswer: 36*sqrt(2) + 651","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**5\/5 - 4*a**4\/5 + 2*a**3\/5 + 4*a**2\/5 = 0. Calculate a.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/((-84)\/(8\/(-4))))\/(270\/(-121176)*-34)?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 9, -m - 173 + 506 - 164 - 168 = 2*z for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 73*p**2 + 262*p - 24022. Determine t(72).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -742 - -2279. What is the remainder when b is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3308 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k. Let x(v) be the first derivative of 0*v**3 + 0*v + 1\/12*v**4 - 1 - 1\/2*v**2. Let c(p) be the second derivative of x(p). Determine c(u(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/4 - 615*i**2\/2 + 3697*i\/4 - 1233\/2.\nAnswer: -(i - 2)*(i - 1)*(i + 1233)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t = 4*d + 9*t + 6, -3*t = -9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, s: 1, v: 3, w: 4}. Give prob of sequence sv.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*k**3 + 23*k**3 + 22*k**3 - 89*k**3 + 13*k**3.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -39*w**2 - 284*w + 401. What is y(-10)?\nAnswer: -659","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75290*x**2\/9 + 1706576*x + 544.\nAnswer: 2*(x + 204)*(37645*x + 12)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 1154*j - 13. Let n(a) = 578*a - 5. What is 5*n(x) - 2*v(x)?\nAnswer: 582*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/126*6)\/(1\/33)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00296797 rounded to 4 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183589027 - 18.36.\nAnswer: -183589045.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10, 15, -291, 4\/7?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 270*d - 12. Let j(m) = -27*m + 1. Calculate 21*j(x) + 2*r(x).\nAnswer: -27*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, z: 1, w: 1, c: 1, y: 2, f: 2}. Give prob of picking 1 k, 1 c, and 2 f.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 830675293 and -58.\nAnswer: 830675235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-117)\/78)\/((99\/8)\/3)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 divided by -15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - t**2 - 2*t + 65000. Let g be u(0). Round g to the nearest one thousand.\nAnswer: 65000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7885993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*r - 9 = -89 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 203*y - 460*y + 223*y. Let r(m) = 4*m**2. What is a(r(h))?\nAnswer: -136*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus -5.541?\nAnswer: -6.541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -6*s**2 - 15*s - 23. Let w(o) = -7*o**2 - 15*o - 24. Let k(h) = -6*t(h) + 5*w(h). Calculate the remainder when k(-18) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -80*r - 50*r - 37*r + 33*r + 2*r + 4*r - r - 4*r + (0 - 3 + 1)*(-18*r - 3*r - 7*r).\nAnswer: -77*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -4. Let v be j\/(-7) - (-15)\/(-21). What is the units digit of (1\/(-2))\/(v\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2587 and 1592.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 326060612 by 2.\nAnswer: 163030306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -25. Suppose -22 = -5*k - t, -7 + 3 = -3*k + h*t. Solve -3*n - 9 = -2*g, -4*n = -k + 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + y = 31, 0 = 4*g - 3*y + 25 + 13. Let a = g + 18. What is the smallest common multiple of (18\/(-4))\/(1\/(-2)) and a?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -5, -4 in ascending order.\nAnswer: -5, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 16. Let h = -2.3 + o. What is the third smallest value in 4\/3, h, -5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140206563 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 638 - 604.3. Round f to the nearest integer.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**5\/8 - 5*o**4\/12 + 5*o**3\/12 + 5*o**2\/2 - 16*o. Suppose r(k) = 0. What is k?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 838011337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*m + 89, -3*k + 3*m + 141 = 6*m. Calculate the remainder when k is divided by 28.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + 71. Does 24 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -256*u**2 + 10551*u + 4708613.\nAnswer: -512*u + 10551","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 12*s**2 - 11*s + 5. Suppose -20 = -z - 9. Let y be p(z). Factor -4*m**5 + 0*m**3 - 3*m**y - 2*m**4 + m**3 + 8*m**5.\nAnswer: m**3*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 57\/1739?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 3*n**3 + 15*n**2 - 18*n = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z*z*z**0\/z*z)))\/(z*z**(2\/5)*z))**(3\/10)*(z**(3\/7)*z*z**(1\/3))\/(z**0)**(18\/11) assuming z is positive.\nAnswer: z**(862\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*q + 3*u - 3 = 0, -48 = -4*q - 3*u. Calculate the least common multiple of 27 and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -11 - 1 - -2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1257038269.\nAnswer: 293, 4290233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 take away 0.1254?\nAnswer: 42.8746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353646314.\nAnswer: 2, 7, 71, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4260846 not equal to -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -2, 1\/20, -0.2 in increasing order.\nAnswer: -2, -0.2, 1\/20, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-3\/5))\/((j*j**(5\/4))\/j)*(j*j**(2\/13)\/j)\/(j*j**(-6)) assuming j is positive.\nAnswer: j**(1119\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3499\/3 - -1152. Suppose -27 + 72 = 3*r - d, 0 = -5*d - 15. Let l = r + x. What is the second smallest value in -4, 2\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 7, 6, 2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 958148897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 3, j: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 0.1 (b) 2 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.11 (b) -0.1 (c) 7 (d) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/1*(6 - -5 - 7). What is the greatest common factor of 36 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.5668441 to 3 dps.\nAnswer: -18.567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7281\/(-23461)*(-30)\/54.\nAnswer: 5\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/23)\/q)**(-12)\/(q*q**5*q)**(7\/11) assuming q is positive.\nAnswer: q**(2173\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0026418438 rounded to 6 decimal places?\nAnswer: -0.002642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*y**2 + 42*y**2 - 49*y**2 - 35*y**2.\nAnswer: -56*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 361 = 2*i. Suppose -5*m + 206 = 2*d - 403, 3*m - i = d. Let g = 260 - m. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 0.0811?\nAnswer: 1.9189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 82293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -5. Suppose -4*a = 3*v - 0*v - 179, -118 = -w*a + v. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9996172?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 770227248?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/10)\/(63\/(-84))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/7 (b) 1\/3 (c) -2\/5 (d) 5 (e) 0.2 (f) -6314\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 53*t + 13. Calculate i(4).\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-42) + (2 - 92\/78)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 3, -3\/7, 5\/2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8025.\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-4 - (-4 - -5 - 3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/1355 and 41\/6?\nAnswer: 8130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 745 + 5234. What are the prime factors of p?\nAnswer: 3, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -72*(48\/(-3))\/(-16) + (-8 - -4)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 0 + 1 - 1 + 6*l. Let o(m) = -4 + 2*m**2 + 17 - 13. Determine t(o(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/990 and -67\/3564.\nAnswer: 17820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13330 (base 4) to base 8.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than 178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (9 - 6) + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*g**3 - 11*g**3 - 8*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25787 + -25786. Solve -4*p - 2 = 2*q, -8*p - 5*q + s = -4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 4 = 0, -20*s - 11*k = -6*s - 6*k - 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 188 - 187.8. What is the second biggest value in -0.2, t, -9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3328*r + 70503 + 83175 = -135858 for r.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -261, 0.06, 3, -312?\nAnswer: -261","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 486494520?\nAnswer: 2, 3, 5, 41, 61, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 231*i + 28. Let f be n(0). Solve 28*v + 84 + f = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 535*k**3 + 537*k**3 - 6*k - 1076*k**3.\nAnswer: -4*k**3 - 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmcccmmccm. What is prob of picking 3 c?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8821*g**2 - 858 + 8820*g**2 + 858.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -8474.2 and 1.6.\nAnswer: -8472.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 - -100100010001110100?\nAnswer: 100100010001111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -w**3\/6 + 11*w**2\/2 - 22*w. Suppose -4*r - 6 = -42. Is p(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(70) + -4*sqrt(70)*-1)\/sqrt(10) + -1.\nAnswer: 3 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -383 - 37 = -17*l - 25*l. Solve -30 = l*x - 20 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**3 + 44*g**3 + 17*g**3 - 15*g**3.\nAnswer: 46*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, m: 1, o: 2, w: 9}. Give prob of picking 2 o.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 + -0.2. Let a = 0.94 - -0.06. Let v = a + -5. What is the closest to 1 in v, 1\/3, s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -8*q + 29. Suppose -5*n - q = 1. Which is the nearest to -3? (a) -3\/4 (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 2:15 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -5*c**3 - 28*c**2 - 4*c + 1555. Let q(j) = -9*j**3 - 49*j**2 - 7*j + 3109. What is -7*a(f) + 4*q(f)?\nAnswer: -f**3 + 1551","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 6\/10163 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 200*l - 198*l - 133, u = l + 21. Solve 5*p = -3*t + 10, -t = -8*p + 4*p + u for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -18 in increasing order.\nAnswer: -18, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 36*z + 212. Give s(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.302 + -0.188. Let s = 0.49000158 + f. Round s to seven dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1650653 is divided by 1880?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-1*(1 + -1*sqrt(192) + 6*-2*sqrt(192)))**2)*3.\nAnswer: -624*sqrt(3) + 97335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-1) - -6*(-23)\/(-1). Let c = i - 77. Does 31 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) -21 (c) -1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/69 (b) -9\/4 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d - 1. Let z(b) = 4 + 94*b - 190*b + 9 + 95*b. Let w(f) = f - 15. Let h(g) = -6*w(g) - 7*z(g). Calculate -3*h(n) + 4*j(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -w**4 + 666251*w**3 - 42249566?\nAnswer: -4*w**3 + 1998753*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 9*t**2 - t - 7. Determine n(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**9\/5040 - u**7\/210 + 5*u**4\/6 - 7*u. Let z(d) be the third derivative of c(d). Find the third derivative of z(b) wrt b.\nAnswer: 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24919057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - 54) + 22 + 10 + 1 - (9 - 86).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*3\/10*1136200\/34086?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3075*m - 40 = -3070*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 7*j**2 + 2*j - 9. Let k be o(7). Suppose -4121 = 42*y - 167*y - 746. What is the fourth smallest value in 2\/7, k, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**2 + 5*q**2 + 0*q**2)*(-2*q + 5*q - 2*q)*((-37 + 20 - 18)*(0 - 5 + 3) + 4 - 2 + 0).\nAnswer: 72*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3595\/28 + -79847\/623. Let s = h - -2\/89. Is s greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/(-5) - -1*56\/40. Let c be (4 - 1) + 1\/1. Sort m, c, -5 in descending order.\nAnswer: m, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 5:25 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38218\/2058797 + -28\/1651. Let v = m - 31229\/33669. Find the common denominator of -2\/15 and v.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 579 + 143 = 38*y for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 85476, 170980, 256484?\n\"Answer: 85504*g - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 8 = j, 2*s + 12*j = 8*j - 2. Let o be (272 - 277) + s\/(30\/(-56)). Which is the nearest to 1\/3? (a) o (b) -2 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34*0.018454.\nAnswer: -0.627436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/3 bigger than -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/6*18\/(-10). Solve -5*a = 2*g - 2, 5*g + l*a + 2 = 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, l: 7}. What is prob of sequence mllm?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11114040 (base 5) to base 3.\nAnswer: -11222110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 8) to base 7\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4675 and 11693?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6713\/8 + 831. Let g = -517\/7 - -4325\/56. Calculate the common denominator of i and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 8:12 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 5*f**2 - 5*f + 6. Let y be t(6). Suppose -3*w + 4*w = y. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -89\/8485 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9743733*t**5 + 167731*t - 148?\nAnswer: 194874660*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 44563, -5 in decreasing order.\nAnswer: 44563, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 8*u - 21. Determine k(-8).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80416 by -14.\nAnswer: -5744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1142 and -3?\nAnswer: 1139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 36*f**2 + 365*f - 10. Determine h(44).\nAnswer: 562","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 83145*c**2 + 83146*c**2 - 2 + 1 + 7.\nAnswer: c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - g**2 + g + 1. Let z(a) = -7*a**3 + 3*a**2 - a - 3. Let k(l) = 6*q(l) + z(l). Let t(f) = -f + 6. Let o be t(9). What is k(o)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*0.5.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -133\/8 in 207, -0.1, 2\/13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33105842 and 4235.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15 - 7 + 2*i - 14 + (-1 - 2*i + 1)*(-3 - 1 + 1) - 3*i - i + 3*i.\nAnswer: 7*i - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26712, -213742, -721412, -1710042, -3339952?\nAnswer: -5771462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(3 + 0))\/((-2)\/(-6)). Let n be (-1)\/3*(p - (5 - 2)). Find the second derivative of -7*f**n + 8*f**2 - 13*f + 7*f**2 wrt f.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 121\/53 - 4003\/848. What is the common denominator of 85\/36 and n?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s**2 - 4*s + 1. Let y(a) = 13*a**2 + 22*a + 7. Let m(q) = 10*o(q) + 2*y(q). Determine z, given that m(z) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.167 + -16.167. Which is the fourth smallest value? (a) 0.5 (b) -0.3 (c) j (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w = -45 - 81 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1152) + -1*sqrt(1152)*-4 + sqrt(1152))\/(sqrt(196)*1*5))*6.\nAnswer: 12 + 432*sqrt(2)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1207 + -1205. Solve -t*y + 3*a + 4 = -y, 0 = y - a - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3312, 6620, 9926, 13230, 16532, 19832, 23130?\n\"Answer: -n**2 + 3311*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 134.9923+4122\nAnswer: 4256.9923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2922 + -2926. Which is the smallest value? (a) -6 (b) -0.1 (c) 3 (d) v (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 6) in base 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g**(-4\/27)))\/g*(g\/(g\/g**37))\/g)\/(g\/(g**(3\/10)\/g))**(23\/5))**41 assuming g is positive.\nAnswer: g**(1512613\/1350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/220 and -117\/12980?\nAnswer: 12980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-600)\/240*12\/55?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*c = 7014, -4*l - 3509 = -5*l + 4*c. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3 - 12*i - 5 - 6*i - i - 2*i**2. Is s(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 9. Suppose -k - 7 = -0*z - f*z, 0 = -3*z - k + 11. Find the second derivative of 3*i**3 + 5*i + i**z - 3*i wrt i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((-3 - -11) + 0 + -3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 0*d - 2\/3*d**3 + 8 + 0*d**2 + 1\/4*d**4 + 1\/5*d**5. Let u(w) = 0. What is w?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-594)\/24 - (2 - 2))*8. Let f = 20 - t. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) - 1*(sqrt(190)*-1 - sqrt(190)))\/(1*sqrt(10)*-1).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 9:51 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009406 rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -45, 0.3, -2\/21, 15, 2\/17?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -288, -289, -290, -291?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 283860 and 3150348.\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/30)\/((-8)\/20).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.983 and -1.780533.\nAnswer: 1.202467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 355967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-916)\/(-84) + -6?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 5. Suppose 5*w = b*h + 15, -w - 12 = -h - 5*w. Let k(x) = -x**3 + x**2 - x + 6. What are the prime factors of k(h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -43*m + 1207. Determine t(6).\nAnswer: 949","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 266.6 - 267. Let c = -22.3 - -22. Let x = 2 + 4. Put x, a, c in ascending order.\nAnswer: a, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of 5*t**4\/24 - 10*t**2. Let u(a) = -a. Give u(f(r)).\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1455 and 485?\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 122.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 + 1. Let m be (2 + 52\/(-8))\/((-6)\/8). Let g be (m\/(-15))\/(6\/(-45)). Suppose -4*o - 2 = g*t, 5*t + o - 5*o + 14 = 0. Calculate x(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3567*g. Let l(z) = -2*z + 12. Let q(c) = -2*c + 10. Let m(u) = -5*l(u) + 6*q(u). Determine m(p(o)).\nAnswer: 7134*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 31424302 (base 5) to base 11\nAnswer: 170658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**3*h*h\/h**(-1\/4))\/(h\/(h*h**0\/h))**(2\/49))**(-41) assuming h is positive.\nAnswer: h**(-41861\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1110, 2220, 3330?\nAnswer: 4440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -21 from 608.\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -10*l + 3. Suppose -2*g - 4 = -14. Let m(v) = -5*v + 2. Let k(b) = 1. Let x(a) = k(a) - m(a). Let t(i) = g*x(i) + 2*d(i). Determine t(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72948 and 2268?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**5 - 69491*p**4 - 45*p**3 + 1568462*p - 1 wrt p?\nAnswer: -40*p**3 - 833892*p**2 - 270*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1 + (-5 + 5 + 6)*(-4 + 0 + 3))*(10 + n - 10 + (2 + 2 - 2)*(-2*n - n + n)).\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 3*f**3\/2 + 23*f**2\/2 + 6425*f. Give x(-7).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 727349.4 decades to millennia.\nAnswer: 7273.494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(2\/(4\/3)). Let d = -1 + 6. Suppose -j + d*l = -5*j + 90, 5*l = k*j - 30. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1309*k + 14784 = 861*k for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 130 = -14. Suppose -2*h + a = 5*z, 3*z + z = 5*h + 10. Suppose 46 = d + z*t, -d - 4*t + 39 + 5 = 0. What is the remainder when d is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1441954.5 * -0.5.\nAnswer: 720977.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(75) + -1 + 5 - 2*-2*sqrt(75))**2 - ((4*sqrt(75))**2*4 + ((sqrt(75) - (-1 + sqrt(75)))*3 - sqrt(75))).\nAnswer: -2912 + 205*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -151\/1971 - -11\/73. Is s at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1))**(-18))**(6\/19) assuming n is positive.\nAnswer: n**(108\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -3 + -3 - (-4 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, k: 4, r: 1, x: 2}. Give prob of picking 1 x and 1 b.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -z**5\/10 + 11*z**4\/40 - z**3\/10 - 32*z**2. Determine v, given that o(v) = 0.\nAnswer: 1\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-12)*c*c\/((c*c**(-14))\/c)*c**(2\/3)\/((c*c**(-12))\/c) assuming c is positive.\nAnswer: c**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -150*u + 1071. List the prime factors of o(3).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/6, -5, 876, -3, -1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 3. Let q(u) = u**3 - 35*u**2 - u + 39. Let t be q(35). Let j be ((18\/15)\/(-3))\/(t\/(-230)). Solve -4*h - j = c, w*c - 6 = 4*c for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 120. Suppose -l = -s - s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -3, -4, -6, 4 in descending order.\nAnswer: 4, -3, -4, -6, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u - 6. Let p(g) = -g + 84. Give -2*o(l) - p(l).\nAnswer: 5*l - 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 + 38. Let i(w) = 5*w - 11. Let k be i(5). Solve -k = -3*n - 5*y, n = -a*n + y + 8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {s: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 315 (b) -4 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -76dab6 (base 16) in base 11?\nAnswer: -4440196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223*i - 63 = 220*i. Let m be (36\/14)\/(((-156)\/i)\/(-13)). Which is the smallest value? (a) m (b) -0.2 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**5 - 3*h**3.\nAnswer: 3*h**3*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, f: 6}. Give prob of sequence fwwf.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.4, -4\/3, 2, -10, -246, 0 in ascending order.\nAnswer: -246, -10, -4\/3, 0, 0.4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -684*j**5 - 196*j**4 + 43*j**3 + 1858*j**2 - j - 877 wrt j?\nAnswer: -41040*j**2 - 4704*j + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 138490907 to the nearest integer?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-108)\/(-8)*(-1 + 3). Let v = 54 - y. Calculate the remainder when 52 is divided by v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -339765 - -339708.9991. Let j = 0.016 + -56.016. Let z = h - j. Round z to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 127\/280 + 18\/(-42). Let y(l) be the third derivative of 0*l - 1\/6*l**4 - n*l**6 + 0*l**5 + 0*l**3 - l**2 + 0. Find the second derivative of y(r) wrt r.\nAnswer: -18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 25305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 4, g + 10 = -2*y + 7. Which is the second smallest value? (a) -1\/10 (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 11*f**2 - 6*f + 7. Let j = 25 - 31. Let t(s) = 38*s**2 + 17*s + 36*s**2 + 47*s**2 - 20 - 153*s**2. Give j*t(p) - 17*q(p).\nAnswer: 5*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -125 - -2122?\nAnswer: 1553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12\/7223 - 338761\/433380. Let k = v + 1\/30. Which is the nearest to k? (a) -1 (b) 3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 20*p = 97*p + 56*p. Solve b - 6 = 3*a, p = 2*b - 4*a + 20 - 26 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 130 and 52710.\nAnswer: 685230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 8*q**3 - 25*q**3 - 15*q**3 + 7*q**3 + 18*q**3.\nAnswer: -7*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 453\/5 - 10041\/110. Which is greater: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2144.2 - -2144. Which is the biggest value? (a) 4 (b) 0 (c) j (d) -2 (e) 85\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 6 = 6*p. Suppose 0 = -p*s - 3*w - w + 15, 3*w - 20 = -4*s. Suppose 4*x = 4, m - 3*m - s*x = -235. What is the greatest common divisor of 46 and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(896) - 1*sqrt(896))*2)\/(((sqrt(168)\/sqrt(3))\/sqrt(7))\/sqrt(4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 + 6*i. Let z(l) = 6*l**2 + 17*l. Let g(u) = 17*t(u) - 6*z(u). Let r(w) = -w**2. Calculate g(r(c)).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/165555 and 41\/90.\nAnswer: 331110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 213 (base 6) to base 13\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001115393047 rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - 5*x + 4 = 0, 3*x + 1339 = 5*g + 1342 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -266 + 452. Let c = j - -52. Suppose 0 = 3*w - 2*x - c, 2*w + 319 = 6*w - x. What is w rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.064074 - 0.012626. Let h = y - 0.0133. Let c = h - -2.96. Round c to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 15) in base 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = -4*r - 4*a, -r + a - 495 + 530 = 0. Solve -296*h = -284*h + r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 157543\/2 - 76650. Is i bigger than 2122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 - 41*b - 116*b - 252*b - 9*b.\nAnswer: 2*b**2 - 418*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 208 - 209. What is the closest to 7 in m, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16 + -56?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 13*f + 33 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 a factor of 91100439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-198)\/264*((-4)\/8)\/(6\/(-8))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**2 + 5420*i + 26975 = 0. Calculate i.\nAnswer: -1079, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - (-54)\/12) + 3 - 15\/3. What is f in 0*f**2 - h*f**3 + 0*f - 1\/6*f**4 + 0 = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1340 is divided by 336?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46193465*c**2 - 61719775*c**2 - 62558841*c**2.\nAnswer: -170472081*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1237 + 1662?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 12 = -3*c. Suppose c*d = -4*g - 20, -3*d + 5 = -0*d - g. Suppose d = -3*i + 45 + 3. Does 8 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkrrkkrkrkkrxrkxrk. Give prob of picking 3 k.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*f - 28 = 0, -2*l - 13 = 3*f - 2*f. Let i(q) = -4*q**3 - 5*q**2 + 8*q + 5. Is i(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1375\/(-50) - -26)*-25230?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 94 - 55. Suppose 0 = -c + 321 - f. Suppose 5*v - 3*y + 7*y - c = 0, 286 = 5*v + 2*y. Is 22 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-9)\/v)\/v**(2\/39)*(v\/(v\/(v*v\/(v*v**0)*v)))**(28\/9) assuming v is positive.\nAnswer: v**(-448\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 28 = -2*c - 0, -3*c + 5*b - 37 = 0. Sort -5, c, -71 in decreasing order.\nAnswer: c, -5, -71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 13369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, x: 1, c: 6, l: 3, v: 1}. Give prob of picking 1 x, 2 l, and 1 y.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -0 - 15. Let z(q) = 3*q - 3. Let x(w) = -2*w + 3. Let b(k) = 5*x(k) + 4*z(k). What is b(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.546 + 6.846. Which is greater: 0.0066 or y?\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7056 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -19. Let t(n) = -12*n - 7. Let y(k) = k + 1. Let o(g) = j*y(g) + 2*t(g). Let f(w) = 2*w**2. What is o(f(q))?\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/6 - (-40844)\/24. Let z = 2397 - s. What are the prime factors of z?\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 630078 by -2.\nAnswer: -315039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/89)\/m)\/m*m**6*m**7*m*m**(-8) assuming m is positive.\nAnswer: m**(354\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343668 is divided by 5028.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*1 + 6\/2. Suppose -3 = 3*s + 4*v, -s = -6*s - n*v. What is the remainder when 7 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7504118?\nAnswer: 2, 23, 37, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**3 - 4*c**2 - c + 1. What is r(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 (base 9) in base 10?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 - 22. Let k(v) = -c*v + 6*v + 1 + v. Let m be k(-6). Let l(a) = a**3 + 5*a**2 + 2*a + 3. Give l(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-15)\/6) + (-171)\/114.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1438*r + 1455*r = -51 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + -55. Let z be ((-4)\/((-32)\/(-12)))\/(3\/x). Let m = 18 - z. Is -17 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 80059214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - -126. Suppose -4*f + 3*w + 78 = 0, -5*f + j - 37 = -3*w. Let h = -7 + f. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52278.87 + -98.\nAnswer: -52376.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -37*n**3 - 4*n**2 + 25*n. Let o(g) = 75*g**3 + 9*g**2 - 58*g. What is -4*o(x) - 9*t(x)?\nAnswer: 33*x**3 + 7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 18 = 72. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*m**4 - 40*m - 26*m**4 + 41*m wrt m.\nAnswer: -504*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s. Let c(p) = -6*p**3 + p + 1. Suppose -3*h - 1 = 2. Let g be c(h). Let w(d) = d - g*d - d + d. Calculate w(v(t)).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 17*h - 4. Let g(f) = -51*f + 12. Let k(s) = -8*b(s) - 3*g(s). Let x(t) be the first derivative of 2*t**2 - t + 1. Determine 2*k(i) - 9*x(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222579 is divided by 10599.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.029 + 0.429. Let d = 0.3 + -0.2. Put n, d, -3\/5 in ascending order.\nAnswer: -3\/5, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/6 or 16?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*(3*(sqrt(242) - (sqrt(242) + -1)) - sqrt(242)) + 3*(1*(-1 + sqrt(242) + sqrt(242)))**2 + -2.\nAnswer: -154*sqrt(2) + 2915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**4 - d**5 - 4*d**4 + (-2*d + 3*d + 0*d)*(-3*d - d**4 + 3*d) - d**5 + d**3 + d**3 - d**5.\nAnswer: -4*d**5 + 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -11, 4 in increasing order.\nAnswer: -11, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-16))\/(((36\/84)\/(-1))\/(12\/42))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 105738.3 milligrams in nanograms?\nAnswer: 105738300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, j: 12}. What is prob of picking 3 j and 1 o?\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-1 + 2 - (-16 + 20)) - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -19. Suppose -2*a - a = j*g - 230, 5*g = 2*a - 170. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**3 - 12*j**2 + j + 53. Let l be m(-6). Let b = 331\/7 - l. Does b = 0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrvhrwwwwwwsvsvr. Give prob of picking 2 s.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*0.5638531.\nAnswer: -7.3300903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnyvnvnmyomnypmpy. What is prob of sequence vyo?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58685\/3 + -19565. Suppose 1 = -o - 4*z, 0*o - 2 = o + 3*z. Which is the fourth biggest value? (a) x (b) -0.5 (c) 5 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 2100?\nAnswer: 2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 81857.595 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 10*z**2 - 7*z - 16. Let x(n) = 2*n**2 - n - 1. Determine q(w) - 5*x(w).\nAnswer: -w**3 - 2*w - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -52*i - 40. Let y(x) = 2. Determine 40*y(q) + 2*z(q).\nAnswer: -104*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffn when four letters picked without replacement from nfyfyynnnffynf?\nAnswer: 25\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 13*i**2 - i - 5. Calculate k(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37982 is divided by 18971.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4, -k + 30 = 4*d + 2*k. Suppose -84*y + 460 = -88*y. Let j = 120 + y. Solve 0 = -2*s - 10, d*g - 35 = g + j*s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-88)\/(-2)*(-1)\/(-2). Let l be (5\/15)\/(2\/846). Suppose 4*t - 142 = 5*u, 5*t - 3*u - l - 30 = 0. What is the greatest common divisor of t and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(2\/5))**(-48)*(j*(j*j\/j**(-3\/14))\/j)\/j*j*((j\/j**21)\/j)\/j)**(3\/16) assuming j is positive.\nAnswer: j**(-10203\/1120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20.2 and -12481?\nAnswer: 252116.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8f7831 (base 16) in base 5?\nAnswer: 4401334132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 39088 to the power of 1\/2, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1273758 (base 9) to base 12\nAnswer: -298115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -648 - -644. List the prime factors of m\/10 - (-112746)\/215.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2266, 7, 0, -15, -2 in descending order.\nAnswer: 2266, 7, 0, -2, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 51 (b) 0.76 (c) -0.2 (d) 89 (e) -5\/4 (f) -0.1 (g) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47024, -47023, -47022, -47021?\nAnswer: -47020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 515 * -8\nAnswer: -4120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/8 and 113\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4dc23 (base 14) in base 9?\nAnswer: -321881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166373, 166393, 166417, 166445, 166477?\nAnswer: 166513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3325*k - 2*i - 2 = 3323*k, 3*i = 2*k + 1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*w + 410*w**2 - 91*w - 411*w**2)*(5 - 3 - 3).\nAnswer: w**2 + 120*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(1\/4))**(-4))**(-9\/4)\/(((j*j\/(j*j**2*j)*j*j)\/j)\/(j*j*j**(1\/8)))**(-1\/6) assuming j is positive.\nAnswer: j**(515\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 23.7. Let r = 0 + -0.3. Let h = r - v. Which is the nearest to h? (a) 4 (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l**(-1\/85)*l)))\/l**13)\/(l**(2\/7)*l**27) assuming l is positive.\nAnswer: l**(-23382\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 596488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.172 (b) 1\/27 (c) -1 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x - 2. Let l(k) = 37*k - 286. What is 2*l(c) - 18*s(c)?\nAnswer: 2*c - 536","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(5) + (sqrt(160)\/sqrt(4))\/sqrt(8))*5.\nAnswer: -10 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**1*c)\/(c\/(c*(c*c*(c\/(c**(-3)*c*c))\/c*c)\/c)))\/((c\/(c*c**(-4)*c))\/(c*c\/c**(-3))))**(2\/15) assuming c is positive.\nAnswer: c**(14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2282193?\nAnswer: 3, 61, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8060323 is divided by 975.\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d. Let u = 47810 + -25350. Let q(w) = -47*w + 22460 - u. Give q(f(x)).\nAnswer: -141*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -23*v - 2. Suppose -4*i + 187*j = 184*j - 2, 8 = 4*j. Let g(y) = -2575*y - 225. What is i*g(c) - 225*r(c)?\nAnswer: 25*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3036 and 220?\nAnswer: 15180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48986 is divided by 1884.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 357 and 10.\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16085942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -18734482.66 + -2.65\nAnswer: -18734485.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1500 and 3255025?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22204 - -8347. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 3*n + 3*y, -2*n + 4*y + 8 = -0*n. Suppose 6*t = -3*k + 5*t + 2671, n = -2*t. List the prime factors of k.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 2 + (-6 - -9 - (3 - 7))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - 26. Suppose 0 = -l*k - 4*n + 2*n + 34, -55 = -5*k - 3*n. Let g(t) = -t**3 + 8*t**2 + 3. Calculate g(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3c + 16ada?\nAnswer: 16b38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 22*l**2 + 21*l + 6. Let z be a(-21). Suppose z*r + 6*r = 9*r. What is the fourth smallest value in r, 0.4, -0.1, -0.19?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8193059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7256 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z*z**(-1\/7))\/z)\/z)\/(z**(2\/5)\/z)*z**6*z**(-3) assuming z is positive.\nAnswer: z**(121\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/415 or -615?\nAnswer: -8\/415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22 + 31*w**4 + 18*w**4 - 14 + 59 wrt w?\nAnswer: 196*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 + -18 + 326661 - -3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 12:01 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 7*r**5\/60 + 7*r**4\/24 + 3*r**3\/2 - 38*r**2. What is the tens digit of q(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + 4*l, 4*t - 9*l + 10 = 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17445*j**3 - 675*j**2 + 38*j + 2 wrt j.\nAnswer: -104670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j = -7*j - 476. What is the greatest common factor of 364 and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 12 - 5 + o + 23*o**2 - 6 + 0*o. What is the remainder when 68 is divided by r(-1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, k: 11, s: 1, f: 4}. Give prob of sequence fs.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 81 - 79. Solve 19 = u*y - 5*v, 0*v + 4 = -3*y + v for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24623 is divided by 2518.\nAnswer: 1961","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30951 < 30951?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ks when two letters picked without replacement from kkurukyskkkrr.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*m**3*n*z**3 - 1728*m**3*n*z - 3*m*n*z**3 + m*n*z**2 - 5177*m*n*z + m*z + 2*n*z**3 wrt m.\nAnswer: -30*m*n*z**3 - 10368*m*n*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*y - 12. Do y and -13\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*q**2 - 167*q**2 - 2227 + 271*q**2 + 287*q**2 + 2227.\nAnswer: 446*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176350962.\nAnswer: 2, 3, 17, 1109, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**0*z\/(z\/(z\/(z**(-2)\/z)))*(z**(-2\/9))**(8\/13) assuming z is positive.\nAnswer: z**(452\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 4. Let b be 2 + -34*(-2)\/4. Suppose -f*j + 4 = 2*g - 0, 5*g = -j + b. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 (base 10) in base 9?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1135*u**2 + 375*u**2 + 376*u**2 + 379*u**2.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 15 = 5*g, -15 = 3*t - 0*t for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -22.916 and -5.\nAnswer: -27.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 17 = 3*l, g + 2*l + 2 = -g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -25*s**5 - 210*s**4 - 480*s**3 - 160*s**2 = 0?\nAnswer: -4, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (1 + 1 + -3 + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -794 - -815. Solve 9 = -3*x + 4*d, -x + 25*d - 11 = r*d for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**6\/3 - 205*v**4\/4 - v**3\/3 - 115*v**2\/2 + 1172. What is the third derivative of w(q) wrt q?\nAnswer: -120*q**2 - 1230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2. Let j(z) = -21*z**2 - 15*z. Let g(d) = 3*d**2 + 2*d. Let w(m) = 15*g(m) + 2*j(m). Calculate w(h(a)).\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(19))**2*-5 - (3 + sqrt(2299) + sqrt(19)))*-6.\nAnswer: 132*sqrt(19) + 618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-176))\/((-31)\/(-8866))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 159104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 4:30 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k + 1. Let i be p(1). Determine d so that 4*d + 6 - 3*d**2 - 2 + i*d**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n. Let i(t) = -83*t**2 + t + 6. Let f(v) = -168*v**2 + v + 11. Let y(j) = -6*f(j) + 11*i(j). What is x(y(h))?\nAnswer: 190*h**2 + 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120 (base 3) to base 4.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 80027099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 85.47043km?\nAnswer: 8547043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -39 + 4?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*n + 637*n = 60*n + 8244 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4\/11 - -6\/77. Let b = 3 + -3.1. What is the nearest to y in -1, b, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t - 3*t**2 + 2 + 2*t - 292*t**3 + 260*t**3. List the prime factors of u(-2).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/455)\/(144\/336).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 44 = 12. Let g be 4*4\/x + 2. Put -2, g, 3 in increasing order.\nAnswer: -2, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + (-2 + 10 - (5 - -5))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - s - 1 + 0*s)*(0*s - 5*s - 2*s + 4*s - s - s - 4*s + s + s + (2 - 2 - 1)*(3*s - s - s) + 632 - 60*s - 632).\nAnswer: 68*s**2 - 68*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(72\/(-27))*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 24*a**2 + a - 32. Is c(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 606378758 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a second in milliseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19279, 19260, 19239, 19216, 19191, 19164, 19135?\n\"Answer: -u**2 - 16*u + 19296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/344*(-80)\/70)\/(-1)\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1.08, -0.4, -6 in descending order.\nAnswer: 1.08, -0.4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 1:42 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from bffbbfrbpdr?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 308 and 660.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u - 4. Suppose -o - 1 = m, -3*m - 4*o = 7 - 4. Let f = m + 3. Let j(p) = -13*p - 17. Give f*j(q) - 9*g(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32\/70 + 0 + (-40)\/(-100). Factor -2\/7*t**2 - p + 8\/7*t.\nAnswer: -2*(t - 3)*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-150)\/(-525))\/((-4)\/(-42)). Suppose -v*a = -5*o - 0*o + 41, -5*o + 5*a + 35 = 0. Does o = 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1876 and 6192858.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 79 - 59. What is the remainder when 39 is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 e, and 2 k when four letters picked without replacement from {t: 1, k: 5, e: 2, x: 1}?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -840.938949 rounded to the nearest integer?\nAnswer: -841","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69804.75l to millilitres.\nAnswer: 69804750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -4)*(-116 - -115). Let z(d) = d + 1. Let p be z(-6). Sort p, k, 2, -18 in decreasing order.\nAnswer: 2, k, p, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-117)\/52*(-8)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 7:56 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 16. Let y(o) = u - 1 - 5*o - o**2 - 1. Calculate y(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31080 equal to -24239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -6*z + 7. Let b(o) = -19*o + 4. Let x(t) = -3*t - 1. Let i(s) = -b(s) + 4*x(s). Suppose 10*f - 5*f = -20. What is f*i(q) - 5*y(q)?\nAnswer: 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289 = 3*z - 4*h, 4*h + 314 = 5*z - 157. Let o = -76656 + 76721. Calculate the greatest common factor of z and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4226 - -10423. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qbo when three letters picked without replacement from qqbqbxqoqqbqoqqbxoo.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/70 + 17\/14. Let a(r) = -r**3 + 7*r**2 - 7*r + 8. Let p be a(6). Which is smaller: o or p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15696109 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*b + 3060655 - 3061945 for b.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 x when three letters picked without replacement from xxxzxxxaaxaxazxxaxx?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23333932 and 582?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 8*q + 3. Let f(u) = -11*u - 2. Let o(g) = -5*f(g) - 4*v(g). Determine o(-4).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19635, -19636, -19637, -19638, -19639, -19640?\nAnswer: -19641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 x, and 1 v when four letters picked without replacement from {v: 9, j: 8, x: 2}?\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = q + m, m + 5 = 7. Suppose v = -2*p + 33 + q, -4*p + 407 = -v. Suppose 0*t - 3*t - 5*l + p = 0, -5*t = -3*l - 204. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q - 65 = 5*w + 20*q, -q - 25 = 4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -50772 take away -244773?\nAnswer: 194001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -647 + 1352. What is the hundreds digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1003 - -90. Let n = 1080.78 - o. Let y = n + 12. What is y rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10594992351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**3\/4 + 47*v**2\/2 + 23739*v\/4 - 18009 = 0. Calculate v.\nAnswer: -116, 3, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12445 + 12495. Solve -l*u + 270 = 4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 22399 = 5*f - 106225, 51465 = 2*f - s. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1518*-55333.\nAnswer: 83995494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13.39281 years?\nAnswer: 160.71372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -g**3\/2 + g**2\/2 + 128*g. What is t(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 6*r**2 - 7*r - 7. Suppose 3*c + 25 = -2*c. Let v be i(c). Suppose -v*a = -0*a - 57. Calculate the remainder when 54 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5 - 50 = 0. Suppose 3*n - 5*s - u = 0, -n - s = 3*s + 2. Solve 5*g - 6*k + 35 = -3*k, 5*g + n*k + 10 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 50.5, -1, -15, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b**3 - 4*b**2 - b + 2. Let i(h) = -h**3 + h**2 - 1. Let k(m) = -4*i(m) - o(m). Let f be k(2). Is f less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.2 * 546.5845.\nAnswer: 1202.4859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, p: 4}. What is prob of picking 3 p and 1 u?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2202.426 litres in millilitres?\nAnswer: 2202426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5*t - 11 = 0, 5*g - 27 = -0*t + 3*t. Let s(x) = -5*x**2 + 5 + 9*x**2 - 5*x**2 + g*x. What is s(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 10:03 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -396*s**3 - 768?\nAnswer: -1188*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -183, -166, -163, -180, -223?\n\"Answer: -p**3 - p**2 + 27*p - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 30. Sort 4, 3, n.\nAnswer: n, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.26 + -0.51. Let i = q - 0.05. What is the nearest to 0.1 in 3\/11, 2, i?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 + 33 - 4*w**3 + 48 - 162 + 45.\nAnswer: -4*w**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1971*w + 1969*w + 4*i - 6, 6*i + 33 = -3*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -o + 3*q - 11, q - 8 = 4*o. Let v = -632 + 1552. Suppose -v*u + 926*u = -24. Which is the nearest to o? (a) -3 (b) u (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p - 10*p + 6*p**2.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - -26.718.\nAnswer: 45.718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(468) + sqrt(13) + (2*sqrt(13) + -2)**2 + sqrt(117)\/(sqrt(729) + (sqrt(729) - sqrt(729)*-1) + sqrt(729)).\nAnswer: -467*sqrt(13)\/36 + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5012.\nAnswer: 2, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**2*o**2 - f**2*o - 2933*f**2 + 3*f*o**2 + 19*o**2 + 4*o + 1 wrt f?\nAnswer: -4*o**2 - 2*o - 5866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -7012*l - 77134. Give t(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46 - -32. Is (-52)\/i + (-8)\/(-28) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1310 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 8*q**2 - 11*q - 4. Determine y(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*((-1032)\/16 - 4). Suppose 4 = -k, b = -4*l + 2*k + 1355. List the prime factors of l.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 514674 and 5.\nAnswer: 2573370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1476 - -1165174\nAnswer: 1163698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -3)\/(13 - (-7 - -18)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y - 2*y - 6*y + 18*y - 2*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11815 - 11811. Solve 4*l - 32 = 3*a, -5*l + 9 = b*a - 0*a for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 60 - 3?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, -7\/13, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5 + 7 = 2*f, -5*f - o = -3. Suppose -3*k + 3*w + 4 = -11, 3*k = 4*w + 20. Solve k*g = -g + f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51)\/(16*(-48)\/(-512)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 2*b + 14, -23 = -o - o - 3*b. Suppose o*w + 40 = 12*w. Suppose -w*i - u = -i - 751, 4*i - 5*u - 733 = 0. What are the prime factors of i?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*z + 169*z = -11*h + 53, -4*h = 3*z - 17 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*p - 1249 = 0, 2*j + p - 511 = -2*p. Let z = 436 - j. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4863 divided by -1621.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -8*(-33)\/(-24) + 85\/8\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c = -c - 5369. List the prime factors of c.\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 383a087 + -6?\nAnswer: 383a081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22.2 + 18. Let o = 3.4 + 0.6. Let k = t + o. Which is the closest to -1? (a) -3\/8 (b) 3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*i**2 + 33*i**2 - 12*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 92 - 107. Is ((-10)\/a)\/(((-4)\/3117)\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 224 + -173. Let m be (-3)\/(36\/5) + j\/68. Which is the biggest value? (a) 1\/4 (b) -2\/59 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/30, 2\/7, -5, 1\/2.\nAnswer: -5, 1\/30, 2\/7, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*i**3 + 56*i**3 - 27*i**3.\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1329, -10758, -36399, -86358, -168741, -291654?\n\"Answer: -1351*m**3 + 28*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 35*m + 332. Calculate the remainder when 829 is divided by n(20).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136180 and 2476?\nAnswer: 136180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 7*p + 11. Let b be i(10). Let w be (-3)\/((-3)\/4) + 434\/31. Calculate the greatest common divisor of w and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*o - 3*o**2 + 54*o - 30*o.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22\/7 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*(-3)\/(-66) + (-4271339)\/(-451). Suppose -20*f - m = -41*f. List the prime factors of f.\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4138?\nAnswer: 2, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 24*g**3 - 10*g**2 + 10*g + 10. Let z(m) be the second derivative of m**5\/20 - m**4\/12 + m**3\/6 + m**2\/2 + 532*m. Calculate -s(r) + 10*z(r).\nAnswer: -14*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f - 7. Let l be m(7). Suppose l = -d - 5*j + 31, 3*d - 7*d - 5*j = -79. Calculate the lowest common multiple of d and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83730 (base 9) in base 7?\nAnswer: -320064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/11697 + -1415377\/233940. Calculate the common denominator of m and -23\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32290 divided by 5.\nAnswer: 6458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - -7. Let h be (1\/(-5))\/(80\/(-1200)). Solve 0 = -5*n, 5*n - g = -p - h*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 3, 50, 0, -1125 in decreasing order.\nAnswer: 50, 3, 0, -1, -5, -1125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 330 + -330 + 4 + -1 - (7 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2116308964?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-2*-3*(((sqrt(119) + 2*sqrt(119))\/sqrt(7))**2 + 0 + sqrt(17) + -2).\nAnswer: -906 - 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d**4 - 12628351*d**3 + 16601742 wrt d?\nAnswer: -8*d**3 - 37885053*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-8200)\/(-250) + -35 + (-2)\/10*-116\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-940)\/70 - ((-2)\/(-3))\/(28\/(-18)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -9, -31, 4, -176.\nAnswer: -176, -31, -9, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -103311420?\nAnswer: 103311423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by -116*(-1)\/4 + 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 3*l - 22 = -i, 0 = 3*l - 2*i + 19 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100220100010 + -1110?\nAnswer: -100220101120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30831 - 30824. Solve 5*z = -3*h + z, -x*z - 17 = h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**2 - 14992*r + 104993 = 0. Calculate r.\nAnswer: -14999, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 266 - 254. What is the remainder when 124 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -5*w**3 + 2*w**2 + 2*w + 1. Let q = -26 + 25. Let z be u(q). Let p(i) = -i**3 + 6*i**2 + 2*i - 7. What is the smallest common multiple of p(z) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*l - 234 = 182*o + 35*l - 40, -3*l = -o + 8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 less than 2.623162?\nAnswer: 2.593162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1536 - 1535.9. What is the nearest to l in 12, 4\/5, 2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*r - 11*r - 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 7549.323 to the nearest 100.\nAnswer: 7500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35 and -2 - (6 + (-27 - 6)).\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 7*f + 9. Let k be i(-6). Solve -3*j = -k - 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*s + 22*s = 384. Calculate the smallest common multiple of 56 and s.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*-1 - (-13 - 2). Let z = -11 + g. Suppose -2*q - 6*k + 189 = -k, 0 = z*k - 6. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3101 in 3, -3, -10.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 7:43 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*p + 57*p - 89*p)*(p + 4*p - 4*p)*(3*p - p - 3*p).\nAnswer: 68*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -173*k + 5656 - 5*k**2 - 5663 + 174*k + 0*k**2 + 7*k**3 in the form w*k**2 + q + x*k + m*k**3 and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**3 - 5*j**2 + 3*j + 1. What is t(5)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-2)*32\/(-40)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**3 + v**3 + 4*v**3 + (2*v - 2*v - v**2)*(6*v - 7*v + 7*v) + (-3*v - 22 + 22)*(-v**2 - v + v) - 1 + 1 + 3*v**3)*(-2 - v**2 + 0*v**2 + 3*v**2).\nAnswer: 4*v**5 - 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 5:21 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**3 - 6*l**3 + 0*l**3)*(715 - 715 + 295*l)*(-1 + 0 + 3).\nAnswer: -1770*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 320?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 12*h**3 - 3*h**2 - 3*h. Let t be j(-3). Let q be (-12)\/(-20) + t\/(-5). Suppose 0 = -4*w + 51 + q. Does 22 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 82401392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6791?\nAnswer: 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -6*h**2 + 4 - 2*h**3 + 5*h**3 - 2418*h + 2389*h - 22*h**2 - 2*h**3. Let k be w(29). Calculate the greatest common divisor of 7 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.443 - -3.557. Which is the second biggest value? (a) 6 (b) 218 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -771 + 773. Let s(n) be the second derivative of -2*n**j + 3*n + 0 + 1\/4*n**4 + 0*n**3 + 1\/20*n**5. Factor s(m).\nAnswer: (m - 1)*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -1. Suppose -w = x - 3, -5*w + 8*x + 3 + 12 = 0. Solve -o*d + 25 = -3*n, -12 = -w*d + 3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0032410475 to 5 decimal places.\nAnswer: 0.00324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t - t + 3*t + (5*t - 3*t - 3*t)*(0 - 2 + 3) + 4*t + 0*t + 0*t + (0 + 1 - 5)*(t + t + 0*t).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 49 = a, 3*a + 51 = 2*d + 34. Solve -5*z + 7 = -4*m, -z = 4*m - 1 - d for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 7*y**3 - 4*y**2 - 15*y. Let l(b) = -b**3 - b**2 + 19*b. Let k(m) = m**2 - 10*m. Let h(c) = -5*k(c) - 3*l(c). What is -9*h(a) + 4*o(a)?\nAnswer: a**3 + 2*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4508011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1638.4 - 1642.4. Let y = -0.6 + 0.4. Put 2\/55, y, k, -2\/11 in increasing order.\nAnswer: k, y, -2\/11, 2\/55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2999479.2 months to millennia.\nAnswer: 249.9566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p**3 - 5*p**2 + 4*p - 4. Let y(g) = g**3 + g**2 - g + 1. Let l(r) = -2*c(r) - 9*y(r). Let w be l(-2). Solve -1 = -5*f + w for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 693756945.\nAnswer: 3, 5, 7, 6421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.061 + -0.521. Let d = 0.36 + x. Let m be -1 + ((-28)\/(-12) - 1). Put 0.24, m, d in descending order.\nAnswer: m, 0.24, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13628328, -13628329, -13628330, -13628331?\n\"Answer: -q - 13628327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/5)\/(g*g**(9\/4)\/g) assuming g is positive.\nAnswer: g**(-49\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/(97\/1358).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193851 is divided by 1015?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 20 = 6*h. Suppose -107 = -4*s - j, 0 = h*s + 2*j - 94 - 39. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-284)\/(-10) + (-48)\/95 + 36\/342. Solve i*g = -10*g + 9*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 4. Suppose -3*w + 16 = -v*w + 4*k, 5*w + 3*k = -5. Which is the biggest value? (a) 1 (b) -0.2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 5*q**4\/3 + 320*q**3\/3 + 2560*q**2 + 81920*q\/3 + 327680\/3 = 0.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 58504.17 years?\nAnswer: 702050.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 3)*(-4*r**4 + 2306*r + 2402*r - 4618*r) - 2*r**4 + 0*r**2 + 0*r**2 in the form y*r**2 + k*r**3 + a*r + n*r**4 + d and give a.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/56 and -19\/74.\nAnswer: 2072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f + 68*z - 1039 = 9*f + 258, f - 3*z + 77 = 5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -0.1 (b) 12536\/11 (c) -0.5 (d) -5\/4 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.32 + -16. Let m = f - 0.15. What is m rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 7. Let o = -11 - v. Let f = o - -8.00014. What is f rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*j - 31*j = -246 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*c = 9*c + 1621528 + 853208. What is the thousands digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3531289243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 6*h**2 + h - 5. Calculate q(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.88 + -0.12. Put 102\/11, 1, w in ascending order.\nAnswer: w, 1, 102\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2619 - -2663. Solve 50*t + 6 = k*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -5*u + 62. Suppose 2*j + 16 = -0*k + 5*k, 0 = -k - 3*j - 7. Let h be 0\/(-4 + k) + 28. Is u <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5*2\/4)\/((-19)\/(-3002)). Let a = l - 389. Solve -4*w + 10 = a for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 6928*u + 1. Let b(q) = -3*q. What is b(f(w))?\nAnswer: -3*w**2 - 20784*w - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 3:15 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2409 - -5617. Suppose v - 912 = 4*q. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 9429840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 8*o**3 + 507*o**2 - 534*o - 1057. Let b(w) = -15*w**3 - 1020*w**2 + 1070*w + 2115. Let m(l) = 3*b(l) + 5*n(l). Suppose m(k) = 0. What is k?\nAnswer: -106, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 13*d**5\/60 - d**4\/8 + d**3\/3 + 3*d**2 + 5*d. Find the second derivative of i(r) wrt r.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051066423 a multiple of 1017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91 (base 13) to base 2.\nAnswer: 1110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 14 = -6. Let t(y) = -y - 4. Let v be t(o). Let q = 4 - v. Solve r + 5*n = -0*n - 8, -5*r - 3*n + q = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -12*b - b**2 - 11*b - 76 + 0*b**2. Let o be f(-19). What is the nearest to 0.2 in o, -0.5, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**2 - 5*b**3 + 0*b**3 + 4*b**3 + (2 - 2 + 11*b)*(34*b**2 + 641 - 641).\nAnswer: 373*b**3 + 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/(n*n**(1\/5))))\/n*n*n**(-3\/4))\/(n**(1\/2))**(-24\/11))**(-44) assuming n is positive.\nAnswer: n**(-339\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*h + 1. Suppose 0 = 3*l - 4*t - 55, 0 = h*l + 5*t - 4 - 2. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 22161581.\nAnswer: 5\/22161581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11721 - -2?\nAnswer: -1171c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*r - m = -29*r - 5, -5*m + 15 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 4*t + 1 - 21, -5*f = -4*t + 20. Suppose 2*n - 4*v - 4 = -0*v, 4*v = f. Solve n*l = 6*l - 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52741?\nAnswer: 13, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, g: 4, d: 5, c: 4, x: 1}. What is prob of picking 2 g?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(99) + -1))**2 + -1 + (sqrt(99)*2)**2 + 4 + -5 + -5.\nAnswer: -216*sqrt(11) + 3989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 180 + -20. Suppose -l + 3*g = -2*l + 80, 2*l - x = 5*g. What is the greatest common divisor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -3.9, 5, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 133212 rounded to the nearest one thousand?\nAnswer: 133000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*w + 1 = 0. Let v(m) = -m**3 - 6*m**2 + 8*m + 10. Let z be v(-7). Let k = w + z. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3640 and 500?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*w + 5 = -30*w. Suppose -5*n + 3938 = -3*t, -n - n = -w*t - 1579. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 6 = -o + 8*c, 4*o - c = 6. Let x(q) = 8*q**2 + 14*q**o - 10*q**2. Let a(s) = 2*s. Determine x(a(u)).\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102454940.\nAnswer: 2, 5, 7, 731821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g - 3*g + g)*(2 + 2 - 2) + (-4 + 3 - 1)*(21 + 10*g - 21) as f*g + k and give f.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 96 = -11*p. Let n(v) = -v**3 - 16*v**2 - 3*v - 11. Let r be n(p). Let g = r + 837. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -7*b**3 - 3*b**2 + 3. Let m(p) be the second derivative of 7*p**5\/20 + p**4\/6 - p**2 + 62*p. What is 3*m(k) + 2*s(k)?\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 6*w + 4. Give y(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-577)\/5770 - ((-543)\/180 + 3).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 256*i**2*q + 1394*i**2 - 7*i*q - 8*q + 2475 with respect to q.\nAnswer: 256*i**2 - 7*i - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151515 divided by 5.\nAnswer: -30303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2. Let v(h) = 557*h**2 + 4*h - 2. Let s(j) = -153734*j**2 - 1106*j + 553. Let w(d) = -2*s(d) - 553*v(d). What is w(g(o))?\nAnswer: -2212*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -7*k + 3*k + 5*k + k. Let d be (-1)\/((0 - 1)*1). Let l(v) = -v + 1 - d. What is f(l(i))?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 4*t + 1. Let j be i(2). Suppose 5 = -3*r - 10. Sort r, j, 4 in descending order.\nAnswer: j, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*l**3 - 5*l**3 - l**3 - 17*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ror when three letters picked without replacement from rooorrorroorrrooooor?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6236*l*w - 3*l + w - 3074 wrt w.\nAnswer: -6236*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -850718 or -850715?\nAnswer: -850718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1703754 a multiple of 702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4385540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6822020.\nAnswer: 2, 5, 347, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 439331*a**3*c**3*o + 3*a**3*c**3 - 3*a**3*c**2 - 66*a*c**2 - 2*c**3 - 103*c wrt o.\nAnswer: 439331*a**3*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/12 and 99\/48 - 2\/4.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 12525823169889?\nAnswer: -12525823169891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1401175 is divided by 460?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1401*i = v - 1403*i - 4, -16 = -v - 4*i for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.454 - 0.054. Let d = q + -6. Let r = -0.08 - -0.08. What is the nearest to r in 3, -2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 2*p**2 + 2*p. Let n be i(3). Suppose 7*t - 4*t = n. Solve 4*m = 5*m + t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 42358*o**2 + 2*o + 14923 wrt o.\nAnswer: 84716*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -5*z - 7, -2*z - 10 + 2 = 3*u. Let h be (9\/(-6))\/(-1 + z). Let a be (6\/8)\/((-7)\/4). What is the closest to h in 4, a, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/72 and -149\/144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -30 + 19a54?\nAnswer: 19a24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**2 + r**3 - r**4 + 391 + 6*r - 389 + 2*r**4 to the form s*r**4 + n*r**2 + v + d*r + o*r**3 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 4*k**2 + 4*k**2)*(-47*k - 2 - 49*k + 2 - 13*k).\nAnswer: -763*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -2*c + 8. Let n = 49 + -41. Suppose -4*v + n = 0, -c*v = 6*u - u - 293. Does 25 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-50)\/4*60\/(-25). Calculate the greatest common factor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54181475 is divided by 668907?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 7*i + 3. Let l(q) = 565*q - 19. Let o(t) = -l(t) - 6*s(t). Let m(b) = -b**2. What is o(m(h))?\nAnswer: 607*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 9 + 4*g + 2.\nAnswer: 4*g - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*k - 33*k - 35*k as f*k + o and give f.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-16))\/((-280)\/320)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26730\/360)\/297*-3*2\/(-2).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 5 + 5. What is the second derivative of 5*q**2 - q**3 + 6*q - j*q - 5*q**2 wrt q?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -t**2 + 5*t - 8. Determine y(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18622*s**2 + 20028 with respect to s.\nAnswer: -37244*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 9861881.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6 * -24.1787\nAnswer: 145.0722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14287*l - 10*l - 501*l + 3144*l.\nAnswer: 16920*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvlwvvwllvvvw. What is prob of sequence wl?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-1))\/(32\/2 - 8). Which is the nearest to 1? (a) 125 (b) 0 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 308580.807 to the nearest one thousand.\nAnswer: 309000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -9*h + 31. Let f be r(-11). Suppose 0 = -f*m + 134*m. Solve -4*l + 7 = 2*n - 3, m = 2*l + 4*n - 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1970302416.\nAnswer: 2, 3, 47, 433, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4 + 60*w**3 - 187*w**2 + 126*w.\nAnswer: w*(w - 2)*(w - 1)*(w + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 31760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 154*t + 116. Determine x(-2).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 837 + -845. Which is the closest to s? (a) 0 (b) -0.1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -361*q - 74*q = 159*q - 20974 - 15854 for q.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -246 divided by -41\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 4*p**2 - 4*p + 3. Let g be h(2). Solve -5*r - 4*s - 12 = 0, -2*s - 9 = -g*r + s for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -5, -19, 804, -4 in increasing order.\nAnswer: -19, -5, -4, 18, 804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000026046 to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.1 + -5.1. What is the fourth biggest value in -0.3, l, 1\/6, -4\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-8)*(65\/(-15) + 210\/63)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m - 9. Let d be h(12). Let o(f) = f + f**3 + 8 + d*f**2 - 2*f**2 - f**2 + 6*f**2. Let j be o(-6). Solve -2*c + j + 0 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 122 = 82. Suppose -x = -f - w, 8 = -5*x + 4*f + 46. Calculate the remainder when 46 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -376756, -376864, -377050, -377308, -377632, -378016?\nAnswer: -378454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7*-1808.23\nAnswer: 12657.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2, 0.169, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -188, -182, -176, -170?\n\"Answer: 6*m - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 337.05*10872.\nAnswer: 3664407.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axax when four letters picked without replacement from {a: 11, x: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 3*y + 5. Let l be j(7). Let q = -41 - l. 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: How many minutes are there between 6:07 AM and 9:11 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, -20, -93, -196, -329, -492, -685?\nAnswer: -908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 10*h + 17. List the prime factors of w(7).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/7 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.87 less than 1?\nAnswer: -3.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/15982 and -9\/11.\nAnswer: 175802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 13878315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 12) in base 15?\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 11*v - 12. Let d be f(-12). Suppose d = 5*z - 62 - 188. Suppose 2*k + 4*r = 128, -2*k + z = 2*r - 80. Is k a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 12) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-22))\/(q*q**5)*(q**(-3\/7))**(-1\/10) assuming q is positive.\nAnswer: q**(-1887\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-20)*(-36)\/630*-20.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 13 = 5*v, 4*v + 0*j - 17 = j for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/1336 and 89\/7136?\nAnswer: 1191712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 364, 359, 344, 313, 260, 179, 64, -91?\n\"Answer: -h**3 + h**2 - h + 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9563\/3 - -3189. Let j = 16 + -97\/6. Which is the closest to j? (a) 2 (b) 0.5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 3*o**2 + 3*o - 6. Let a(n) = 2*n**2 - 3*n + 2. Let l be a(2). Let s be (10\/6)\/(11\/(-3) + 4). Suppose 9*t = k + s*t, -4 = -l*t. Give m(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 20.7, -3.95, 45 in descending order.\nAnswer: 45, 20.7, -1\/3, -3.95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 16*b + 29. Give r(18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.58775 times -39?\nAnswer: 22.92225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/4 - 57\/(-5). Let j = 43\/5 + o. Calculate the common denominator of j and (-3)\/(6\/20 - (-3 + 3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**1*o))**(8\/7))**(-2\/65) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dqad when four letters picked without replacement from {d: 2, i: 3, s: 4, q: 1, a: 1}?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 22708 - 33\nAnswer: 22675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 3*x = 111, 3107746*x + 38 = -2*z + 3107748*x for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j + 8. Let h be x(-6). What is the lowest common multiple of (-1)\/(3\/3)*h and (4\/(-6))\/(1\/(-3))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + 50 - 25 + 15 + (-4 + 0 + 3)*(-w - 3*w + w) - 4*w - 13*w - w.\nAnswer: -17*w + 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 + 59. Let m = 70 - o. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -3675*q**5 + 127995*q**4 + 22023*q**3 + 945*q**2 = 0.\nAnswer: -3\/35, 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/2)\/(-1)*16\/(-12). Let p(o) be the first derivative of 0*o + 3\/2*o**c - 5. Let j(w) = -2*w**2. Determine p(j(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156\/520*-50 + 5721\/381.\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - 5*n + 2*n**2)*(-3*n**3 + 4*n**3 + 2*n**3) + 3*n**5 - 5*n**2 + 5*n**2.\nAnswer: 9*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18125*m**3 + 1893*m**2 + 5*m wrt m?\nAnswer: 108750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.09242329 times -0.5\nAnswer: 0.046211645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 + -6.5. Let r = 43 + v. Let t = 2 - 1. What is the closest to 2\/5 in r, t, -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2021 (base 15) to base 2.\nAnswer: -1101001111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165129 and 6669.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2539012 is divided by 2583?\nAnswer: 2506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 12:45 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 52594 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 493 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 - -46. Let h(u) be the second derivative of u**2 + 0 + 1\/20*u**5 + 12*u - 1\/6*u**3 - 1\/12*u**4. Calculate h(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/4)\/(-2 - -8). Let v(l) = 62*l - 65. Let k be v(1). Which is the third smallest value? (a) k (b) g (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1206 and 14598.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201010003121 + -132?\nAnswer: 201010002323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -6\/5 (c) -1.1 (d) -0.1841 (e) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -12. Suppose 4*p = 7*p + 18. Let g(k) = -k**2 - 7*k - 3. Let h be g(p). Solve h*m - 4 = l for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -333 divided by 3669?\nAnswer: -111\/1223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2664353 + 14?\nAnswer: -2664336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43 and 11.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 6. Suppose 3*s + 1 = n, -3*s + k = -0. Suppose 4*m + d - 65 = -4*d, -65 = -5*m - 3*d. Calculate the remainder when m is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111383711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25494383?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*n**2 + 156*n**2 + 369*n**2 + 109*n**2 in the form v + p*n + z*n**2 and give z.\nAnswer: 622","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*a - 2*m, 4*a - 4*m = -9 - 3. Suppose -d - 2 = -4*v + 12, 0 = -a*d + v. Let g(b) = -21*b**d - 557*b + 557*b. Let y(i) = i**2. Give g(y(w)).\nAnswer: -21*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000014585 rounded to seven dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102433232 divided by -2846.\nAnswer: 35992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3*-0.60541\nAnswer: 1.81623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4*u + 535. What are the prime factors of r(0)?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9197236272307 and 5.\nAnswer: -9197236272302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -39018*h**2 + 78068*h**2 - 10*h - 17 - 39051*h**2. Let j = 17 + -24. What is w(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*d - 5*t, -5*t = 7*d - 6*d - 25. Solve 5*x + d = x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 595685?\nAnswer: 5, 109, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -3, -68?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1150795, -1150944, -1151347, -1152130, -1153419, -1155340?\nAnswer: -1158019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 62 = 13*z, 4*z - 63597 = 6*z - 6*z - 2*f - 63571 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 - 30 = 5*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 281.19 * 7.\nAnswer: 1968.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((2*sqrt(204)*6 - sqrt(204)) + 3*sqrt(204)*-2)\/((-3*sqrt(132)*-2)\/(sqrt(55)\/(2*sqrt(5)) - sqrt(11))))**2.\nAnswer: 25*sqrt(17)\/6 + 4025\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1957 (base 15) in base 7?\nAnswer: -21661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 111720.5 and 4.\nAnswer: 446882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**4 - 129*n + 313*n - 337*n + n - 2*n**4 - n + (2 - 2 - n)*(n**3 - n + n) - n**4 + 3*n**4 - n**4 + 0*n**4 + n**4 - 2*n**4.\nAnswer: -5*n**4 - 153*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-9) - (-10)\/45. Suppose z + 4*z + 18 = -o, d = -3*o + 4*z + 41. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m = 3*m - 123147. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 23. What is the highest common divisor of l and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51933043567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -204 + 414. Let w be 42\/d + 14\/5. Solve -4*n - w - 13 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 358312371901 and 0.05.\nAnswer: 358312371901.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dmqmd. What is prob of sequence mqdd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3990000 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**2 + 123505960*v - 762686107776080 = 0. Calculate v.\nAnswer: 12350596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 5*h**6\/2 - 5*h**2 + 7. Find the second derivative of s(t) wrt t.\nAnswer: 300*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 4*h**3\/3 - 5. Let o(n) = -n**2. Give o(j(v)).\nAnswer: -16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k**3 - 3*k + 3*k)*(-4*k - 2*k + 4*k) to o*k + w*k**4 + q*k**2 + g*k**3 + y and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 132 and 131 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 129 and 1589871?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 9725 = 5*w, -3*w + 3462 = 4*y - 2338. Suppose 3*q - w = 7*q. Let n = q + 808. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 + 2312*j - 2. Let d(g) = 3*g**2 + 5*g - 90. Let b(r) = 2*r**2 + 4*r - 72. Let y(l) = -5*b(l) + 4*d(l). Give c(y(w)).\nAnswer: 8*w**4 + 4624*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*r**2 - 6*r + 18*r**2 + 26*r + 2 to t*r + u + s*r**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 982111.6 centimeters?\nAnswer: 9821116000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w + 1. Let l be s(3). Suppose 6*y - l*y = -32. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6081893, -6081890, -6081885, -6081878, -6081869?\nAnswer: -6081858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17983 = -3033*n + 3400*n for n.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (sqrt(17) - (sqrt(17) + sqrt(425)) - sqrt(17))*-4)**2 + sqrt(1377)*-3.\nAnswer: -27*sqrt(17) + 10625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 342881 divided by 1.\nAnswer: 342881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2864, 2863, 2860, 2855, 2848, 2839, 2828?\nAnswer: 2815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 6*f + 9 = 0. Is 5907 + -7 - (-4 + f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 239006423 + 16.\nAnswer: 239006439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3955764, 3955834, 3955950, 3956112, 3956320, 3956574, 3956874?\nAnswer: 3957220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3205626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 0.484?\nAnswer: 0.484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3\/3 + 3568*w**2\/3 + 48732*w + 47544.\nAnswer: 4*(w + 1)*(w + 42)*(w + 849)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**4 + 2*l**3 + 22 + 7230*l - 7230*l - l**2 to the form q*l**2 + r*l + d*l**3 + m*l**4 + f and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 9*j**2\/2 - 9. Let n(z) = z**2 + 10*z. Let o(h) = -3*d(h) + 2*n(h). What is the tens digit of o(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {k: 1, s: 6, u: 2, w: 4}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 25409 + 27265. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = r - 2*u - 56, -u = 3*r - 154. Calculate the remainder when 201 is divided by r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2763 and 9?\nAnswer: 2763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21.277 - -0.377. Let w = l + 20.673. Let o = -0.33 - w. Round o to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69 (base 13) to base 11\nAnswer: -7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mgmmymgcm.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 y, and 1 n when three letters picked without replacement from ygaaadaaganadza?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5*s + 108. Suppose -i + s = -0*i. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-11 - 0) - 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = -11 + 41. Let f(h) = -4*h + 28. Let m be f(p). Let u(g) = 9*g - 23. Calculate the remainder when 144 is divided by u(m).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 167 + -166.996. Let g = 0.03 - 0.16. Let n = t - g. Round n to 2 decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8075, 7712, 7345, 6974?\n\"Answer: -2*w**2 - 357*w + 8434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4940 - -4951. Let d(x) = -5*x + 52. Calculate d(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)\/(c**(-4)*c))\/(c*c*c**(2\/23)*c)**4 assuming c is positive.\nAnswer: c**(-307\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 49270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -73722*n**3*y**2 - 3*n**3 + 3*n**2*y**2 + 8*n**2 - n*y**2 + 2*n - 62*y**2 wrt n.\nAnswer: -442332*y**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 195 - -26. Let i = k - 147. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 822295 is divided by 273894.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/40*5*12.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24268303.\nAnswer: 127, 191089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50723, 203228, 457393, 813218, 1270703, 1829848, 2490653?\nAnswer: 3253118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 10, f: 10}. Give prob of picking 3 f.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/10 of a litre?\nAnswer: 1900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.17 (b) 0.4 (c) -11.83 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**3 + 6*p**2 - 3*p - 4. Suppose 4*i - 5*h = -9, -3 = -2*i + 3*h - 10. Give l(i).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, e: 9, c: 10}. Give prob of picking 2 e and 1 b.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 2*w**2 - w)*(18 - 3 + 1) in the form p*w**2 + x + v*w and give p.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1747516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 1. Let d(u) = -8*u - 1. Let n(o) = 2*c(o) + d(o). Let a(x) = x - 3. Let i be a(2). Is n(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, m: 5}. Give prob of picking 3 m.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 107*-0.118\nAnswer: -12.626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1183.3 - 1311. Let p = -128 - z. Which is smaller: 4\/5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of j**2\/2 - 5*j - 2. Let x be g(7). Suppose -i = x, 0*c + i = -2*c + 12. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttkt when four letters picked without replacement from {k: 5, t: 7}?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - (5\/4)\/(15\/(-60)). What is the third biggest value in b, -4, 0.003?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 4 = 9*w. Suppose -3*p + p + 3*m = -1991, 0 = -w*p - 3*m + 1985. Is p a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 46511571?\nAnswer: -46511570.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1060 - -1061. Which is bigger: b or -1\/512?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*g**4*z**2 + 6*g**3*z**2 - 37*g**2*z**2 - g**2*z + 2*g*z wrt g.\nAnswer: -96*g*z**2 + 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24 - 15 - (-9)\/3. Let s(g) = -3*g + 37. Let j be s(p). Put 3, 23, j, 4 in descending order.\nAnswer: 23, 4, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/21)\/w**(-1\/11)*w**(2\/21)*w*w*w**(1\/17)*w assuming w is positive.\nAnswer: w**(13117\/3927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7083.85*-0.4\nAnswer: 2833.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2697 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44243\/6 + 7374. Let s(o) be the third derivative of -4\/5*o**5 + 13*o**2 + 0*o + 0 + i*o**3 + 0*o**4. Let c(q) = q. Determine s(c(f)).\nAnswer: -48*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.16 + 0.06. Let j(s) = 2*s - 9. Let v(q) = -2*q + 19. Let c(l) = -13*j(l) - 6*v(l). Let g be c(-1). Is g greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3604 + -3577. Which is greater: 7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10889278409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*j + 97, 0 = 4*m - j + 4*j + 129. Let s = 98 - m. Suppose -4*k - k + s = 3*w, 2*w - 4 = 0. Calculate the remainder when 49 is divided by k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30668*w**5 - 2029*w**2 + 29?\nAnswer: -1840080*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 189*k + 2279. Calculate z(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.31 + -0.01. Let z = -0.3 + d. Let y = 13.925 - 14.325. What is the closest to z in 0.3, -0.5, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*p - 2*a, a - 5*a - 1 = -p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 6636, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 124*h**2 + 205*h + 25443. Calculate y(-124).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 48.75396 minutes?\nAnswer: 2925237600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**3 - 2*l**2 + 47*l - 17. Give a(-9).\nAnswer: 856","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 413 - 2879\/7. Factor -8\/7 - s*x**2 - 4*x.\nAnswer: -4*(x + 2)*(3*x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -30 - ((-15)\/3 - -4). Let t = 31 + c. Suppose -5*q + 152 = m + t*m, -m + q = -64. What are the prime factors of m?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 e when two letters picked without replacement from {e: 2, y: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1156038900 to the nearest 1000000.\nAnswer: -1156000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 306974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) - sqrt(1331)*1*-4)**2.\nAnswer: 33275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**5 - 1683*g**3 - 12027*g**2 wrt g?\nAnswer: 120*g**2 - 10098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-7)\/(-49))\/((-8)\/(-6)))\/((-18627)\/3548)?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37347.96 rounded to the nearest one thousand?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1024\/2048)\/((10\/12)\/5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1398875.\nAnswer: 5, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(28)*1*2)\/((2*sqrt(196) - sqrt(196)) + sqrt(4) + (sqrt(28) - sqrt(28)*2)\/sqrt(7)).\nAnswer: 10*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**2 + 2*l - 4. Let s(j) be the first derivative of -8*j**3\/3 - 3*j**2 + 11*j - 9. Give -4*s(n) - 11*x(n).\nAnswer: -n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37726*g**5 - 2*g**3 + 38*g + 445 wrt g?\nAnswer: 754520*g**3 - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3209895 and 544050?\nAnswer: 32098950","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*f**2 + 2 + (-f**2 - 2*f + 2*f)*(2 - 3 + 2) - 1 + 1 + 2*f**2 + (1 - 1 - 2)*(140 - 140 - 41*f)*(-f + 5*f + 2*f).\nAnswer: 491*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -1\/11, -2\/9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of k**2\/2 - 5*k - 110. Calculate x(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 209110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**4 - 7*r**3 + r. Let q(a) = 10*a**4 + 82*a**3 + 585*a**2 - 12*a - 5674. Let o(c) = -12*n(c) - q(c). What is the derivative of o(t) wrt t?\nAnswer: 8*t**3 + 6*t**2 - 1170*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 448568659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*n = 3, -2*c = -4*n - n - 43. Suppose -c*j = 186 - 1185. Suppose -j = -w - 28. List the prime factors of w.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 91 + 101 - 4*q**3 + 2*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (4 + 3 + -4). Let h(y) = -3 + v*y**2 - 5*y**2 + 4*y**2 - 7*y. Calculate h(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.79 and -39632?\nAnswer: 308733.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 47b9 (base 12) in base 13?\nAnswer: 3891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -232232, -928964, -2090196, -3715928, -5806160, -8360892, -11380124?\n\"Answer: -232250*m**2 + 18*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91034 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10422935, -20845871, -31268807?\n\"Answer: -10422936*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4099654819?\nAnswer: 13, 315358063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*b - 4)*(0*b**2 - b**2 + 0*b**2)*(b**2 - 2 + 2 + (3 - 3 - 2*b**2)*(0 - 1 + 4)).\nAnswer: 10*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 18*b - 158. Let g be n(9). Suppose -5*x - 10 = -4*s, 3*s - 2*x - 8 = -4. Let l(h) = -3 + g*h - 13*h + s*h - 6*h. Determine l(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323156.\nAnswer: 2, 80789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -4 + 138\/120*-2.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-1*(-5)\/(-30)*-54\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7017 divided by -4?\nAnswer: 7017\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1042 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 19, s: 1}. What is prob of picking 2 k?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a**2 - 24*a + 105. Calculate g(6).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 400 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -13919*g**2 + 4660*g**2 + 4177*g**2 + 4434*g**2. Let s(y) = 23*y**2. What is r(s(c))?\nAnswer: -342792*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -208.56 rounded to the nearest ten?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 0*a - 1\/2*a**2 + 4\/3*a**3 - 4. Find the second derivative of h(l) wrt l.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 + -116884803\nAnswer: -116884803.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -85.3 and 192.\nAnswer: -16377.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnhhhnhh. Give prob of picking 2 h.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3358 is divided by 1736?\nAnswer: 1622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-411)\/(-7124))\/((-6)\/96*6).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1256*y - 5752 = 1238*y + 2132. Calculate the remainder when y is divided by 145.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**2 - 3*a**2 + a**2)*(a**2 - 1 + 1) + (3*a + 0*a - a)*(-5 + 5 - 3*a**3).\nAnswer: -3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-168)\/18)\/(-7)*84\/16?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 - 2967*d**2 - 82 + 25 + 31 to b*d**2 + a*d + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j - 21*j**2 - 38 + 25 + 22*j**2)*(-1 + 1 - j**3).\nAnswer: -j**5 + 3*j**4 + 13*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 - 41. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1280 is divided by 255.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108 + g**3 + 6*g**2 - 30 - 3*g**3.\nAnswer: -2*g**3 + 6*g**2 - 138","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8767548 centuries to millennia.\nAnswer: 0.08767548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (90\/(-36))\/(((-5)\/4)\/1). Solve -5*d = -6*d - u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t - 5*t - 3*t to p*t + z and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -621\/128 (b) -173 (c) 1\/10 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*h + 16*h = 42*h - 80 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 558378975 divided by -5775?\nAnswer: -96689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50 by -353187.\nAnswer: -50\/353187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zaa when three letters picked without replacement from nmaaz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**(-17)\/((x*x**(-4\/3)\/x)\/x*x*x\/(x\/x**(-1\/12))) assuming x is positive.\nAnswer: x**(221\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 85873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 905 divided by -181?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*n + 0*n**2 + 57*n + 14*n**2 - 30*n as r + k*n + o*n**2 and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n - 17. Let w(t) = -t - 8. Calculate -13*w(p) + 6*x(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/((-15)\/240*-8). Which is the second biggest value? (a) r (b) -5 (c) -2\/25 (d) 1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 + 24 + 38\/8 + (-10)\/(-16)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -76314579\/95680 + 18345\/23. Calculate the common denominator of p and -63\/20.\nAnswer: 4160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10568.0007135 + -10568. Round k to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5657, -0.337, 2\/15 in descending order.\nAnswer: 5657, 3, 2\/15, -0.337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0.4, 0, 0.5, -1728 in descending order.\nAnswer: 0.5, 0.4, 0, -2\/5, -1728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q**4 + 1585*q**3 - 215260*q**2 + 5577725*q = 0. What is q?\nAnswer: -505\/2, 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r**2 + 4*r**2 - 9*r**2 - 9*r**4 - 5*r**4 + 4 - r as k*r**3 + t*r**2 + b + d*r + p*r**4 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -16. Let h be 3\/x*12\/9. Let d(o) = -o**2 - 3*o + 5. Let n be d(-4). Is n smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42034133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4061, 4175, 4289, 4403?\nAnswer: 4517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 + ((2 - 5) + -4 - -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.9 + 9.5. Let l = w + -5. Put 1\/3, -2\/3, l in increasing order.\nAnswer: -2\/3, l, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7536808 to the nearest integer?\nAnswer: 2745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -23*q + 15. Calculate the remainder when z(-2) is divided by ((-21)\/4)\/((-2)\/8).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 625 + (8\/2)\/(-1). Suppose 5*t - b = 3*c - 5*c, 2*t + 1538 = 5*c. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -663*n**4 + 13*n - 15*n + 2*n**3 - 80*n**2 + 661*n**4 to w + t*n**3 + y*n + s*n**2 + c*n**4 and give s.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(3*1\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (6 + 3)) + 5 + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -2*w + 186, 13*s - 17*s = -2*w + 162. What is the second derivative of 58*q**4 + w*q**4 + 87*q**2 - 43*q**2 - 57*q - 43*q**2 wrt q?\nAnswer: 1740*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2*sqrt(38)*-5)\/sqrt(2)*4.\nAnswer: 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6494 by -2.\nAnswer: 3247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 445*n + 280*n - 147*n + (7*n - 2*n - n)*(-5 + 5 - 1) + n + 0 + 0 as j + s*n and give s.\nAnswer: 575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.4 + 2. Let r = 0.411 + z. Let j = 1.791 - r. What is j rounded to one dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -372230\nAnswer: 1\/186115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28183 is divided by 74.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 194014057 != 194014052?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*c - 17. Is c equal to 24\/139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -108 - ((-55 - -62) + -40).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -0.4 (b) -5 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23600 - 4*v**3 - 2630*v**6 + 5*v**3 + 4*v**2 - v**3 + 23805 - 2*v wrt v.\nAnswer: -315600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of 17*t**7\/42 - t**4\/12 + 7*t**3\/6 - t**2 + 59*t. What is the second derivative of m(y) wrt y?\nAnswer: 340*y**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - -1. Calculate the greatest common divisor of j and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + c + 40 = 0. Solve -q - 5*d + 1 = -c, 0 = -2*d + 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 7*d**2 + 2*d + 10. Let p be k(-7). Let i(q) = q**2 + 2*q - 5. Let m be i(p). Suppose 0*s + m*s - 6 = 0. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-312.\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -4 - -5) + -6 + (-42 - -49)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 - 2*m. Let d be a(1). Let t(f) be the second derivative of -1\/54*f**4 + 0 + 2\/27*f**3 + 2*f - 1\/90*f**5 + d*f**2. Factor t(l).\nAnswer: -2*l*(l - 1)*(l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one fifths of a century?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -i - 2. Let c(f) = 2*f + 1. Let r be c(3). Suppose -4*o + 1 = -r. Solve -i = o*a + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1538 is divided by 749?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 26.6, 5\/3, -1\/22 in descending order.\nAnswer: 26.6, 2, 5\/3, -1\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3132*x = 3154*x - 330 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50873603 - -27023603. Round x to the nearest one million.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777523729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*y = -1, 0 = 2*y - 0*y + 2. Let h be -2*(-1)\/k + 1. Is h greater than or equal to 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of l**10\/720 + l**6\/360 - l**3 + 2. Let x(b) be the third derivative of y(b). What is the third derivative of x(m) wrt m?\nAnswer: 840*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*o + 59 - 59 - 18*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4568 or -4581?\nAnswer: -4568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(2\/11)*c*c\/(c*c**1*c)*c)**4)**(6\/23) assuming c is positive.\nAnswer: c**(576\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h**2 - 3*h - 2. Let g be w(-2). Let y = 27 + g. What is the lowest common multiple of 32 and y?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dshjsdstdjtdstsfdddd. What is prob of sequence fht?\nAnswer: 1\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/1727712 and -11\/4344.\nAnswer: 312715872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 6) + (-10 - -15).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 225*l**5*o - l**3*o + 7*l*o - 42*l wrt l?\nAnswer: 4500*l**3*o - 6*l*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 461*d = 474*d - 1461863. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(704)*-3 - sqrt(704)) + 6*(sqrt(99)\/(sqrt(27)\/sqrt(3)) + sqrt(11)) + 3)**2*3.\nAnswer: -840*sqrt(11) + 13347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.06 + 0.17. Let p = -0.11 + c. What is the closest to -0.1 in p, -0.5, 2\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 492 divide 2463848253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -750 = 4*p + 2*a, -4*a = -3*p - 325 - 254. Let j = -189 - p. Which is smaller: 5\/78 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 23133?\nAnswer: -23134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 5*c**2 + c - 1. Let p(w) = 9*w**2 + 2*w - 2. Let t(r) = 11*m(r) - 6*p(r). Let g(i) = -3*i**2 + 2*i - 4. Give g(h) + 2*t(h).\nAnswer: -h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -4 + -7 + 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, e: 1, f: 3}. What is prob of picking 2 f and 2 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + -4)**2 + sqrt(704) + -3 + (((sqrt(132)\/sqrt(3))\/sqrt(4))**2 - ((sqrt(1331)*-3)**2 + sqrt(11))).\nAnswer: -11779 - 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -339 = 3*j - 6*j. List the prime factors of j.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*x - 141*x = -3724 - 116 for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*m**4 + 736*m**3 + 2020*m**2 + 1784*m + 512 = 0. Calculate m.\nAnswer: -1, -2\/3, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 3*b = 8, -5*x + 228 = 4*b. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + r - 17*r + 4186 = 0. What is the highest common factor of r and 506?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10341804 divided by -15\nAnswer: -3447268\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -1, -14440 in descending order.\nAnswer: -1, -3, -5, -14440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 207 + 153. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 177, 437, 697, 957?\n\"Answer: 260*d - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1133673897?\nAnswer: 3, 377891299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*z - 865 = 57*z + 925 + 100 for z.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 6*z**2 + 2*z - 14. Is d(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/27903 + 37202\/27903. What is the nearest to 1\/4 in f, 4, -3, 2.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 61 and -2334607.\nAnswer: -142411027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1305834351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -171*s**2 + 10*s + 4 wrt s?\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*g = -8, 5*g = 2*b - 4 - 0. Solve -z = z - b for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 22 + 25 = 0. Is l + 2 + 0 - -290 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1158, -944 in descending order.\nAnswer: 1, -944, -1158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 505*v**5 + 2*v**2 + 813*v.\nAnswer: 10100*v**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4656335 is divided by 160.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-29)\/3 - -3 - 10\/(-15). Let f be j\/(-2) + 7\/((-182)\/118). Do -1 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3075015 and 381495?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 7. Let m = 4.2 + c. Let o = -1.1 - m. What is o rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(363) + 1*sqrt(363)*-3 + 4) - ((sqrt(363) - (sqrt(363) - -2*(-1 + sqrt(363)))) + (sqrt(363) - (sqrt(363) + sqrt(363)*2)) + -2)*6)**2.\nAnswer: -11264*sqrt(3) + 371968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 572521726?\nAnswer: 2, 7, 223, 183383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1*i)\/i)**(-4\/11)*(i*i**2)\/i**(-7) assuming i is positive.\nAnswer: i**(106\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2 + 5 + p - 2. Let b(j) = 13*j**3 - 9*j**2 + 15*j + 37. Let s(o) = -3*o**3 + 2*o**2 - 4*o - 9. Let f(k) = 2*b(k) + 9*s(k). What is -f(z) - 6*r(z)?\nAnswer: z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**6 - 84073600*c**4 - 130218294*c**2.\nAnswer: 240*c**3 - 2017766400*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 6*d - 8*d = 1, -15 = -5*j - 10*d for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 8*d**2 + 6 + (-4*d + 0*d + 3*d)*(-1 + 1 - d) to f + o*d**2 + n*d and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 9*s**2 + 10*s - 6. Let p(v) = 8*v**2 + 9*v - 5. Let n(d) = 6*a(d) - 7*p(d). Determine n(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293551 to the power of 1\/2, to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -572?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 1:51 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -661 + 673 = -6*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 6*o - 1 + 3)*(335 - 150 + 384)*(o - 4*o + o).\nAnswer: 7966*o**2 - 2276*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqygbcq. Give prob of picking 1 y and 1 b.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -163*y**2 - 11*y - 20. Let w be j(-3). What is the hundreds digit of 3*(-9)\/27*w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((44\/(-66))\/(8\/18))\/(5\/(-10)). Calculate the highest common divisor of 401 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2 - 131*p - 317. Let b be t(46). Solve f - 8 = b*j, 2*f + 6 = 3*j + 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/5 (b) 0.3 (c) -0.6 (d) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -253 - -459. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*p - 40 = 0. Solve -7*a + 4 + p = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n = -376 - 119. Calculate the highest common divisor of n and 495.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**2 + 206*m - m**2 + 204*m - 2 - 408*m. Let u(i) = -i**2 - 5*i + 4. Let r be u(1). Calculate a(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n + 4*n - 1 + 0 + 4. Let o be c(0). Find the first derivative of -o*u + 3*u + 3 - 3*u**4 wrt u.\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -5. Let t = 8 + -4. Suppose -t*i = -2*i - 10. Put 0, c, i in ascending order.\nAnswer: c, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**4 - v**3 + 2*v + 3*v**4 - 4*v**4 - 8*v**2 to k*v**2 + u*v**4 + b*v**3 + m + i*v and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, z: 1, i: 1, v: 2, b: 1, s: 2}. What is prob of sequence ib?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 97548803971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 2611 divide 357981155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(-6) + (-4)\/6. Suppose 0 = -5*d + 22 + 13. Determine i so that 29\/4*i**3 + 0 - d*i**4 - c*i + 1\/4*i**2 = 0.\nAnswer: -1\/4, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35492 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -308, -675, -1106, -1601?\n\"Answer: -32*u**2 - 271*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 3)*(5367*r + 6453*r - 10829*r)*(r**2 + 2*r**2 - 2*r**2).\nAnswer: -1982*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 51 - 36 = 0. Let m(p) = -p**2 - p - 4. Let r be m(0). Sort r, z, 3, 0 in ascending order.\nAnswer: z, r, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/6 + 11\/3. Let h be -3*(-36)\/81*6\/s. Suppose -h*k - 4*z - 74 = 0, -7*k = -9*k + 3*z - 88. Which is greater: k or -42?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*w = 637 + 154 + 236 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.3, 0, -221, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q - 1. Let c be (11\/1 - 3)*-1. Suppose 3*f = -0 + 9. Let s(v) = 3*v - 2. Calculate c*t(r) + f*s(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.15, -7, 12, 4?\nAnswer: -1.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (8 - 12) - (0 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1025 times 0.3?\nAnswer: -307.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*k - 2, -12*k - b = -15*k + 2. What is q in 26\/5*q**2 - 34\/5*q**3 + 12\/5*q - 2*q**4 + k + 6\/5*q**5 = 0?\nAnswer: -2, -1\/3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1161 times -16\nAnswer: -17.8576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 128, 783, 2448, 5597, 10704, 18243, 28688?\n\"Answer: 79*a**3 + 31*a**2 + 9*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18594, 74210, 166928, 296742, 463646, 667634?\nAnswer: 908700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + -3)\/3*6. Let z be 24\/32 - n\/(-8). Let m be 0 - 2 - -85002 - z. What is m rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3911320607?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 3. Let j = r + 5. Suppose j*u = -4*v + 8, u + 4 = -0. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*s**3 + 73*s**3 - 115*s**3 + 3*s**2.\nAnswer: -10*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(33)\/sqrt(3))*6)**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 + -91. Let x = 169 + w. Suppose 5*q + 3*r + 238 = 0, -5*q + 3*r = x + 115. Which is greater: q or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -76.4386161 + 76.44. What is t rounded to five dps?\nAnswer: 0.00138","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 555 = 5*g + m, 4 - 14 = 2*m. Let b = g + -55. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1570924 rounded to 2 dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(1 - -1)\/(-2). Let h(o) = -2*o**3 - 3*o**2 - 17. Let r be h(-4). Let x be -2*7\/(r\/(-90)). Solve l*u + x = 7*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k + 18. What is w(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**8\/1008 - 2*d**7\/315 - d**6\/30 + 8*d**5\/45 + 8*d**4\/9 - 474*d**2. Solve w(q) = 0 for q.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4743790 to the nearest one hundred thousand.\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1210000 rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 140\/49 + (-1)\/(-7). Find the second derivative of -c + 46 - 46 - 6*c**h wrt c.\nAnswer: -36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fa when two letters picked without replacement from yufhfamu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2863374 rounded to the nearest one thousand?\nAnswer: 2863000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 1 = 6*m. Let v(c) = -2*c. Let b be v(-2). Solve -m*g - g + b = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 + -18 + (-11)\/(11\/(-12)) and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 633471.\nAnswer: 3, 17, 12421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/21 (b) 1.756 (c) -3\/4 (d) -1216 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/((-80)\/130)*(-10065)\/(-732)*12\/15.\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 179938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 32*u = -5*u - 312 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(2\/6)\/((-5)\/5)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 248550 to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 5*t**4\/12 + 5*t - 10. Let h(q) be the third derivative of 0*q**4 + 0*q + 0*q**3 - 1\/20*q**5 - q**2 + 0. What is h(j(z))?\nAnswer: -75*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 821121?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4386000657?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 201*l**3 + 1004*l**2 - 33*l - 160. Calculate t(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 240\/90*-1*3\/(-24)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/25930485 and 23\/1646380?\nAnswer: 103721940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 3*p**2 + 4*p + 3. Suppose -g + 0 = 4. Let f be j(g). Let z = -137 + 137. Solve f*w - 12 = -z*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 7*d**2 + 5. Let f be u(7). Suppose -5*z + 12 = -z. Let a be -2 + (1 - (z - 2)). Sort -5, a, f in decreasing order.\nAnswer: f, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: a5 (base 14) to base 9\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 64 (base 15) to base 13\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.7463 + 0.6463. Suppose -3*m = 2*i - 31, -2*m + 16 + 26 = -4*i. What is the smallest value in m, l, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/22883 and -40\/63?\nAnswer: 205947","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 5*p**2 + 5*p + 6. Let b be v(-4). Suppose b*n + 3 = n. Let h(j) be the first derivative of j**2 + 2*j + 1. What is h(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (71 - -17) + 14 - -1 - 13\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15960884 and 0.212828.\nAnswer: 15960884.212828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c4644 (base 14) to base 8.\nAnswer: 3666524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 466.3 + -492. Let u = p - -20.7. What is the nearest to -1 in u, -1\/2, -46?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 31*j = 33*j + 2*q, -4*q = -j + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*21\/70*5\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*2*2)\/sqrt(12).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 85002089063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 2*t**2 - 12*t - 48. Is n(-12) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56206 - 24117. What is the thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -197, -426, -747, -1160, -1665?\nAnswer: -2262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 6, o: 1, m: 11}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 13*j**2 - 31*j - 23. Let k be u(-10). Let a(l) = -3*l**2 - 54*l - 15. Does 10 divide a(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 1:58 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-11 + 1)*(-16)\/(-32)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 35, 73, 123, 191, 283, 405, 563?\n\"Answer: k**3 + 31*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 88665107711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.12 - 5.12. Let j = r - -5.0004. What is j rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-1 + 0)) + (9 - 8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12*490.8516\nAnswer: 5890.2192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 15751*i. Let h(c) = 12*c**2. Determine w(h(r)).\nAnswer: 189012*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 197 times -41.05\nAnswer: -8086.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43 and 473?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 89*w**5\/10 - 56*w**3\/3 + 179*w. Find the second derivative of q(h) wrt h.\nAnswer: 1068*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 95, 2, -0.2, -1, -370?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-693)\/(-252) - (-43)\/(-20). What is the closest to 0.1 in -2, u, -2\/1731, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -18, -67, -148, -261, -406, -583?\n\"Answer: -16*d**2 - d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -20*t**5 + 3905*t**4 - 112595*t**3 - 815515*t**2 + 1162015*t - 237790 = 0.\nAnswer: -7, 1\/4, 1, 43, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21292, -42585, -63878?\nAnswer: -85171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 221341249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 9*s + 66. Let g(p) = -2. Let z(n) = 5*g(n) - r(n). Let m be z(16). What is the highest common divisor of m and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 3, -8 in descending order.\nAnswer: 6, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70 + -67 - (0 - -1) - -14?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(14\/9)*n*n*n*n**3*n assuming n is positive.\nAnswer: n**(77\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -1494, -9 in ascending order.\nAnswer: -1494, -9, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p. Let o(k) = -2032*k. What is o(l(g))?\nAnswer: -8128*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.44694 - 788\nAnswer: -788.44694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 4548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*q = 27*q - 23540. Is 20\/(-28) + 1 + q\/(-28) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(-1\/11)*w\/w**5*w**(1\/13)*w**(-1\/10)*w assuming w is positive.\nAnswer: w**(-2763\/1430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 f when three letters picked without replacement from {s: 3, z: 6, o: 4, q: 2, i: 1, f: 4}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-9) - 2584\/612. Let n be (-3)\/w*(-12496)\/(-213). What is the highest common factor of 33 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320.37787 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 5.6. Let u = 0 + t. Let n(j) = j**3 + 7*j**2 + 6*j. Let g be n(-6). Which is the closest to -1? (a) g (b) -0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 180 times -8\nAnswer: -1440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 10 = 5*l, 0 = -8*r + 3*r + l - 2. Let i be r + 1 + (-8)\/(-18). Is -1 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvd when three letters picked without replacement from {g: 2, t: 5, s: 1, d: 1, v: 7}?\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12221738.\nAnswer: 2, 67, 223, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (8\/(-16))\/((-2)\/468) is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247*x = 492*x - 4165. What is the smallest common multiple of x and 2*((-3)\/(-2))\/1?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 13*b**2 - 37*b + 17. Let n be k(9). Suppose -n*j = -39 - 57. Calculate the greatest common divisor of j and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -1405928\nAnswer: 2811856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 3:38 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o**2 - 38 + 2*o**2 + o**3 + 31. Is 9 a factor of p(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -6*k + 23, 30850*k = 30855*k - 5*v - 40 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 21\/5 of a second?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -169*j**3 + 500*j**2 + 295514*j?\nAnswer: -1014*j + 1000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 143, 581, 1315, 2351, 3695, 5353, 7331, 9635?\nAnswer: 12271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvxheyhy. Give prob of picking 2 y.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**3 - 19*r**2 + 11*r - 545. What is the tens digit of q(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75 and 76000.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 2*l - 65. Suppose 4*q + 4*t = 6 + 2, 0 = 3*q - 5*t + 10. Let s be b(q). What is s rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 4*s**2 + 4*s - 2. Suppose -7 = -2*b + 7. Calculate the remainder when b is divided by z(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49280459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 12*i + 6. Does 2 divide q(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2836 is divided by 666.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67136850 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/73, -0.3, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 + 62. Let r(l) = l**3 - 13*l**2 - 15*l - 8. Let h be r(y). Does h = -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**6)\/(((d*d**25)\/d)\/d) assuming d is positive.\nAnswer: d**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**8*l)\/(l*l\/l**21*l))**(-39) assuming l is positive.\nAnswer: l**(-1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18 + 2 + -1 + 3. Suppose -4*y + t = -3*d, -y = 2*y - d - 14. Let a(x) = 3 - 3 - x**2 + 0*x**2 + 3*x - y. Determine a(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 21324 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - i - 9968. Let c = 1259 - i. Let v = -862 - c. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 116 and 2813.\nAnswer: 11252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19005, -0.2, 3\/5, -2, -5, 3.\nAnswer: -19005, -5, -2, -0.2, 3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 399.9 - 419. Let s = -20.1 - c. Let z be (-3)\/9*(-2)\/(-10). Which is smaller: z or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(720) + -2 + -1) - (((-1*sqrt(720)*-3 - sqrt(720)) + sqrt(720) - sqrt(720)) + 5 + sqrt(720) + 1))**2.\nAnswer: 288*sqrt(5) + 11529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/9 - 8\/(-36). Suppose -4*n - 54 = 3*o, -o - 3 - 17 = 2*n. Let i be (o\/(-8) - 1)*-4. Sort r, 1, i in descending order.\nAnswer: 1, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u - 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 99 or -5307?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19d - 39?\nAnswer: -1d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 213972589 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 31*s**2 - 39*s + 59. What is the tens digit of z(28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g + 3. Let k(t) = 36*t - 5. Let l(q) = -34*q + 7. Let r(f) = -4*k(f) - 5*l(f). Give 2*r(p) + 11*u(p).\nAnswer: -3*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2473 - 943. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**4 + 95*n**3 + 202*n**2 = 0.\nAnswer: -2, 0, 101\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*p - 12 + 6*p**3 + 0*p**3 - 7*p - p to t + o*p**2 + b*p**3 + n*p and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 34 = t + 24, -5*q = -3*t - 94. Calculate the highest common factor of q and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/813 - -47144\/4065. Calculate the common denominator of 35\/2 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 139*p - 2215. Give v(16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*h = -122*h + 1767 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 + u**2 - u**2 + (5*u + u - 4*u)*(-2*u - 1 + 1) - 2*u**2 - 1 + 1 + 2*u**2 + 3*u - 3*u - 425*u**2 + 114*u**2 - 144*u**2.\nAnswer: -460*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176810684.\nAnswer: 2, 44202671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2400 (base 14) in base 8?\nAnswer: -14200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*(-2*v**4 - v**4 + 2*v**4) - 3*v**4 - 9*v**4 - 12*v**4.\nAnswer: -25*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a gram in micrograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -16*v**4 + 16005604*v**3 - 5337071321400*v**2 + 593216366884830000*v - 148303758154500000 = 0?\nAnswer: 1\/4, 333450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/6, 3, 862?\nAnswer: 862","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 18*h - 16*h + 2 + 17*h**2 - 1. Let u be x(1). Solve 5*d - 4*s = 45, -2*d + 0*d + 2*s = -u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 180, 244, 308?\nAnswer: 372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204*q - 84*q = 11760. What is the highest common divisor of 546 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/(-15)*-1)\/((-1)\/10). Suppose -5*g - 1 = -3*r, 4*r - 40 = -5*g + j. Solve 5*f + r + 8 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1315827 is divided by 2459?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 20*g + 42. Let s be v(27). Let t = s + -274. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 5*x - 4*n, -13 - 7 = -2*x + 3*n. What is the remainder when 217 is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 5.94. Let r = -1.06 + t. Let j = r - 0. Which is bigger: -2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*o**2 + 74 + 266 + 2*o - 387 as j*o + g + h*o**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 7*m**2 - 3*m + 3. Let v be i(6). Let l be 96\/v - 2 - 2. Which is the closest to -2\/7? (a) -3 (b) -4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -17\/3, -7 in descending order.\nAnswer: 17, -17\/3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 54*f + 149*f + 109*f.\nAnswer: 204*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of 1\/3*r**3 - 9\/2*r**2 + 0 + 7*r. Let j be s(6). Solve -3*y = -4*k - 2*y - 8, -j*y = -4*k - 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eevveeeeveevveeeeee. What is prob of picking 1 e and 1 v?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tbb when three letters picked without replacement from ubzzttutgz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9967980604 plus -25?\nAnswer: -9967980629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0.6. Let j = p - 4.6. What is the second biggest value in j, 0, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-126)\/(-4) - 1) + (667\/46)\/(-29).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/4*(-54)\/(-243)*4?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 605605524.\nAnswer: 2, 3, 50467127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127, -132, -147, -178, -231, -312, -427, -582?\nAnswer: -783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 2*j**2 + 34*j + 98. Determine b(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**3 - 5*r - 5. Is 45 a factor of q(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 287*((-6588)\/189 + 35)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (473 - 404)*4\/(-18)*-3. Is -8\/5 at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3381 and 1242.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94902?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35011, 34974, 34887, 34726, 34467, 34086, 33559?\nAnswer: 32862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -3. Let l = -13.033237 - -0.033237. Sort m, 0.5, l, 0.2 in decreasing order.\nAnswer: m, 0.5, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48120 and 30075?\nAnswer: 240600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -127302, -254085, -380870, -507657, -634446, -761237?\n\"Answer: -l**2 - 126780*l - 521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -86445 divided by -3?\nAnswer: 28815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 42 (b) 1\/62 (c) 51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 70753641?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 64, 2 in ascending order.\nAnswer: -2, 0, 2, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**4 - 2356*i**3 - 11814*i**2 - 18920*i - 9464 = 0. Calculate i.\nAnswer: -2, -1, 1183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wq when two letters picked without replacement from {w: 2, i: 4, q: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 7*f - 3*n, n - 8 = f - 12. Solve 5*p - 5 - f = -2*u, -4*u - 4 = -4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/605737 and 37\/39.\nAnswer: 23623743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-2))\/(3177\/7060).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -1513*h + 500. What are the prime factors of p(-4)?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -126. Let g(y) = 2*y + 127. Let p(w) = 4*g(w) + 5*x(w). Calculate the remainder when 329 is divided by p(19).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154546517.\nAnswer: 9787, 15791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -4. Let m = 7 + -14. Suppose 0 = 5*j + k - 3*k - 5, k - 4 = -4*j. Put f, j, m in decreasing order.\nAnswer: j, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -216 divided by -4\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51\/(-3))\/((-153136)\/(-4504))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 10 = 6*g - 3*r, 2 = -g - r. Suppose -701*v = -702*v + 4. What is the smallest common multiple of v and (-4)\/(-2 + 2 + g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/36050 and 179\/60.\nAnswer: 216300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 333670 = -46*v + 2315350. Let m be 4\/(-36) + v\/135. Calculate the highest common divisor of m and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216639 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*m = 64. Suppose 2*z + 4*g = 18, -2*z + 0*g = 2*g - 8. Let q be z - m\/12*1. Which is the smallest value? (a) 2\/11 (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.3 in -0.2, -80, 4, -0.001?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -133221201323 (base 4) to base 12\nAnswer: -294130b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 14 = -5, 0 = -4*s - 5*u + 31. Suppose -4*z = -2*b + 4, -2*z + 2*b - 2 - s = 0. Which is greater: -1\/8 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-2)\/q))**(-37))**(-43)\/(q**4*(((q**(-1)\/q)\/q*q)\/q)\/q)**(-6\/17) assuming q is positive.\nAnswer: q**6364","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h - 3*h + 2*h)*(4*h + 8*h - 3*h) in the form t + u*h**2 + d*h and give u.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -1 - 12\/(4 + -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14.4 in 3, 2, -1.2, -2\/11, -0.08?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*v = 2. Let k = -342.97 + 342.87. What is the nearest to -3\/8 in k, 1, v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (46 - (3 - -41)) + -52\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*b + 13*b - 3*b**2 + (2 - b - 2)*(-1 + 1 - b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/702 and -51\/2.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -1. Let a(m) = m. Let t be (-12)\/(-7) + 6\/21. Give t*k(z) - 2*a(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-6) - ((-18)\/(-54))\/((-4)\/6172).\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 11, h: 2}. Give prob of sequence hyy.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.18 in -2, 2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 5:58 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 192 - 190. Let i = -3.45 - 0.35. Let g = i - -4. Which is the closest to q? (a) g (b) -0.1 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - 18. Let v be 0\/2 - (k - 0). Suppose 5*d - v + 0 = 0. Solve 2 + 23 = d*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-4 - (3 + -12)). Let u = -86641\/45 - -1925. Let j = -2\/45 + u. Which is the closest to 2? (a) 1 (b) j (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6242*y - 232280 = 36459 + 12151 for y.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -7*u**2 + 2*u + 2. Determine h(-2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phpjveajjajepavae. Give prob of picking 1 h and 1 p.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106 - 24580.\nAnswer: -24686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*c**2*m**4 - 2*c**2*m - 8414947*c*m - 2198*m**4 wrt m.\nAnswer: -576*c**2*m**2 - 26376*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -28090 (base 15) to base 6\nAnswer: -2430213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 9. Suppose y*w - 5*w + 6 = 0. Let i be (0*3\/w)\/(-1). Solve i*h - 2*h = -6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 117763520.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 438722 + -17108738\/39. Let q = 2\/195 - z. Is -36 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -14. Let o = k - 4.99965. Round o to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1326 = 3*s - 258. Suppose 0 = -3*m + 8 - 2, 4*m + s = 4*k. What is the remainder when k is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -h**6\/6 + 2*h**5\/5 + 45*h**4\/4 + 142*h**3\/3 + 86*h**2 + 72*h + 282. Find l such that c(l) = 0.\nAnswer: -2, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -5, 6308.\nAnswer: -5, 0.5, 6308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (38 - 62) - 15 - (-12 + 0)) + -64.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -181 divided by -20\nAnswer: 181\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*f**3*o**2 - 3*f**2*o**2 + 9900*f**2*o - 14*f*o + 35*f + 3*o**2 + 81*o wrt f?\nAnswer: -60*f*o**2 - 6*o**2 + 19800*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -1\/2 (b) 2\/9 (c) 0 (d) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 111311210 + -1301?\nAnswer: 111304404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -212?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a day in minutes?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-85)\/15 - 2\/((-36)\/30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23492590?\nAnswer: 2, 5, 11, 41, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2430))\/sqrt(6).\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 18318 divided by 2\nAnswer: 9159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/11 (b) 1 (c) -2\/5 (d) 15 (e) 0 (f) -37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 731 is divided by 80.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 514 = -88. What is the remainder when h is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 170732397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p**2 - p + 40. What is t(10)?\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -20.1 (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r + 20. Calculate n(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*j - 60*j = -895 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u**2 - 3*u**2 + 31 - 43 - 2*u)*(0*u + 3*u - u) to the form z*u**3 + r*u + y*u**2 + p and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -221733798, -221733797, -221733796, -221733795, -221733794?\n\"Answer: p - 221733799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 783309*i**2*k + 10120145*i**2 wrt k?\nAnswer: 783309*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54694539?\nAnswer: 3, 1063, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + -1*sqrt(98))*-1 - sqrt(98))**2 - (sqrt(10)\/(sqrt(15)\/sqrt(3)) + -1*sqrt(288)).\nAnswer: 11*sqrt(2) + 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 56, 0.6, 0.3, 4?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 46*c**2 + 26*c**2 - c + 24*c**2)*(1 - 5 + 2) in the form f*c**2 + x*c + l and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*q + 20 = 0, -4*v + 0*q - 23 = -q. Let o = 6 + v. What is the units digit of -2 + 1 + o + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 - 9 = 9*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*h + 363 = -4*k, 0 = 5*k + 4*h + 607. Is 4 + (-1 - k) + 0 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 19*o + 13 + 24*o - 6*o**2 - 45*o. Differentiate i(b) with respect to b.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660491 rounded to the nearest 1000?\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5595697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 - 47. Suppose j = -4*i + 790 + 446. What are the prime factors of i?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 3)*(2*c + 21*c - 4*c) + 2*c + 2 - 2 + 5*c + 0*c - 15*c to the form x*c + a and give x.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 43, 46, 51, 58, 67?\n\"Answer: n**2 + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -34637 and 23409.\nAnswer: -11228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 + 141\/4. Let y = 78355 + -78359. Let d be (-6)\/(-5)*20\/6. Which is the nearest to 0.3? (a) y (b) d (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (-510)\/(-9) + 2\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2 = 5*l. Let k be (-8)\/(-4) - (-1 - l). Suppose -4*v - 20 = -2*s, 9 + 85 = k*s + v. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/265 or -22?\nAnswer: -2\/265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 70\/(-42)*9\/(-60)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/558*3\/2. Which is smaller: -0.3 or n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + ((-6)\/(-3))\/(2\/119). Let p = w - 115. Let y(o) = o**3 + 6*o**2 - 9*o + 10. Let k be y(-7). What is the highest common divisor of k and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5575447.\nAnswer: 5575447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3ac - 3?\nAnswer: -3b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 2*y**2 - 6*y + 3. Let w be p(4). Let i = w - 8. Solve -i*x + 7*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -39*n**2 - 13*n - 316. Determine p(9).\nAnswer: -3592","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -3*-3*sqrt(833)*1*-5 + 3)*-2)**2.\nAnswer: -5040*sqrt(17) + 6747316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 - -0.3. Let d be (-27)\/15*(-20)\/6. Let o be (8\/78)\/((16\/d)\/4). Which is the third smallest value? (a) x (b) 0.05 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*c + 11*c - 213. Suppose 4*o = 3*h + 665, -5*h + c + 769 = 5*o. What are the prime factors of o?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 + 0. Suppose a + 33 = 4*v + 101, 2*a = -v + 118. Suppose 34*j + a = 31*j. What is the smallest value in b, -1\/2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 7*u**2 + 15. Let n be v(-7). Suppose 0 = -n*f + 32 - 2. What is the third derivative of 42*m**3 + 3*m**2 - 6*m**f - 24*m**2 - 26*m**3 wrt m?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u + 3*w - 25 = 14*u, -5*u + w - 30 = 0. Let g(z) = -8*z**2 + 10*z + 3. Let q(x) = 2*x**2 - x - 1. Let c(i) = u*q(i) - g(i). Give c(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + b + 29)*(2*b**2 - b**2 + 0*b**2) + 2*b**3 - 4*b**3 + 3*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 33379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 8:41 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 6*m = -30. Suppose -g - 455 = m*t, -5*t = 3*g + 2*g + 475. What are the prime factors of (-904)\/(-18) - (-20)\/t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14596 by -1.\nAnswer: 14596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -10*l**2 + 18498*l - 2852640 = 0.\nAnswer: 849\/5, 1680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*i**2 + 5*i**2 - 10*i**2.\nAnswer: -45*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -4 (c) 0.3286 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3*(-3*sqrt(245) + 2))**2.\nAnswer: -4536*sqrt(5) + 119286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3 = o, -3*z - o = -2*z + 1. Let p = z + -2. Let v(s) = -4*s**2 + 7. Let n(x) = 5*x**2 - 8. Let a(c) = -6*n(c) - 7*v(c). Give a(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y - 2. Let f(c) = 4*c - 2. What is 3*f(k) - 4*o(k)?\nAnswer: -8*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400 is divided by 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/2, -4\/3, -0.2, 1\/11?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = -22 + 1. Sort 5, r, -1, 4 in decreasing order.\nAnswer: 5, 4, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (42 - 30 - r + 3*r)*(2 - 3 + 3) in the form o + q*r and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f. Let c be i(-1). Suppose 3*v + 3*g = 2*v + 8, 0 = -c*v - g + 12. Factor v*w + 2 + 1\/2*w**2.\nAnswer: (w + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 238*r**3 + 4*r**2 - 358*r - 5. Is c(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iq when two letters picked without replacement from jhhqihj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 193, 205, 231, 277, 349, 453, 595?\n\"Answer: r**3 + r**2 + 2*r + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l + 45 = -130. Let n be 6\/(-3) - l\/(-14). Let v = 0 - 0. Which is the closest to v? (a) 0.07 (b) n (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 60 = -3*m. Let n be 12\/9*(-15)\/m. Solve n*p + 10 = -3*k, -3*p - k + 0*k - 15 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*s**2 + 6*s**3 + 329*s + 5*s**3 + 306*s - 636*s to l*s**3 + h + a*s**2 + b*s and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1032 (base 5) to base 3.\nAnswer: -12021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2660272 and 41584.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*j - 3*l + 15, -35*j + 14*l = -33*j + 72 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 1\/3 (c) 1\/14 (d) -13 (e) 1\/10 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = -s + 3*b - 24, 20 = -4*s + 3*b. What are the prime factors of (-5578)\/s + (-42)\/(-24) + -2?\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4 - 10 + j**3 - 2*j**3 wrt j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 1. Let s = -12 + o. Let p be ((-2)\/4)\/((-1)\/(-3)). Which is the closest to s? (a) -0.3 (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = 4*u - 3*u + 4*i, 4*i = -2*u - 212. Let g = -101 - u. Calculate the remainder when 45 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37620, 75237, 112854, 150471, 188088, 225705?\nAnswer: 263322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 360332 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i - 20. What is h(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2*221)\/(-2)*1\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1127133 and 14427.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222 - 12 = -6*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 - 6\/(-4)*2. Let p = g - 9. Let v be 18\/5*5\/p. Round v to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418084 plus 1275892.58?\nAnswer: 1693976.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144355 is divided by 28811?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 9:00 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13605\/(-168) + 442584\/5464?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = -24*q + 22*q + 4*j, 0 = -q + 4*j + 90. Solve 3*b = 2*p + 10, p = 111*b - q*b - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/8 + 1425*a**3\/8 + 1775*a**2\/2.\nAnswer: a**2*(a + 5)*(a + 1420)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -237, -240, -245, -252, -261?\nAnswer: -272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 24*u - 9*u - 54768. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 80*f**3 + 14 + 2 - 32*f**3.\nAnswer: 48*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 56115497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -3*d**2\/2 - 2*d - 1. Let f be (24\/20)\/(4 - (-548)\/(-140)). Suppose -15*u - 16 = f. What is q(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23800 and 161466900?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2114503 + 5425?\nAnswer: -2105034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -31, -0.3, -954, 16?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93123471?\nAnswer: 3, 7, 90499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - z = -4*d - 30, 3*z - 35 = 4*d. Solve -z*h + 16 = -2*o, 9 = -o - h + 4*h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -1\/8 (c) -1 (d) -4\/5 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**49\/(((h*h**(-7)\/h)\/h)\/h*h*h**(2\/7)\/h) assuming h is positive.\nAnswer: h**(-282\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -651\/2 - -397. Let r = y + -1863\/26. Let h = -942 - -944. Which is the nearest to -1? (a) h (b) r (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/6277 (b) -2 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + z + 5*u = 105, 4*u - 4 = z. Let d(a) = 14*a**2 + a**3 - a**3 + 31*a - a**3 + 18 + 0*a**3. Let f be d(z). Solve 3*c = 2*c + f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -399 - -400. List the prime factors of ((-380)\/50)\/(1\/(p + -36)).\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1157123 divided by 8833\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 2*r + 8 - r)*(-7*r**3 + 5*r**3 - 4*r**3).\nAnswer: 18*r**4 - 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -161\/564294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-2))\/((-39)\/(-182)). Suppose z - f = -a, -2 = a - 3*z + 11. Solve 1 = -a*c - 1, 0 = -o - 5*c - 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14857 - -14917.13. What is p rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -20 + 3\/2*t**3 - 6*t - 3\/8*t**4 + 0*t**2. Find d such that r(d) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 11*t + 987. Let s = t - -346. List the prime factors of s.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 32627861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2446 is divided by 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 7:47 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 18081933, 36163849, 54245765, 72327681?\n\"Answer: 18081916*f + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -32 (c) -6\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 584 and 8888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1848990 divided by 369798\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i. Let g(w) = 1. Let c(n) = -4. Let o(h) = c(h) + 5*g(h). Let v(y) = -4*y + 6. Let f(b) = -6*o(b) + v(b). Calculate f(l(a)).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64 - -64.03. Let g = 8 - 7.93. Let w = g - z. Which is the biggest value? (a) -2 (b) w (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -74521 + 74583.526. Let l = d + -37.487. Let r = l - 25. What is r rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10010? (a) 0 (b) -2\/11 (c) -2\/35 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 841*s**4\/3 + 3973*s**3\/3 - 6190*s**2\/3 + 1472*s\/3 - 32 = 0 for s.\nAnswer: -6, 4\/29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/4 and -81\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 539000651, 539000652, 539000653, 539000654, 539000655?\n\"Answer: k + 539000650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/9)\/((1\/(1\/3))\/((-183339)\/(-3134))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*d + 67, -2*k - 18 - 50 = -2*d. Is 3113 + d + (-3)\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -1. Let g = -1.045 + t. Let u = -0.04500033 - g. Round u to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 3. Let w be j(5). Let g(n) = -2*n**2 - 3*n**2 + 3*n**w - n**2. Let x(l) = -l**2. Give g(x(u)).\nAnswer: -3*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6*70\/(-84)*(-6)\/20\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2479.006um to nanometers.\nAnswer: 2479006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 + 47 = 34*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -161497 (base 14) in base 3?\nAnswer: -1110012221220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or 0.023078?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**3*x - 9628*d**3 - 2*d**2*x + 2096*d**2 + d*x wrt d?\nAnswer: 6*x - 57768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (7 - 9) - 8) + (-1 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -287 + 684. Is 57 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and (-1520)\/(-3)*(-2694)\/(-2245)?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h**2 + 5*h**2 + 0*h**2)*(5*h**3 + 0*h**3 - h**3).\nAnswer: 44*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 + 20*a - 22. Calculate n(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -i**4\/6 + i**3 - 3*i**2 + 3*i. Let t = 2 - 1. Let o = 0 - t. Let c(h) = -h + 1. Give o*d(r) - 6*c(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(-2))**(-4)\/(r*r**2)**(-18\/7) assuming r is positive.\nAnswer: r**(-58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11844530.5 rounded to the nearest one hundred thousand?\nAnswer: -11800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 16*v**2 - 15*v - 4. Give w(15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2239357.\nAnswer: 2239357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -k**7\/1260 - 7*k**6\/1080 + k**5\/90 - 3*k**3 + 20*k. Let d(w) be the second derivative of g(w). Factor d(a).\nAnswer: -a*(a + 4)*(2*a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -202211130?\nAnswer: 202211201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 73*w - 67*w - 42. Let y be -1*(-6)\/w*29\/87. What is the second smallest value in -2\/17, -2\/3, 1, y?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000124218178 to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 477 * -824.\nAnswer: -393048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 180 and 6\/(-11) + (-7290)\/(-297).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g. Let b = 0 + 4. Suppose -i - 3*i = -b. Calculate q(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 2:11 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5cb299 - 5?\nAnswer: -5cb2a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*a**3 + 1819*a + 2515*a - 194*a**3 - 7*a**3 wrt a?\nAnswer: -990*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (-4)\/(-42) - (-95120)\/1218. Solve 0 = n*s - 56*s - 154 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4*(-4 - 0). Suppose -3*i = d*p - 14, 7 = p - 2*i - i. Solve 5*x - 3 - p = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20221012 + 1?\nAnswer: 20221020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -94*j**2 + 169?\nAnswer: -188*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.96142 tonnes in grams?\nAnswer: 59961420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -32*x - 285. Determine q(-10).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from civcciccciciiccciv. What is prob of picking 1 c and 1 v?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a. Let q(b) = 3. Let t be (9\/(-6))\/((-45)\/(-12)*(-2)\/5). What is t*d(p) + q(p)?\nAnswer: -p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222 (base 3) to base 10.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72413 is divided by 510?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 2194879\nAnswer: 2\/2194879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*q - 564 + 564)*(2*q + 2*q - 3*q) + 2 - 3 - 2*q**2 + 0*q**2.\nAnswer: 6*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 + -38. Let i(x) be the second derivative of 0 + 1\/3*x**4 + 2*x**2 - 1\/21*x**7 + 3*x - 4\/15*x**k + 5\/3*x**3 - 2\/5*x**5. Factor i(u).\nAnswer: -2*(u - 1)*(u + 1)**3*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = r - 16, 3*r - 2*j = -2*r + 114. Let l = 18 - r. Which is smaller: -0.02 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 149.4 + -148.9. Which is the closest to 2? (a) 1 (b) q (c) 1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 + -22. Solve -i + a = -3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51)\/(-1173) - -2*48\/966?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 972748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 4\/23 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g + 5*g - 3*g**2 + 0*g**2 + 4*g**2 - 2*g**2 + (g + 2*g - g)*(-4*g + 3*g - 4*g) + 5*g - g**2 - 3 + 2 - 3*g.\nAnswer: -12*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 - 40. Let a(v) = -v**3 + 7*v**2 - 4*v - 3. Let r be a(7). Let j be -3 + r\/(-3) + 2\/(-6). Is j <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21200 (base 3) to base 12.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 2 in increasing order.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + b**2 - 12. Determine v(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of c**4\/12 - c**3\/3 + 2*c**2 + 2*c. Let f = 7 + -1. Let d(a) = -1. Let t(x) = f*d(x) + 2*s(x). Factor t(u).\nAnswer: 2*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -46*s**2 - 3*s - 1. Calculate t(-1).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.47 and 9.\nAnswer: -4.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msmmms. Give prob of sequence mm.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + 8 + 6*r**3 - 40*r**3 + 0*r + 14*r**3 + 26*r**3.\nAnswer: 6*r**3 + r + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (5 + 273\/(-65))*(-10925)\/(-230)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 2*g**2 - g + 2. Let n be s(2). Suppose n = 2*l - 3*l. Suppose 0 = -2*m + 10, 3*f = 4*m - 14 + 3. Solve -3 = f*j - l for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 42710, 85424, 128138, 170852, 213566?\n\"Answer: 42714*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 1 = 11. Suppose 2*x - 16 = -d*x, -3*a - 17 = -2*x. Let s(b) = -10*b - 2. List the prime factors of s(a).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 e, and 1 f when four letters picked without replacement from eifomnifomoiimeiiie.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 3*x. Let q(z) = -428*z**2 - 9*z - 1. Give q(l) + 3*t(l).\nAnswer: -425*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d\/(d\/(d*d**(-7))))))**(-46)*((d\/(d*d**(-3\/19)))\/d*d)\/(d*d**(9\/7)) assuming d is positive.\nAnswer: d**(36425\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 + 2*p**2 - 2*p**3 + 3*p**4 - 883 + 439 - 2*p + 439 to b*p**3 + d + y*p**4 + q*p**2 + g*p and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/88*(-284)\/24*-3 and -7\/33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -13, -1.1, 3\/23?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)\/(m\/(m*m**(2\/3)*m)))**(8\/9)\/((m**(-1))**33*m\/m**(-3)*m*m*(m\/m**0)\/m) assuming m is positive.\nAnswer: m**(745\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express k**4 + k**3 - 4*k - 3 + 5*k + 2*k as p*k**4 + l + f*k**3 + j*k + h*k**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 less than or equal to 190\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + x - 1. Let q(t) = 3*t**4 + 12*t**3 - 12*t + 18. Let b(s) = -q(s) - 12*v(s). Differentiate b(l) with respect to l.\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by -6248.\nAnswer: 19\/6248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 668730.9 months?\nAnswer: 55.727575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 447*m + 98228. Determine p(-219).\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*f + 4. Is (554 + f)*1\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilometer in centimeters?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 11:26 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - c - 1. Let f(r) = -6*r + 5*r + 7 - 3*r**2 + 0*r + 4*r. Calculate f(h) + 4*o(h).\nAnswer: h**2 - h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*g = -1 + 12, g = 3*p - 23. Solve 0 = -p*b - 6 + 38 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (12 + -8) - (-2)\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(30\/14) - -1. Let x = 223 + -219. What is the biggest value in x, w, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -2 (b) -1.6 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50 + 138. Let u = l - 81. Is u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 5*x + 5, -v + 2*x + 30 = 3*v. Let c = 91 + v. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 h when two letters picked without replacement from hugtthehthttmutgttm.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**2 - 368*j + 10370. What is t(53)?\nAnswer: -707","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197 - 6 = 5*i - 2*o, 3*o = 5*i - 189. Let h = -20 + i. What is the remainder when h is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of 5*l**4\/24 + 7*l**2\/2 - 9*l. Let a(s) be the first derivative of r(s). What is a(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84311 is divided by 219?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (-5*(-1 + sqrt(80)) - (0 + 1 + sqrt(80))))**2 + -2 + -4)*-6.\nAnswer: -17394 + 1440*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 8. Suppose -2*b + 76 = 4*x, b = x - q*x - 22. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252*s = 246*s + 24 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h**2 + 5. Let y = 15 + -22. Suppose 70*q - 71*q = 0. Suppose q = 8*f - 27 - 5. Let p(w) = 2*w**2 + 3. Give f*s(c) + y*p(c).\nAnswer: 2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 37*t**5 - 2*t**3\/3 + 126*t**2 - 473. What is the third derivative of z(i) wrt i?\nAnswer: 4440*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f**(-3)*f*f*f))**21*((f\/(f\/(f**0*f)))\/f*f)**(1\/14) assuming f is positive.\nAnswer: f**(589\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 152 + 33. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 873 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 212*p + 3150. Calculate a(195).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10013 - 110?\nAnswer: 3303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 50825 = 15*u. What is the tens digit of ((-4)\/5)\/(19\/u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3867 - 32*s - 16*s - 2608.\nAnswer: -48*s + 1259","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 173288 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 13*f - 4. Which is smaller: 2\/5 or f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4911222889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.5539 + -2.9449. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -47*c**2 + 2*c - 1. Let n be v(1). Let h = -42 - n. Let r be (5 - h) + 1\/(1 - 0). Solve -6 = -4*q + r for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/351624 and 83\/11914.\nAnswer: 13010088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -348 divided by -11470\nAnswer: 174\/5735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-137)\/6 - 2365\/(-215) - -12. Which is the nearest to 64? (a) 5 (b) v (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b - 258 = -24*b. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**2 - 2*s + 3. Let m(u) = 2*u**2 + 97*u - 6. Determine g(q) + m(q).\nAnswer: -q**2 + 95*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, m: 3, i: 2, v: 4}. What is prob of picking 3 v?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2750)\/1500 - 2\/12)*-12.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffffffxxxfff. Give prob of picking 1 x and 3 f.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (-1 - -3)) + -8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 978 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 3*b - 2*b)*(3*b + 0*b - 4*b + (-5 + 5 + 2)*(-6*b + 3*b + b) + 3*b - 31*b - 18*b).\nAnswer: -102*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6 = 0, -5*k + 3*q = -q - 103. Let a = -184 + 81. Let t = -34 - a. Calculate the highest common factor of t and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/698860 and 41\/100264.\nAnswer: 211055720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n - 3*n + 47838 + 47839 - n - 95677.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 6 + 9. Suppose 2*o - 4*u - 426 = 0, m*u - 1000 = -5*o - 0*o. Is 24 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -360426574657 + l + 360426574657.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/154 and 75\/56.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + -2. Let t be (1 - 2) + (-8)\/x. Let l(o) = -6*o**3 - o**2 - o + 1. Give l(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152.4974t in nanograms?\nAnswer: 152497400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 80\/(-8)*(8 - -2). Let q = 102 + c. Solve -i = 0, 0 = q*l + 2*l - 5*i for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5ede - 5?\nAnswer: -5ee3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17862912 and 116295?\nAnswer: 89314560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 541400330 to the nearest integer?\nAnswer: 23268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 681252218 to the power of 1\/3, to the nearest integer?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 + 27.96. Let v = k - -0.14. Which is the nearest to 1? (a) 4 (b) -3\/7 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470 >= 470?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176906 is divided by 88121?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -158dac (base 15) to base 11.\nAnswer: -652347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, 10, 420, -5 in decreasing order.\nAnswer: 420, 10, -5, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) 0 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = t - 37, -4*k - 2*t + 26 = -0*k. Let f be (3\/k)\/((-8)\/(-192)). Solve -f = -6*z + 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/(-14) - 42\/(-147).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*j**2 + 64*j**2 - 3*j**2 + 1 - 1 + 2*j**2 + (4*j - j - j)*(j + 0*j - 3*j) + j**2 - 2*j**2 + 4*j**2.\nAnswer: 86*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1208*q**5 - 2*q**3*z**2 - 18*q*z**2 + 37*z**2 wrt q.\nAnswer: -24160*q**3 - 12*q*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(187) - (sqrt(187)*-1 + sqrt(187) + sqrt(187))) + sqrt(187)))\/((sqrt(11) + sqrt(99))*-5).\nAnswer: -sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1075*m + 1884206 + 1470*m**2 + 540*m**3 - 352*m + 25*m**4 - 1883741 + 697*m = 0 for m.\nAnswer: -93\/5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(1\/3))**(5\/2)\/((b*b*(b**1*b*b)\/b)\/b)**(-35))**(-10\/3) assuming b is positive.\nAnswer: b**(-3250\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a day?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -906268, -1812537, -2718806, -3625075, -4531344?\nAnswer: -5437613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-25)\/(-42))\/(-5)*(103 + -106). Is z != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19780604 is divided by 6107.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of 1147*h**4\/12 - 789*h**3\/2 + 28*h**2 - 17*h. Differentiate x(q) wrt q.\nAnswer: 2294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28\/3 - -193\/21. Suppose 0 = v - 6*h + 2*h - 13, -4*v - 4*h - 8 = 0. Which is the closest to v? (a) -2\/15 (b) n (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51415 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42748744.\nAnswer: 2, 17, 314329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence txtx when four letters picked without replacement from tettxtxetxxxx.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51.7 - -51.8. What is the nearest to o in -6, 5\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*p**2 - p + 390*p**4 + 493*p**4 - 56*p**2 - 125*p**4 + 1 as n*p**3 + o*p**4 + u*p + w + h*p**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2 + 26*x - 55*x + 25*x + 2*x**2. Suppose 4 = p + 1. Calculate the lowest common multiple of 5 and y(p).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1685 divided by 98?\nAnswer: 1685\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 3:55 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 10:12 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 3*q**2\/8 - 15423*q\/2 + 79289643\/2 = 0.\nAnswer: 10282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 91*o**2 - 33*o**2 - 30*o**2 + 5 - 31*o**2 - 7*o. Let y = -11 - -15. What is h(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5, -37, -57, -59, -37, 15, 103?\n\"Answer: y**3 - 39*y + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2520 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1569442, -0.5, -9.\nAnswer: -9, -0.5, 1569442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 8:05 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 578136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -9. Suppose -3*b = -2*b - 3. Suppose q*v - b*a + 200 = 0, -217 + 17 = 2*v - 2*a. Round v to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5231997 and 30.\nAnswer: 52319970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 0. Let s(w) = -3*w**2 + 3 + 0*w**2 - h. Let d(c) = -3*c**2. Determine d(s(n)).\nAnswer: -27*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3*101547\nAnswer: 304641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 643, 597, 521, 409, 255?\n\"Answer: -f**3 - 9*f**2 - 12*f + 665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - 8 + b + 7)*(-1 - 3 + 5).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p + 2. Let n(j) = j - 1. Let t(u) = 4*n(u) + w(u). Let f be t(-2). Does 27 divide 35 + -2 + (f - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 93 + -29. Suppose o*u - 63*u = 7. Suppose -u*n = -12*n + 865. List the prime factors of n.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 389 - -18. Suppose 1659 - 1992 = -3*d. What is the greatest common factor of d and k?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ik when two letters picked without replacement from {j: 1, z: 5, q: 1, i: 3, k: 3}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5073024217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 80 + -6 + -44 - -43\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -315.6 + 315.1. Put -5, 57, -0.1, y, 0 in decreasing order.\nAnswer: 57, 0, -0.1, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100121220220 (base 3) in base 7?\nAnswer: 1416300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**3 - 16*y**2 + 4*y - 11. Let o be d(8). Solve -5*m = t, o = 4*t - m - 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.174 in 0.095, 0.3, -1, -7, -0.21, 0.06?\nAnswer: 0.095","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*j**4*y - 76*j**4 + 4*j**3 - 1689*j**2 + 6*j*y wrt j?\nAnswer: -96*j*y - 1824*j + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**3\/9 - 73*q**2\/9 - q\/9 + 73\/9 = 0.\nAnswer: -1, 1, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -82.1\nAnswer: -246.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 s when three letters picked without replacement from sspqxpxqqpwsppps?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114, -232, -366, -516, -682, -864?\nAnswer: -1062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-18)*(-1)\/(4\/(-9))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2092, -2066, -2040, -2014, -1988?\n\"Answer: 26*m - 2118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*f, -18*p + 2*f - 22 = -23*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**5\/3 + 4*j**4 + 28*j**3\/3 - 36*j**2 + 24*j = 0 for j.\nAnswer: -3, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2911 in -5, 1, 6, -9\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 405*c + 11. Is b(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -5*j**2 - 24*j - 17. Let v(s) = 2*s + 5. Let q be (18\/27)\/(2\/24). Suppose -q - 20 = 2*a. What is a*v(h) - 3*r(h)?\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 29512, 59819, 90126, 120433?\n\"Answer: 30307*u - 795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l - 4*l**4 + 109*l**2 - 54*l**2 - 52*l**2 + 2*l**4 + 7*l**3 to the form y + s*l**4 + g*l**3 + r*l**2 + k*l and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5 - -7) + -2)\/(10 - 54\/9). Solve x = -2*m + 14*m - 36 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2594.725 - 0.1.\nAnswer: 2594.625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 24*u - 25*u = -13, 8*u + 16 = 120 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 + 20*r**2 - 24*r.\nAnswer: -4*r*(r - 3)*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.2 and -0.14.\nAnswer: -0.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53499407?\nAnswer: 13, 193, 21323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/5)*o**(-8\/9)*o**(3\/11)*o\/(o*o\/o**(-1\/28)) assuming o is positive.\nAnswer: o**(-17351\/13860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = 1789 + 2751. Let f = -4099\/9 - v. Find the common denominator of (-1 + 0)*(-47)\/(-3) and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 53*y**2. Let t(m) = -44359 + 44359 - 3*m. Determine t(i(j)).\nAnswer: -159*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -3, -0.1, -1\/261, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*j + 2*c = -710, 3*c = -3. Let u = j + 19118\/27. Is 1 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2\/7)*((k\/k**2)\/k)\/k*k)**16 assuming k is positive.\nAnswer: k**(-144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 741?\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423533742.\nAnswer: 2, 3, 59, 131, 9133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*0\/(4\/2). Suppose 0*w - 3*w + 333 = u. Is 3\/9*(w - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21449 - 6454. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -88 + 88. Suppose 3*o = -z + 38 - 8, y = -3*z + o + 50. What is the lowest common multiple of 8 and ((-6)\/9 - -1)\/(6\/z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -103 - -102.5. Let o(y) = -y - 2. Let b = 4 + -2. Let l be o(b). Sort f, -2, l in descending order.\nAnswer: f, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**6\/90 + a**5\/15 - 8*a**3\/9 + 12*a**2. Determine k so that q(k) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 9*b - 7*b + b. Let y(m) = 2*m**2. Calculate y(w(f)).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2452 a factor of 119810226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9 - (2 - (-25)\/5). Solve -t = 2*f - 6, 0 = 4*f + 3*t - 10 - c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7013)\/(-5) + 14*7\/245?\nAnswer: 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*f - 2*g + 20 = -82*f, -2*g + 20 = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 99*p - 96*p + 2 - 3 + 1. Give c(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (-4 - (5 + -3)). Let b(k) = 3*k**2 + 2*k + 11. Let r be b(-3). Differentiate -75*n**4 + 37*n**u + r*n**4 + 11 wrt n.\nAnswer: -24*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 - 12*k**2 + 13*k.\nAnswer: -k*(k - 1)*(k + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(66))\/sqrt(2))\/(sqrt(11) - sqrt(2695)\/sqrt(5)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-5)*(-220)\/(-4). Suppose 2*n = 5*m - y, -5*m + 16 - 1 = 5*n. Suppose -18 = -2*h - 3*p, m*p + 9 = -7. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1900) + -1 + -3.\nAnswer: -4 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 4, 23 = -3*y - 16*n + 12*n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 10 = -2*x + 4*y, 5*x - 5*y = 20 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322 = -10*x - 402. Is x not equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 5698693\nAnswer: 1\/5698693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8176 divided by -4?\nAnswer: -2044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 27*z**2 + 30*z + 100. Let q be v(-26). Which is the fourth smallest value? (a) -1\/6 (b) q (c) 3\/2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**6\/w)**(8\/7) assuming w is positive.\nAnswer: w**(40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (455*m - 922*m + 596*m)*(-3*m**2 + 5*m**2 + 2 - m + 0*m**2) to the form o*m + r*m**3 + k + u*m**2 and give u.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 5381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 + 6. Let n be (-3)\/9 + (-3724)\/t. Let f(y) = -2*y + n - 177. Let c(h) = 3*h. Determine f(c(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 164 + -89. Let q be (0 - -3)\/(f\/(-10)). Is -3\/2 >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, o: 7, r: 2}. Give prob of picking 3 o.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*f + (3 - 3 + 2)*(6*f - 2*f - 2*f) - 4*f + 4*f + 2*f)*(15*f**2 + 43*f**2 + 85*f**2).\nAnswer: 572*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 - 2)*(0*x**2 + 3*x**2 - 4*x**2) + (-3 + 4 + 0)*(0*x + 0*x + x**2) - 711 + 66*x**2 + 711 to the form p*x + o + w*x**2 and give w.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*u - 12*u + 18*u + 75 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*m - 4*m + 4*m)*(236*m**2 + 219*m**2 - 527*m**2).\nAnswer: -576*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 324957203 to the power of 1\/5, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 u when three letters picked without replacement from {u: 1, r: 5, c: 1, f: 4, l: 4}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -256, -515, -736, -889, -944, -871, -640?\n\"Answer: 5*y**3 - 11*y**2 - 261*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29722 and 6755000?\nAnswer: 2702","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -g**5\/390 + g**4\/52 - 2*g**3\/39 + 15*g**2. What is u in b(u) = 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 -58078, -61424, -70508, -88198, -117362, -160868, -221584?\n\"Answer: -478*o**3 - o**2 + 3*o - 57602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.85 + 0.15. Let f = g + -7.7. Let q = -8 - -7. Which is the second smallest value? (a) q (b) -4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1 (b) 0 (c) -4\/9 (d) 5061 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 732397562 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -309\/2, -2, -9\/5, 2\/7, -1, 29.\nAnswer: -309\/2, -2, -9\/5, -1, 2\/7, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1 (b) -1\/5 (c) -3\/1834 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 - -21. Let v = -468 - -468. Sort r, -0.3, v in ascending order.\nAnswer: r, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 4:56 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -67*f**3\/6 - 2*f**2 - f - 8. What is the hundreds digit of q(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 13*i**2 + 3*i + 1. Let h be w(-1). Let d = 12 - h. Which is smaller: d or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77 - 41. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.9 + -5.6. Let s = n + 0.7. Which is the third biggest value? (a) -5 (b) -1\/7 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/((t\/t**(-32))\/t)*t**(2\/71) assuming t is positive.\nAnswer: t**(-2199\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 4*s + 93, 5*s - 43 + 216 = -2*a. Let j = -799\/9 - a. Find b such that -16\/9*b + j*b**2 + 32\/9 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -506032, -506037, -506042?\n\"Answer: -5*f - 506027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.32 + -2.5. Let z = f + -0.02. What is the closest to 0.1 in z, -0.3, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ylyy when four letters picked without replacement from {y: 3, l: 12}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1757209, 3514417, 5271625, 7028833, 8786041, 10543249?\n\"Answer: 1757208*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/48*6\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13 + -60?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 12342 = -29*u. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 19*b**2 - 44*b - 46. Let q be (25\/(50\/21))\/((-3)\/6). Give s(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/412095 and 115\/1062.\nAnswer: 145881630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3778 - -3760. Let p be -1 + (1 - -1)*-8. Is p bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 154 and 56.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.076554776 take away 0.2?\nAnswer: -0.276554776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5176477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 518*i*j**2 + 2*i - 392*j wrt j?\nAnswer: 1036*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 8 = 4*w, z + 5*w = -17. Solve z = 2*t + t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*y - 109*y = -152. Solve 0 = y*h - 5*h - 1, 5*r - 28 = 3*h for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*w + 21*w - 14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, m: 1, q: 7, p: 4, c: 1, k: 2}. Give prob of picking 1 m and 2 u.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.9028617 rounded to 1 dp?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 3, n: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -20*g**2 + g + 3. Let n be s(1). Let i(d) = -64*d**2 - 16*d. Let x(v) = 13*v**2 + 3*v. Calculate n*x(c) - 3*i(c).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 190359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*d**3 + 6*d**3 - 7*d**3 + 0*d**3 + 4*d**3 - d**3 + (d**2 - d**2 - d**2)*(d + 2*d - d).\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/118 and 15\/11092.\nAnswer: 11092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2*w + 4*w**2 - 3*w**2 - 2*w**3 + 2*w**2 + 0*w to the form n*w + p*w**2 + x*w**3 + g and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*u + 44*u = -h + 17, 5*h = 687*u - 692*u + 30 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-11)\/3)\/(10389\/(-5193) - -2). Suppose 5*u - d = -4*x, 0*x - x - u = -1586. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 21 = 5*o, 0*b = 5*b - 3*o + 105. Let a be (7\/b)\/((-2)\/4). Factor a + 4\/3*w**2 + 2*w.\nAnswer: 2*(w + 1)*(2*w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13838 is divided by 173.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 4:01 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence top when three letters picked without replacement from toplm.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 + 11146)\/8 + -8. Suppose 924 = 22*x - a. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, -22 in decreasing order.\nAnswer: 6, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 1. Suppose -d + 2 = -r. What are the prime factors of 20\/6*9\/d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13392*r + 23 = 13397*r + 4*i, -14*r - 5*i = 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)*1 - sqrt(70) - sqrt(70))*-4)\/sqrt(10).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -0*d - t - 4, -2*t = 4*d + 6. Calculate the greatest common factor of d and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) -2\/5 (c) -299 (d) -4774\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1082.807 rounded to the nearest 10?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 10:31 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3485864*p - 855075 wrt p.\nAnswer: 3485864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -20. Sort 2, i, 1 in decreasing order.\nAnswer: i, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7913037 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*o + 3*y, 2*y = 5*o + 32 - 41. What is the greatest common factor of o and 1929?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 8:47 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q*q*q**(-2)*q)*q)**(4\/11)*(q\/q**(-4))\/q**(1\/4))\/(q**(-3)*(q*(q*q**(2\/9))\/q)\/q)**(-43) assuming q is positive.\nAnswer: q**(-4129\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l - 24. Let x be c(5). Let r be (22\/x + 1)\/((-50)\/175). What is the third derivative of -5*g**3 + 25*g**2 - 12*g**3 + 0*g**r wrt g?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42525 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1589759*0.133.\nAnswer: -211437.947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -851321, -851319, -851317, -851315, -851313, -851311?\n\"Answer: 2*k - 851323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 258120.7um?\nAnswer: 0.0002581207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -727 divided by -4\nAnswer: 727\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 29 = -3*p, 4*j - 2*p = 7 - 5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 3*a - 4*a = -2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 4, -247?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 73449438376 and -0.01.\nAnswer: 73449438375.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1026 + 1031. Sort -0.5, -4, 0, c, -13\/6 in decreasing order.\nAnswer: c, 0, -0.5, -13\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sb when two letters picked without replacement from {w: 1, s: 6, b: 1, t: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11870 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + -74872.\nAnswer: -74902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -17*q + 15. Is w(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -206, -428, -650, -872, -1094?\nAnswer: -1316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c = 44 + 56. What is the greatest common divisor of c and 145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6214396 and 24.\nAnswer: 37286376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 0, -7, -2, 5 in ascending order.\nAnswer: -7, -2, 0, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1178*d = 1169*d - 43 + 16. Let x(n) = -n**3 - 6*n**2. Let j be x(-6). Is d < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -15\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 10713152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 3 - 3 - 19. Let g be 14\/4*(-12)\/n. Suppose 4*l = 2*h - 10, 0 = -4*l + 3*l. Solve h*b + 18 = -g for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c + 0 - 9 + 2613*c**2 + 4 + 4.\nAnswer: 2613*c**2 - 6*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p - 3. Suppose -7*l = -4*x - 2*l + 98, -2*x + 50 = -2*l. Suppose -33 = 6*o - x. Let s(y) = -y. Give o*u(j) + 4*s(j).\nAnswer: -2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*i**2 - 17 + 33 - 16.\nAnswer: -19*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 10:49 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 5*f - 22 = -f, -9 = 3*f for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/172848 and 85\/41808.\nAnswer: 11580816","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**4 - t**5 + 2*t**4)*(3 + 2 - 3)*(-7 + 6 - 6).\nAnswer: 14*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 9. Let a(v) = -4 + v - 4 + v. Let z be a(i). Let q(f) = f**2 - 7*f + 5. Calculate q(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1776 (b) -1\/37 (c) -0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6 = 5*l - 8, 4*l - 4 = 0. Suppose 7*t + f*t - 1980 = 0. Is t a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 558?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drrdrr. Give prob of sequence dr.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 6:56 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 2*j = 8. Suppose -4*w + w + 2*z + 14 = 0, z = -4*w + 15. Let k be -3 - (w - 4)\/4. Put k, j, 2 in descending order.\nAnswer: 2, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-1))\/((-189)\/(-30)*345\/207)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 3*u**3 + 2269*u**2 - 1471440*u - 490732 = 0?\nAnswer: -1174, -1\/3, 418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.5 - -0.5?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9798 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 225 - 218. Is l greater than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 + 9*w + 21. Let g be d(9). What are the prime factors of (g\/(-35))\/((-2)\/(-392)*1)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97 + 45 + 4*k**2 + 52.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 73, -4, -2, -2\/3 in decreasing order.\nAnswer: 73, 1, -2\/3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 + 2)*(-2*r - 2*r + 2*r) + 4 - 2*r - 4 + 4*r - 3*r - 3*r + (r + r - 4*r)*(4 - 4 + 4))*(r - r + 3*r**2).\nAnswer: -42*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a - 20 = 10*a. Suppose -159 = -a*r + 216. Let q = -72 + r. Put -1, q, 10 in ascending order.\nAnswer: -1, q, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11762*x - 11763*x + 8 = z, 5*x - 34 = z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16344 = -509*k - 453 for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/3 (b) 4 (c) 2 (d) 27 (e) 107\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a meter in millimeters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 - 37. Let t = 18 - 23. Which is the biggest value? (a) 0.1 (b) r (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -132, -195?\nAnswer: -258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 179, 373, 629, 941, 1303, 1709, 2153?\nAnswer: 2629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1332*j**2*y**3 - j**2 + 590*j*y**2 - 2*j*y wrt y?\nAnswer: -7992*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1875 greater than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 2 - 2 - (-50 + 53)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2340 is divided by 82?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a factor of 30174672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-203)\/(-56) - (-29)\/(3248\/42). What is v in 4*v - 2\/11*v**k + 16\/11*v**3 - 16\/11 - 42\/11*v**2 = 0?\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -6, 7, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-2\/3)*d)**(-5\/6))**44)**(-4) assuming d is positive.\nAnswer: d**(1760\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 593*p**2 + 379?\nAnswer: 1186*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.84129 micrometers in millimeters?\nAnswer: 0.00084129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u + 4*y + 15, -5*y - 33 = u - 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -7 - 3*b + 5 + 6 + 102. What is the remainder when 175 is divided by n(20)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: 268 * 0.1\nAnswer: 26.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 51*a + 116. What are the prime factors of n(18)?\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1360)\/952*(-14)\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3*(-4 + (sqrt(2057) - (sqrt(2057) + sqrt(2057) + -2 + 1) - (sqrt(2057) + 0 - sqrt(2057))*2)) + 0)**2.\nAnswer: 594*sqrt(17) + 18589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2*1*(81 - -1) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10066 - 2519 - 2520 - 2515 + m - 2512.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 12 - 27 + 13 - 7 + 84*b - 2 - 79*b.\nAnswer: 5*b - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 177aa (base 11) to base 14\nAnswer: 9125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) + (sqrt(1700) + 1 + sqrt(1700) + sqrt(1700) + 5)**2)*2.\nAnswer: 740*sqrt(17) + 30672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**2 + 2*z**2 - 14*z**2 - 3*z**2.\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -526 + 528. Let p = -8 - -10. Solve 4*o - 11 = 3*l - p*l, -3*l - u*o + 23 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**3 - 86*f**2 - 86*f - 93. Determine l(44).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.15 + -18.85. Let g = c + 16. Put 0.3, -1\/4, g in decreasing order.\nAnswer: 0.3, -1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33805525 by 295.\nAnswer: -114595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-5 - -5 - 1 - -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.032 - 31.968. Let h = y - -30.45. Let d = h + 1.55000067. Round d to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/((-25)\/394)*10\/4. Suppose 14*t - 13 = x. Solve t*h - 15 = 18*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 2*j + 3*j**2)*((5*j - 5*j - 2*j)*(4 + 0 - 5) + 2*j + 4*j - j)*(4 - 3 + 10).\nAnswer: 231*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -212221120022 (base 3) in base 13?\nAnswer: -136706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -3*t - 5, -10*t + 4*p = -8*t + 6 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(33\/15 + -2). Let t(h) = -h + 5. Let r be t(n). What is the derivative of -3*g + r*g + 2*g - 2 wrt g?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14099765 to the nearest integer?\nAnswer: 3755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51588 and 1318360.\nAnswer: 11865240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128812 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -440*a = -448*a + 6088. What are the prime factors of a?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18100774?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -625.479531 rounded to the nearest ten?\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*t - 9. Let p(m) = m**3 + 2*m**2 - 5*m - 3. Let r be p(t). Differentiate w**r + 2 + 2 - 1 with respect to w.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3024\/(-1620) - 4\/30. Put 1, -53, 0, k in decreasing order.\nAnswer: 1, 0, k, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 9, -1, 1, 9455, -5, 0 in increasing order.\nAnswer: -5, -3, -1, 0, 1, 9, 9455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-4\/9)*y*y))\/y)**(-15)\/(y**(-34)\/y)**(2\/19) assuming y is positive.\nAnswer: y**(1540\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1591882 by 5.\nAnswer: 1591882\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 48477 equal to 96951\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -6. Let t(k) = -9 - 379*k**3 + 3 + 2 - 41*k + 229*k**2 + 3. Let y(d) = -1136*d**3 + 686*d**2 - 124*d - 2. Let m(c) = j*y(c) + 11*t(c). Factor m(f).\nAnswer: 3*(5*f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.77996 - 19604?\nAnswer: -19614.77996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*i - 32*i - 5*w = -28845, -3*i + 5*w = -17235. What is the least common multiple of 640 and i?\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7052 by 3526.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 4335291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 178289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28041 greater than 28040?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 3\/8, 2\/15, -1, -179\/3 in increasing order.\nAnswer: -179\/3, -1, -0.06, 2\/15, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -22459 divided by -88\nAnswer: 22459\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 9*b**2 + 31. Let i(l) = -5*l**2 - 16. Let h(t) = -11*i(t) - 6*o(t). What are the prime factors of h(-7)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y - 25. Let f(l) = 1. Let r(d) = d**3 - 6*d**2 - 7*d - 1. Let u be r(7). Let c(q) = u*p(q) - 25*f(q). Let i(w) = -2*w. Determine c(i(b)).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence veze when four letters picked without replacement from zjzjjezzjevevvvj.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -83144*p. Let n be w(-2). Suppose 0 = -3*u - n + 40321. Let i = 97989 + u. What is i rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 - 870024*u - 870022.\nAnswer: -2*(u + 1)*(u + 435011)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5595837 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 3*t + 3. Let m be (-12)\/10*(-25)\/10. Suppose -2*a = 4*y - 2 - 4, -2 = -a - m*y. Suppose 0 = -a*b - 5 + 20. What is i(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -348 by -58.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((2\/(-38))\/1). Let n = d - 13. Let q(l) = l + 4. Let b(o) = 4*o + 30. Let h(v) = -b(v) + 6*q(v). What is h(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - 6*l = -12 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0*-1236\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 616740?\nAnswer: 1233480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 8, 3, -0.2, -4, -14, 79\/5, 0.012?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -5, 5, -167.9, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -32. Let x(z) = -3*z**3 + 4*z**3 - 432*z**2 + 10*z - 8 + 443*z**2. List the prime factors of x(h).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44683158030.69 - 0.09\nAnswer: 44683158030.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 - l + 2. What is v(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 6921 = -d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -8. Let m(j) = -j**3 - 3*j**2 + 2. Let l be m(o). Let v be (9\/6 - l)*6. What is the greatest common factor of 168 and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69 - (-128 - -135 - (-1 + (-3 - -3)))\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 4551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.0789? (a) -4280 (b) -0.1 (c) 0 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 7:27 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-38 - -14) + (-4 - 0).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34595545 a multiple of 409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(931) + sqrt(19)) + -4 - (-4 + sqrt(19)*2 + -5*(sqrt(95)\/sqrt(5))**2).\nAnswer: 95 + 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -24*g + 2. Let t(f) = -325*f + 10. What is -4*l(z) + t(z)?\nAnswer: -229*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 - 13*s + 29 - 52 - 13*s**2 + 9*s**2 in the form i*s + f + l*s**2 and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5158 + 15419. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -27*t**3 + 33*t**2 - 18*t - 48. Let f(i) = 7*i**3 - 8*i**2 + 5*i + 12. Let p(o) = -15*f(o) - 4*q(o). Suppose p(l) = 0. What is l?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*d - 130*d = -190*d + 9318 + 2499 for d.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4789\/14276 + -65\/83. Find the common denominator of -27\/31 and s.\nAnswer: 5332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 - 527121*u**2 - 9488907*u - 42701175.\nAnswer: 3*(u - 175725)*(u + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/2)\/(4\/(-40)). Let b(v) = -v - 2. Let x be b(w). Suppose -x*q + 0 = -6. What is the highest common divisor of q and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-2) - 12) + 8. Solve 4*i - 9 - 7 = m for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -39. Let a(g) = -49*g + 54. Let k(q) = -a(q) + 6*c(q). Give k(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 20 = -3*d, 3*x - d = -2*x + 14. Suppose x*q + 8 + 28 = 0. Let z = q - -21. Calculate the remainder when z is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 7 - (-19 + 13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20793011 is divided by 756?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 + -26. Calculate the greatest common divisor of d and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) 2 (b) -4 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3 (b) 0.01 (c) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m**2 - 11*m - 288. Let d(u) = 13*u**2 - 33*u - 866. Let l(z) = 3*d(z) - 10*f(z). Differentiate l(i) with respect to i.\nAnswer: -2*i + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 36*x**3 + x**2 + 74*x + 149. Give t(-2).\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000100111000011101 (base 2) to base 16.\nAnswer: -c4e1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4*z - 52, 2*b - 5*z = -0*b - 37. Suppose -4*r + 22 = 4*s + 10, 0 = r - 2*s - 3. Put -0.3, r, b in ascending order.\nAnswer: b, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 - 2107*q**2 - 2051*q**2 + 4158*q**2.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**1))**(2\/29))**(-3) assuming d is positive.\nAnswer: d**(6\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 184636477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 8*p + 4. Let w be x(8). Suppose w*j = -5*g + 16, -2*g - j = 2*g - 4. Suppose g = b - 8 - 29. What are the prime factors of b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, -126861, -0.1, -1, 0.4, -2\/29?\nAnswer: -126861","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 4*u**2 - 7*u - 4. Let x be w(-4). Is 15 a factor of x - (-4)\/4 - -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19756\/(-286462))\/((-1)\/(-58))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8c1851b - 3?\nAnswer: 8c18518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = z + 2. Suppose l + 4 - z = 0. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/10 + (-13)\/(-5). Let s(q) = -q**2 - 12*q - 40. Let p be s(-6). Let b be (-10 - -3 - p) + 6. Solve 5*y = -f + 9, -y = -o*f - b*y + 14 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20266*b - 86540 + 284025 - 2788461 = 2070*b for b.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/((-16)\/(-20)) + 0. Let d(q) = -q**2 - 4*q + 5. Let l be d(o). Suppose -4*g = -l*p + 2*p - 186, p - 89 = -3*g. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 0)\/3 + (-2 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 8:44 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7989361 a multiple of 573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 51*f**2 - 8*f - 28. Calculate n(-51).\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55682 - -312633. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zk when two letters picked without replacement from kzzkz.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 168*g**2 - 3700*g + 199. Calculate q(26).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*i - 3036 + 552 - 2641 = 860 for i.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times -0.57?\nAnswer: 0.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of 1\/120*y**6 + 0*y**3 + 0*y + 3*y**2 + 1\/30*y**5 + 0 + 0*y**4. Factor z(g).\nAnswer: g**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 29788, -38 in increasing order.\nAnswer: -38, -5, -1, 29788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of n**2 + 3. Let c(a) = 6 - 6 - 3*a**2. Determine c(f(j)).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 171\/(-54) - (-1)\/6. Is -4 at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/(85\/(-102))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(6)\/sqrt(2))*6.\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 16\/5 (b) 351 (c) 6 (d) -4\/3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 2*i - 46. Let l be 3\/6*5*i\/540. Factor 0 - 2\/9*v**3 - l*v**2 + 0*v.\nAnswer: -2*v**2*(v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5*a**3 + 9*a**2 - 40*a - 422. What are the prime factors of z(-23)?\nAnswer: 2, 7, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -1\/4, -2155, -2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181020.\nAnswer: 2, 3, 5, 7, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 2*f - 6429, 2*f = -2*f + 2*x + 12846. Is f a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 844*m*t*v + 5907161*m*t - m*v - 3*m + t*v + 30954*v - 5 with respect to v.\nAnswer: 844*m*t - m + t + 30954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 90386638*p**2 - 64816*p - 1076 wrt p.\nAnswer: 180773276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80607311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 413369561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57359 = 604*h + 795*h for h.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 8*i**2 - 13*i - 2. Let n be l(-6). Solve 0 = -n*v - 7 + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 81 in decreasing order.\nAnswer: 81, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 15 = 3*l. Suppose -n = -5*n - 4*v + 60, v - 39 = -l*n. Solve 5*o = 5*u - 22 - 18, n = -3*o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(2) + (1*sqrt(6))\/sqrt(3) + sqrt(2) + (1*sqrt(12))\/sqrt(6))*5 + -3.\nAnswer: -3 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8c8d1 (base 16) in base 6?\nAnswer: 20201133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -160 and -2.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9134 - 164279\/18. Suppose -233 = 3*w + 139. Calculate the common denominator of o and w\/18 - 21\/(-14).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -375 - -435. Suppose -67*v + 14 = -p*v. Solve v*f + 0*f - 2*o = -6, 2*o = 5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10495274795 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6881 (base 15) to base 10.\nAnswer: -22171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.559101 litres?\nAnswer: 2559.101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/5 - 61*b**2\/5 - 476*b\/5 - 416\/5.\nAnswer: -(b + 1)*(b + 8)*(b + 52)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3131775553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 43951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 25*n**2 - 16*n + 5*n + 3 + 11*n**3 + 4.\nAnswer: 11*n**3 - 25*n**2 - 11*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from {x: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.554237 weeks in microseconds?\nAnswer: 4568802537600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - 5*v - 3*r + 7*r + 36, -4*v + 1338 - 1311 = -r for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 14 = 2*z, -5*z - f + 6 = 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.13985 months in decades?\nAnswer: 0.43449875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-73956)\/(-67793))\/(5\/11).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2. Let c(y) = -2 + 2 - 3*y**2 - 2*y**2. Give c(w(v)).\nAnswer: -5*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 6:06 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 5. Suppose 0*u - 4*u + x*f = -100, -5*u + 4*f = -126. Suppose -64 = -4*g - 0*g. What is the least common multiple of g and u?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 423 and 166401902?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1114 and 657.\nAnswer: -457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 485 + -278. Suppose 259 = -4*s + k. Put -5, 0, s, 4 in descending order.\nAnswer: 4, 0, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6383\/57285 - 2\/6365. Let j = 3842\/15 - 256. Put 4, -2, u, j in descending order.\nAnswer: 4, j, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in decades?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(10)*-4) - (sqrt(49)\/sqrt(7) - sqrt(7))*-3.\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1686699 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 689 is divided by 164.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 308 and 476?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 + 76. Calculate the remainder when m is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 24*i**2 + 95*i - 1. Calculate j(-19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a day in hours?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -92 + 2?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vrrrrrvrrvrvrr. What is prob of picking 2 r and 2 v?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 263 - 4?\nAnswer: 25a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39874599?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 13, 21.\nAnswer: -2, 2, 13, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2057 and 2904726.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, -85, 286 in decreasing order.\nAnswer: 286, 67, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 77852 = 2*r - 55762, -3*q - 5*r + 200433 = 0. List the prime factors of q.\nAnswer: 3, 7, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 331536?\nAnswer: 331536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -k**3\/3 - 2*k**2 + 3*k - 3. Let h be u(-5). Is 3\/(h\/((-52)\/6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001100110 (base 2) in base 8?\nAnswer: 2146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, v: 3, x: 2, c: 1, q: 4, b: 2}. What is prob of sequence bv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -15, 3, -11668, -3 in decreasing order.\nAnswer: 4, 3, 0, -3, -15, -11668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -13 - 284*g + 290*g + g**2 + 5. Suppose y + f - 29 = 5*y, 32 = -4*y + 4*f. What is r(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/6 - -1)\/(3\/207). Let v = t + 35. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.087, 9, 20, -2\/5?\nAnswer: -0.087","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 3166555\/8, -0.4 in ascending order.\nAnswer: -5, -1, -0.4, 3166555\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 100110001110?\nAnswer: -100110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -3 - 12 - -7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-8\/5)\/((f**(-3)\/f)\/f) assuming f is positive.\nAnswer: f**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 3*l - 1 - l)*(-2 + 2 - 4*l)*(-9 + 6 - 7).\nAnswer: -40*l**2 - 40*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.07, 8, -1\/4 in descending order.\nAnswer: 8, 5, -0.07, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(1\/4))**(-1\/19))**(-14\/3) assuming m is positive.\nAnswer: m**(7\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 3*h**2 + 11*h + 3. Determine t(-6).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14021253?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-285*w - 650*w - 1 - 121*w)*(4*w - 5 + 3 + 4) to the form v*w**2 + q + f*w and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1364660966 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/395623 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 - 350 = -4*t. Suppose -r + t - 13 = 0. What are the prime factors of r?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p**4 + 339*p**3 - 42402*p**2 - 114924*p - 57672 = 0.\nAnswer: -89, -2, -2\/3, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-15) + 2 + -19 + (-79572)\/(-4500).\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9126\/7605)\/(((-26)\/(-5))\/((-8)\/6)).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 17350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 100\/81321?\nAnswer: 100\/81321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-112)\/(-12))\/(-7)*-1. Let s = -77 - -80. Factor p + 3*u**4 + 37\/3*u**2 - 20\/3*u - 10*u**s.\nAnswer: (u - 1)**2*(3*u - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-6))\/(4\/24). Let l = c - -30. Suppose 8*i = -l - 54. Is i != -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**7\/280 - 321*h**6\/80 + 24*h**5 - 959*h**4\/16 + 639*h**3\/8 - 14*h**2 - 230*h. Find j such that b(j) = 0.\nAnswer: 1, 639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4921794*c*d*x**3 + 1007*d*x**3 - d*x**2 + 152*d*x + 2*x**3 - x wrt c.\nAnswer: -4921794*d*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**5\/60 + s**2. Suppose -4*l + 8*l + 2 = -b, -4*l - 4 = 0. Let x(v) = -74*v**2 + 149*v**b - 76*v**2. Calculate x(k(r)).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0 - 3 = 0. Let p(m) = -2*m - 2. Let a be p(0). Sort 0, c, a.\nAnswer: c, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(6\/7))\/b**(-9)*(b*b\/((b*b**(2\/5)\/b)\/b)*b)\/b*b**18 assuming b is positive.\nAnswer: b**(1041\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(3 + 2*sqrt(1700) + (sqrt(1700) - (-2*sqrt(1700) + 0)))*2)**2.\nAnswer: 30000*sqrt(17) + 4250900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -4*t**3\/3 + 4*t**2 + 9. Let n(c) = 0. What is c?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by 22754\nAnswer: -25\/22754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -3*o + 4, -3*o + 8*u - 6*u + 70 = -9*o + 6*u for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 1)*9\/3. Suppose -k*l + 10*r = 5*r - 143, -160 = -4*l - r. Suppose 0 = 3*x - 28 - l. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 l when two letters picked without replacement from {j: 3, u: 1, f: 5, l: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 9*n**2 - 9*n + 8. Let z be g(8). Let t = -37\/221 + -5\/17. Is z at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*l - 1104 - 581 = 754 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 > -455?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21822806.7 microseconds to days.\nAnswer: 0.00025257878125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6358198 divided by 11.\nAnswer: 578018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -93995*c**2*n**3 - 8848866*c**2 - 55*n**4 wrt n.\nAnswer: -281985*c**2*n**2 - 220*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**13*q*q*q)**(-32) assuming q is positive.\nAnswer: q**(-512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 2. Find the second derivative of t*p**3 - 4*p + 5*p**2 + p - 5*p**2 wrt p.\nAnswer: 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-4) + (-759)\/12. Let h = r + 66. Suppose l = h*v - 8, -1 = -2*v + l + 5. Solve v = 2*u - 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -8*r**3 + 2*r**2. Let b be v(-1). Is b less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 2. Sort i, -154, -1\/3, -0.3 in decreasing order.\nAnswer: i, -0.3, -1\/3, -154","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 18*g**2 + 9*g + 7. Let m(f) = -9*f**2 - 4*f - 3. Determine -2*i(n) - 5*m(n).\nAnswer: 9*n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 30 = -o - m, 5*m + 25 = 0. What is the least common multiple of 32 and o?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -335 + 329.2. What is i rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 51 and 47 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*l**2*n**2 - 136*l**2*n - l**2 + 2*l + 575 wrt n.\nAnswer: 6*l**2*n - 136*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**3\/3 + 13*m**2 + 3*m. Let a be s(12). Let j(v) = -v + 1. Give j(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/3)\/(659\/9885)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -69, -116, -183, -276, -401?\nAnswer: -564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 9*a**2 + 2*a + 14. Suppose 2*k - 5*k - 27 = 0. Let j be v(k). Which is smaller: -16\/3 or j?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, -4, -1\/2, -3587, 1\/4, 2 in descending order.\nAnswer: 2, 1\/4, -1\/2, -4, -71, -3587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-10))\/(7\/35). Is ((-2)\/n)\/((12\/3)\/(-7572)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**3 + 196*d**2 - 5795*d + 5600 = 0. Calculate d.\nAnswer: 1, 35, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + 4 + -5 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15.82 in -19, -15\/2, -10?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3533*p = 185*p - 107822 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l + 2. Let n(q) = 2*q + 12. Let o be (-8)\/(-10)*10\/(-2). Let d be n(o). Calculate j(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*k + k + 9*k + 11*k - 2.\nAnswer: -14*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y + 57. What is the least common multiple of z(14) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2829414 divided by 58.\nAnswer: 48783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14094866 by 8.\nAnswer: -7047433\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-28)*12\/(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**3\/6 + u**2\/2 - 3*u. Let y be t(-3). Find the second derivative of q - 4*q - q**y + 4*q - 3*q wrt q.\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-2\/5)*y*y*y*y*(y\/(y\/(y*y**(3\/2)*y))*y*y)\/y*y*y*y*y**(-2\/3)*y*(y\/(y*y**2*y))\/y)**(-31))**(-5) assuming y is positive.\nAnswer: y**(8587\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3247 + -29257\/9. Let x = -40\/9 - k. Which is the nearest to 1? (a) -4 (b) 1\/21 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3*r + 21 = 0, -3*r = -r + 6. Does 3 divide (-6 + 1 + h)\/(1\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*v + 16, -5 = -4*v - 1. Let a be 3\/(6\/c) - 3. Sort 1, 0.1, a in decreasing order.\nAnswer: 1, a, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 163 - 3?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4222?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 8*k + 12. Let w(t) = t**2 - 2*t. Suppose 3*m + 2*y - 4*y = 12, 0 = 4*y. Let p(f) = m*w(f) - n(f). Factor p(o).\nAnswer: (o - 6)*(3*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 17*p**2 + 16*p + 10. Calculate the least common multiple of 15 and i(-16).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/1108 and 13\/32?\nAnswer: 8864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = r - 28, 0 = 2*r - 843*a + 840*a - 42 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 - 2*l**2 + 2*l**2 + (-2*l + 3*l**2 + 2*l)*(3 + 1 - 5))*(-2 - 188 - 7*l + 8*l + (0 + 1 + 0)*(-3*l + 4*l + 0*l) - l - l + 3*l).\nAnswer: -12*l**3 + 760*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 235757, 235755, 235753, 235751?\nAnswer: 235749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1030142 (base 5) in base 13?\nAnswer: -7caa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + (20637\/5)\/(28\/140) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1466.0966 - -1467. What is k rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + 11*o - 25. Let s = o + -31. Let f = s - -42. What is the remainder when 47 is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.01 or 32592844?\nAnswer: 32592844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131031301033 + 1?\nAnswer: -131031301032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 8*t = 3*t - 3, -2*v = -0*t + 4*t - 95 + 93 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 22*w - 40. Let t be c(2). Find p, given that 0 - p + 3\/2*p**t + 2*p**3 - 1\/2*p**2 = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -0.5 (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1208*m**2 - m**3 + 6*m**3 - 1030*m**2 + 425*m**2 + 203*m**2.\nAnswer: 5*m**2*(m - 322)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/34507 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1202 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of y**4\/10 - 2*y**3\/3 + 2*y**2\/5 + 16*y\/5 - 2283. Factor q(r).\nAnswer: 2*(r - 4)*(r - 2)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -4859d0e?\nAnswer: 4859d0f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xhh when three letters picked without replacement from {b: 3, x: 3, h: 4, s: 4}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2654864.\nAnswer: 2, 73, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 12*w**2. Let x(o) = o**2 - 4*o. Let b(n) = 5*n - 23. Let t be b(5). Let p(m) = 2*m**2 - 6*m. Let g(l) = t*p(l) - 3*x(l). Calculate g(v(z)).\nAnswer: 144*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*j - 32*j + 79*j.\nAnswer: -32*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8818707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9952, 9955, 9970, 10003, 10060, 10147, 10270, 10435?\nAnswer: 10648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2436598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*x + 76 = -100 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.88391 to 1 dp.\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*x = -118. Suppose -5*b - y = -95, -2*b + x = -2*y + 21. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.037221701 + -250.038491701. Let g = 250 + q. Round g to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/((-100)\/190) - 19. Sort -2, f, -5, 4\/303.\nAnswer: -5, -2, f, 4\/303","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70319937 to the power of 1\/3, to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1434309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27946 divided by 13973.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 110 + -0.0016701291.\nAnswer: 109.9983298709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1659537 rounded to the nearest ten thousand?\nAnswer: -1660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10858 + 20138. List 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 a(v) = -2*v. Let z(r) = 7 - 16 - 3*r**2 + 2*r**2 + 4. Determine a(z(u)).\nAnswer: 2*u**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence go when two letters picked without replacement from oogeooooeoeoreoeo.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.6 (b) -1 (c) 48 (d) -127\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2141.47 from -27.\nAnswer: -2168.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -6*k + 13. Let o(r) = -7*r + 12. Let f(j) = 4*o(j) - 5*q(j). Calculate the remainder when f(12) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26855187101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1*(-970)\/(-5))\/(6\/510)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 181949 - 28384181\/156. What is the common denominator of g and 167\/390?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/424 and 89\/153539092.\nAnswer: 307078184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43160260 and 858.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -964, -1929, -2892, -3853?\n\"Answer: z**2 - 968*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -1351313615071.\nAnswer: -1351313615070.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 1991*i. What is the thousands digit of n(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 + 16261a3?\nAnswer: 1626200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + k**2 + 1. Let a(u) = 9*u**3 + 15*u**2 - 7*u + 8. Let v(o) = 4*o**3 + 7*o**2 - 3*o + 4. Let d(g) = 3*a(g) - 7*v(g). Determine d(j) + 4*m(j).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7231270 is divided by 1122.\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -3*o + 161, 2*i - 7 - 70 = 3*o. What is the lowest common multiple of 8 and i?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/105)\/(16\/10)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62 - -245\/4. Let j be ((-11)\/(-33))\/((-14)\/(-411)). Let i = -135\/56 + j. What is the common denominator of i and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**9*q**(3\/2))**(-10) assuming q is positive.\nAnswer: q**(-105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 12\/25 of a micrometer?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**4\/3 - 68*v**3\/3 + 120*v**2 - 144*v - 288 = 0 for v.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 4*f**2 + 18*f - 10. Let k be d(6). Solve 30*q - 4 = k*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*a**3*g - 4*a**2*g + 20*a*g - 3*a - g wrt a.\nAnswer: -24*a*g - 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47631 - 47587. Suppose -h = -0*h + u - 1, 15 = -5*h + 5*u. Calculate the remainder when z is divided by -1*(-14 - h\/(-1)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*x + 201. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 4:57 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 + 50 - 34 - 7*n**2 - 82*n + 86*n - 5*n**4 + 5*n**2 as i*n + u*n**2 + j + c*n**3 + q*n**4 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 1 - 3)*(0 - 1 + 2) + 1 - 1 + 1)*(24 - 8 - 14)*(-3*v - v + 6*v) - 17*v - 2*v + 76*v.\nAnswer: 65*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09359 - 2.\nAnswer: -1.90641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -927.9996904 + 928. Round z to five decimal places.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28080 - 0?\nAnswer: 28080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4595 a factor of 1064624740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**9)\/i**4)\/((i**(3\/2)\/i*i)\/(i\/(i\/(i\/i**(13\/4))))))**(-1\/59) assuming i is positive.\nAnswer: i**(63\/236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 1. Let f be c(0). What is the common denominator of (-1)\/2*(15 + f) and 1*-41 - (-2 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.26 + 0.14. Put 3, -2, o, -20 in decreasing order.\nAnswer: 3, o, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*0.21.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 49 (base 16) to base 7\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 231002*b**3 - 80876*b + 1 wrt b.\nAnswer: 1386012*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 63 - 54. What is the closest to -2 in l, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30 - 10\/((-10)\/(-5)). Suppose 341 = h*a - 384. Which is smaller: 28 or a?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -21.3. Let f = o - -0.95. Let l = -0.05 - f. Sort 0.02, 3, l in descending order.\nAnswer: 3, l, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 624 and 8346?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rnstwnstnnhh. Give prob of sequence nhts.\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 * 3735.\nAnswer: 2614.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 346, 370, 396, 424, 454, 486?\nAnswer: 520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/3)\/(78\/18). Let v = -10.7 - 2.3. Let j = 15 + v. What is the nearest to j in -2, -0.2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44\/15 - -338\/105. Which is smaller: 0.101 or l?\nAnswer: 0.101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 71*o + 9. Let l be y(-4). Let q = -116 - l. List the prime factors of q.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/1188204 and -97\/66?\nAnswer: 13070244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j + 3985197438 - 3985197438.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r - r**2 + 4*r)*(-r - 4*r + 3*r) - 78 + 78 + 19*r**3 + (-r**2 + 2 - 2)*(r + 2*r - 2*r).\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 141292916*y**3 - 2957*y**2 - 2*y - 9006 wrt y.\nAnswer: 847757496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 103*j - 6. Let b(a) = 103*a - 5. Let d(w) = 7*b(w) - 6*x(w). Is d(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhqqrxihhqqsqsh. What is prob of picking 1 x, 1 i, and 2 h?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + -10 - -3 - -11)*(-2)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51314 (base 7) to base 4.\nAnswer: 3003122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 minus 5626.3?\nAnswer: -5697.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 21, -0.5, -0.08 in ascending order.\nAnswer: -0.5, -2\/13, -0.08, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112267?\nAnswer: 131, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (537 + 36*h**2 - 537)*(-h + 3*h - 4*h) + (-h + 1 - 1)*(h**2 + 5*h**2 - 5*h**2).\nAnswer: -73*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 25*c - 247. Calculate d(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233 = 5*r + 4*o, -13 = -o - 16. What is the greatest common divisor of r and 679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59050*j + 59053*j = 11*n + 788, 0*j + 209 = 2*j - 3*n for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 30 (c) -1 (d) 0.098 (e) -0.4 (f) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (10 + (-11 - (23\/2 - 17)))*(-728)\/42\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 - 0?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4615471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 333\/4999 or -1?\nAnswer: 333\/4999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 1) + -60 + 57 + -14 + 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 + 50. Let x be 7 - ((-1)\/(-1) + 0). Let k(o) = o**3 - 7*o**2 + 5*o + 3. Let w be k(x). Put w, l, -1 in decreasing order.\nAnswer: -1, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 b, and 1 u when four letters picked without replacement from bbubbvaoauoouu.\nAnswer: 48\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 530960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3, -6, -13, -24, -39, -58, -81?\n\"Answer: -2*n**2 + 3*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-6) - -3) + -3. Let v be 2 - (6*-1 + -1). Suppose 5*y = -2*r - r - v, 4*r = -5*y - 12. What is the nearest to 1\/2 in 0.4, r, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 773951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5453, 7235, 9021, 10811, 12605, 14403?\nAnswer: 16205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 7*u**2 - 6*u + 10. Suppose -3*m + 5*m - 3 = -3*h, 0 = 5*m + 3*h + 15. Let t = 2 - m. What is the units digit of w(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-five halves of a century?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1564973?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -50, -5, 116, 337, 682, 1175?\nAnswer: 1840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14, 39, 76, 119, 162?\n\"Answer: -n**3 + 12*n**2 - 4*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8762, 35075, 78926, 140309, 219218, 315647, 429590, 561041?\n\"Answer: -u**3 + 8775*u**2 - 5*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**2 + 3*b + 5. Does 22 divide q(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 12 = -3*c, 4 = -c + y - 4*y. Let n be 4 - 0*(-2)\/c. Let d be (5 - -1 - 0) + -1. Solve d*m - 5 = 3*t, n*t - 3*m - 1 = -4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 8*u**3 - 9*u**2 + 6*u + 7. Let f(q) = 7*q**3 - 8*q**2 + 5*q + 6. Suppose -12 = -2*v + 4*r, -5*r + 0*r = 5*v - 30. Calculate v*b(s) - 7*f(s).\nAnswer: -s**3 + 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 i when two letters picked without replacement from ddxhddihd?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2353*g + 2353*g + 2*g**3 + 8*g**2 as a + p*g**2 + r*g**3 + b*g and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1242335 is divided by 96.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 6*t. Let q be ((-48)\/(-8))\/(1 + -2). Let d(g) be the third derivative of -7*g**4\/24 + 5*g**2. Determine q*s(h) - 5*d(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -u - 2*u. Suppose -o = u - 0. Let n = o - -12. Solve 3*h = i, 2 - n = -2*i + 2*h for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40395878\/1411683 - 2\/108591. Does k = 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k + 2 = 13*k. Let n(a) = a**3 + 3*a**2 - 2*a + 3. Let r(i) = 73*i**3 + i**2. What is the remainder when r(1) is divided by n(k)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**2 + 0*j**2 - 3*j**2.\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**3 - 11*t**2 - 4*t + 15. Determine d(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 + 27. Let x(u) = -2*u + 3 - 3. Let c(p) = -4*p. Let m(s) = z*c(s) + 5*x(s). Let q(g) = -3*g. What is m(q(t))?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000349 rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.01 (b) 5 (c) 0 (d) -0.2 (e) 0.15 (f) 355 (g) -14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l - 90*l**3 - 101*l**3 + 0*l + 266*l**3 - 83*l**3.\nAnswer: -8*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1881 greater than or equal to 1.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6656432 months in centuries?\nAnswer: 0.001388036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.8 + 5.2. Let t = -6 - -5. Suppose p - 7*m = -4*m, m + 10 = -3*p. Which is the smallest value? (a) l (b) p (c) t (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*o = 159*o - 80*o + 1044. Let -3\/2*w**2 + o*w - 216 = 0. What is w?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 2:55 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 922115 is divided by 771?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 173.4 + -173. Which is the closest to 0.09? (a) 4 (b) s (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/sqrt(12) + sqrt(14)\/(sqrt(28)\/sqrt(4)) - (sqrt(200) + sqrt(16)\/sqrt(2)))**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 817 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74619.\nAnswer: 3, 8291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38493)\/(-27495))\/(14\/(-8)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, -2\/7, -93, -2\/19 in ascending order.\nAnswer: -93, -2\/7, -2\/19, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 5) to base 15\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w*w**(-5\/4))\/w*w)\/w**(-6\/11))\/((w\/(w**(-2\/5)\/w))\/w)**(-2\/67))**42 assuming w is positive.\nAnswer: w**(413931\/7370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 7*o - 235744 = w, 12 = 3*w. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121508441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -9, -5, -1\/7, 4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*29.\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = c + 3*y - 0*y, 0 = 2*c - 5*y - 8. Let d(r) = 2*r**3 - 3*r + 2. Let m(j) = 3 - j + j**3 + 0 - 2. What is c*m(t) + d(t)?\nAnswer: t**3 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 4 + 1\/42*s**4 + s**2 - 8\/21*s**3 + 7*s. Factor b(t).\nAnswer: 2*(t - 7)*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-118)\/8 - (-4)\/(-16). Let u = -47 - -45. What is the nearest to 1 in u, o, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -9, 3, -5, -2\/5, 294, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kpkpkwwff. What is prob of picking 1 f, 2 p, and 1 w?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*l = 18. Let v be 35\/21 + (-2)\/l. Solve -3*x = -v*y + 2, x + y - 6*y - 8 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 15, b: 2, w: 3}. Give prob of sequence zb.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 2*t - 18 + 9)*(79*t**4 + 16*t**4 + 9*t**4)*(1 + 1 - 1).\nAnswer: 208*t**5 + 416*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2455 is divided by 133?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4947, -9934, -14957, -20022, -25135?\n\"Answer: -w**3 - 12*w**2 - 4944*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**3 - 37*j**2 - 44*j + 24. Let q(k) = -k**2 - k - 1. Let u(x) = -2*q(x) + t(x). Is u(19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 10*o - 80 = 0. Calculate the remainder when 75 is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3*sqrt(240)\/(sqrt(16)\/sqrt(2)))\/((sqrt(10) + sqrt(250)*2)*6).\nAnswer: 3*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 6*m**2 - 6*m - 3. Let t be v(7). Suppose -2*a = -8, -5*i = t*a - 3*a - 54. What is the highest common factor of i and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ony when three letters picked without replacement from {o: 8, y: 4, n: 5, h: 2}.\nAnswer: 80\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + sqrt(200)*-1 + sqrt(200))\/(sqrt(250) - (sqrt(250) + sqrt(250)*2)).\nAnswer: -sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(2\/47))\/(b**(-3)*b*b) assuming b is positive.\nAnswer: b**(92\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -f**4\/5 + 44*f**3\/15 - 78*f**2\/5 + 36*f - 96. Factor d(x).\nAnswer: -4*(x - 5)*(x - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41400?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.19 in 2\/7, 117\/20, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 2*u + 6*u - 6*u + 299 + 163.\nAnswer: 2*u + 473","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 8, p: 3, d: 5, j: 1, i: 1, r: 2}. What is prob of picking 1 r and 1 j?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 82a + 2?\nAnswer: 82c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4 - 24*x**3 - 99*x**2 - 12*x + 132.\nAnswer: 3*(x - 11)*(x - 1)*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 913657929?\nAnswer: 3, 547, 556769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 3*n**2 + 12*n - 19. Let f be t(2). Is -2\/697 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 5*n - 4. Let y be p(-6). Let u = 3 + 4. Suppose 3*a - u = -h + 1, h = -y*a + 6. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -314*m - 45. Let g be s(-4). Let u = g - 132000\/109. Is -1 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81 and 216?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 2:42 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 5*v + 1. Suppose -7*y - 65 = 6*y. Determine j(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.6 - -1.4. Let j = 7 - o. Let p = -1.2 + j. Which is the third smallest value? (a) p (b) -5 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**6\/2160 - q**5\/240 + q**4\/36 + 13*q**3\/2 - 25*q**2. Let f(c) be the first derivative of z(c). Solve f(m) = 0 for m.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9483.\nAnswer: 3, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 2*v - 102 = 0, -475 + 519 = -3*a + 5*v for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 5) + 7 + 2 + -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -594.56 less than -30467?\nAnswer: -29872.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 36 = -2*t - t, 0 = t - 3*s + 2. Let l = 0.11 - 8.11. Let r = 8.4 + l. Which is the second biggest value? (a) r (b) t (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66*b**4*n**3 - 166*b**4 - 1238*b**2*n**3 + 2*b**2*n wrt b.\nAnswer: -1584*b*n**3 - 3984*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -4*i - 5*n - 4, 0 = i + 8*n - 25 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-1)*((z**5\/z)\/z)\/z)**(-3\/10))**(-1\/21))**21 assuming z is positive.\nAnswer: z**(3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 15505532 divided by 553769\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -4. Suppose -232 = -x*v - 20. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -7*o**2\/3 - 671948*o + 575956\/3 = 0.\nAnswer: -287978, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(32 + -1 + -1). Let f = m - -2. Is f*(15\/(-6))\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 704.533 micrometers to nanometers.\nAnswer: 704533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97241 is divided by 1288?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 52 + 36. Suppose -b*j + 17*j + 20 = 0. Suppose -5*f + 16 = 1. Solve -r - f*r + j = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*y = 9*y - 1049580. List the prime factors of y.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**3 + 5328*k**2 + 118668*k = 0. Calculate k.\nAnswer: -22, 0, 1798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -2*r + 17, -4*r + 5971 = -b + 5922 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(420)*-3 - sqrt(420))\/sqrt(12))\/(5*(sqrt(5) + sqrt(20))).\nAnswer: -4*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58279 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/36 and -6*(-3830)\/4080 + 1 + -7.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 4 + -958 + 1002.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/87)\/i*i**(1\/6) assuming i is positive.\nAnswer: i**(-47\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 4) to base 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 17. Let n be z(-9). What is the first derivative of -13*h**4 - n - 12*h**2 + 12*h**2 wrt h?\nAnswer: -52*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7273.509 months to millennia.\nAnswer: 0.60612575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13338 and 1620.\nAnswer: 400140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkt when three letters picked without replacement from {t: 3, k: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3554682 weeks to nanoseconds.\nAnswer: 214987167360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-816)\/(-9) - 8*8\/96. Suppose 23*y + c = 28*y. What is the highest common divisor of y and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 2. Let m = -8 - -31. Suppose -p = -u - 6 - 2, -4*p + u + m = 0. Does 2 divide f(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 21457.\nAnswer: 236027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 318150 from 354.\nAnswer: -317796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 8*g**2 - 20*g + 60. Let q(p) = 3*p**2 - 8*p + 30. Let v(n) = -5*q(n) + 2*t(n). Let h(i) = -4*i. What is h(v(r))?\nAnswer: -4*r**2 + 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o + 17. Let b be t(4). Let d(y) = -y**2 - 1. Let l(w) = 8*w**2 + 4*w + 16. Let f(z) = 10*d(z) + l(z). Let a(x) = x + 1. Calculate b*f(u) - 6*a(u).\nAnswer: -2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 21 - 5)*(-2*b**5 + b**5 + 5*b**5) - 3*b**4 - 2*b**5 + 3*b**4 + (b - 4 + 4)*(0 - 2*b**4 + 0).\nAnswer: -116*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*n - 19, -3*d + 4 = n - 0. Let r(w) = w - 11. Let o be r(n). Which is the closest to 2? (a) 0.4 (b) 0.2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3177384.\nAnswer: 2, 3, 7, 18913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -115771612 divided by -22\nAnswer: 5262346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -4 (c) 20\/7 (d) 0.4 (e) 0.03 (f) 0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9716228 divided by -9716228?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44.8 + 50. Let f = o + -5.4. Sort 2, -3\/2, 2\/3, f in decreasing order.\nAnswer: 2, 2\/3, f, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -1\/2, -2\/3, 685\/94?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1349972 and 13520?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/75 and -44\/2055.\nAnswer: 10275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -251.17273703 - 16.82728127. Let y = 268 + k. Round y to six decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 595103 + -595043. Find x, given that -48*x - 24 - k*x**3 + 21\/2*x**4 + 108*x**2 = 0.\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3*d + 27 = 0, 0 - 3 = -3*r + 3*d. Let t(q) = 11*q + 6. What is the remainder when t(r) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e4 (base 15) to base 6.\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2695?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04199846 + 0.042. What is r rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**5 - 320*a**4 + 5430*a**3 - 9920*a**2 + 4805*a.\nAnswer: 5*a*(a - 31)**2*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -4, 8, 30?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6922 - 6922. Let w(c) be the first derivative of 5\/9*c**3 + 1\/15*c**5 + 4\/9*c**4 + 28 + o*c - c**2. Factor w(z).\nAnswer: z*(z + 3)**2*(3*z - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 183 + -131. Calculate the highest common factor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 413 and (2 + -8)\/(18176\/(-1652) + 11).\nAnswer: 2478","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 61*s - 64. What is the remainder when a(23) is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (160\/(-75) + 4)*(-6)\/(-7)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of y**8\/336 + y**7\/56 - y**5\/6 - 3*y**3 - 76. Let z(b) be the third derivative of s(b). Solve z(i) = 0 for i.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 9*w - 12. Let f be q(8). What is the least common multiple of 2 and 1*f*(3 - 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9842046901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 55990141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 10*i**2 + 207*i - 72. Determine o(-21).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -5*q - 10, 3*q = -20 + 5. Let w(l) = -1372*l**3 - 7*l**2 + 2746*l**c - 1375*l**3 - l. Calculate w(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (-4 - 5*-2). Suppose 2*a + 32 = 7*a + 3*t, -a = t - o. Suppose 8*d - 32 = a*d. Calculate the smallest common multiple of d and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + 1. Let i = 96 + -92. Let s be ((-18)\/i + 0)*(-4 + 2). Let z(u) = -2*u - 2. Determine s*v(a) + 4*z(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 8334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, b: 2, x: 9, e: 1, y: 3}. What is prob of picking 1 u and 3 y?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 118 - 823\/7. Is 0 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3414461274 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 53*m**2 - 3*m + 4. Is h(2) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -10. Let w be (-2)\/(2\/x*3). Let h(i) = i + 4. Let p be h(-2). Sort 0, w, p in descending order.\nAnswer: p, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1275\/(-225) - (-2 + -5)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1476 smaller than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 + -101. Let v = 661 + n. Does 24 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -5*v + 1110 + 108 + 349. Let w(u) = u**2 - 4*u - 165. Let c be w(-11). Is y(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -9, 3*q = g - 5*g - 9 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 128 and 1.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/9 - ((-142)\/213)\/((-6)\/(-2)). Solve k = -6*h - 250 + 292 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/12 - 60\/(-16). Suppose 24 = 4*v - d + 273, r*v - 2*d + 254 = 0. Let o = v + 91. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 120 = 7*g. Suppose n + g = 6*n. Solve -d - n + 1 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122042017?\nAnswer: 307, 331, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 29)*3*(11\/5)\/(-11). Let o(q) be the first derivative of 23\/4*q**4 + 0*q**2 + 17 + m*q + 0*q**3. Differentiate o(g) with respect to g.\nAnswer: 69*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 12*o = -76. Let n = -14 + o. Suppose 0 = 4*l - 2*q - 1 - 5, n*l + 3*q = 35. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 e when two letters picked without replacement from {k: 3, e: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*d - 592 = 48*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -44*y**7\/21 + y**4\/4 + 7*y - 7. What is the third derivative of q(u) wrt u?\nAnswer: -5280*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -711*s. Let d(q) be the first derivative of -q**2\/2 + 1910. Give d(h(o)).\nAnswer: 711*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/2 - (-63)\/6. Let c = 14 - w. Let a = -2 - -2.2. What is the third biggest value in -1, a, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 3 = -11 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 289704*a**3 - 664172 wrt a.\nAnswer: 869112*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-16)*(n\/n**(1\/4))\/n)\/(n**(-1\/21)\/(n*n**(2\/9)\/n)) assuming n is positive.\nAnswer: n**(-4027\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -788265 divided by -157653.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10658?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 7*q**2 + 3*q. Let x(l) = -l**2 + l + 1. Let k(u) = -2*x(u) - z(u). Give k(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -1 + -1 + -5 + -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 102\/17 + (-6)\/2. Suppose 0 = 2*n + j - 7. Suppose 5*x = h + 511, 5*h - 329 = -x - n*x. Does 21 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**2 - 9*t - 1. Let a(h) = 3*h**2 + 8*h + 1. Calculate 5*a(m) + 4*j(m).\nAnswer: 7*m**2 + 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 891*t**2 + 109*t + 4. Is l(4) a multiple of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12500 by 4.\nAnswer: 3125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven sixths of a hour?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -718 + 5029\/7. Suppose -x - 2*x = 0. Which is the nearest to x? (a) -0.5 (b) i (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 1. What is the least common multiple of j(0) and ((-2)\/(-10))\/(0 + (-3)\/(-75))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**3 - 20*z**2 - 19*z + 100. Determine h(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*f**2 - 86*f**2 - 12*f**3 + 104*f**3.\nAnswer: 92*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 105202?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of 11\/60*i**5 + 0 - 17\/12*i**4 + 0*i**3 + 12*i**2 + 0*i. What is the second derivative of o(u) wrt u?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6864.3mg to kilograms.\nAnswer: 0.0068643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*r - 588*m + 585*m, 5*m = 15. Suppose 5*b = b + 8. Solve 0*l - b*f + 21 = r*l, 0 = -f + 3 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -1 + 0*r - 1\/32*r**4 + 0*r**2 + 1\/12*r**3. What is u in l(u) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*v = -13, 4*v = -6*h + h + 152. Let s = h - 31. What are the prime factors of (-4 - -54)*s\/(-2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1132\/5 or 227?\nAnswer: 1132\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**2 + 77. Let p(i) = -i**2 + i - 32. Give p(z(a)).\nAnswer: -9*a**4 - 459*a**2 - 5884","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1366 + -1361. Let c(o) = o**2 - 12*o + 9. Give c(x).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 6, -7*y - 4*z + 12 = -5*y. Suppose -y*x + 18368 - 1517 = 3*q, -4*q + 22473 = x. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4*r + 9*r = 9, 2*r = j + 14. Let a be j\/(-6) + (-292)\/(-12). Suppose -a = -2*x - o, o - 19 = -2*x + 2*o. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 4*k**2 - 7*k - 7. Suppose -2*f + 4 + 0 = 0. Suppose -f*b - b = -30. Let d be (-1)\/(-1*(-2)\/b). Give r(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 89 + -91. Let l = s + 2. Solve k = -4*b + 13, -b + 4*k - 18 = -l*k for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4132*q - 8838*q + 4709*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + k + 6. Let l(g) = -2*g + 29. Let z be l(16). Let j be s(z). Which is smaller: j or -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 39*y + 316. Give f(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**7\/1260 + a**4\/8 - a**2. Let m(q) be the second derivative of o(q). Let l(j) = 2*j. What is m(l(h))?\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 2\/25 (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 10 = x, 3*x - 12*y + 15*y - 39 = 0. Calculate the lowest common multiple of x and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1341040876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 980264*l**4 - 1271430*l?\nAnswer: 11763168*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence frh when three letters picked without replacement from krrrrrforrorkbhfrrr.\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 6.598242.\nAnswer: -0.6598242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 4, 10*d - 6*d = 2*n - 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 8 = 4*k. Let n = -3 - k. What is the first derivative of t**2 + 0 - n + 3 wrt t?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/183932 and 9\/30578695.\nAnswer: 122314780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -100100110001000111100?\nAnswer: 100100110001000110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1141 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2345502 to the power of 1\/2, to the nearest integer?\nAnswer: 1532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -161*d + 159*d - 9135 + 71361. List the prime factors of d.\nAnswer: 3, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j**(3\/5)\/j*j*j))\/(j*j**(-19)))\/(j*j*j\/(j*j**(-13\/2))*j*j)**(1\/24) assuming j is positive.\nAnswer: j**(1437\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 8394*r + 134274. What is d(-16)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1089*z - 2724 = -1061*z - 14204. Calculate the least common multiple of 60 and z.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + s. Let d = 13 - 8. Suppose i - 2*i = d. Let y(f) be the second derivative of -f**5\/20 - f**4\/4 + f**3 - 7*f. Determine i*m(z) + y(z).\nAnswer: -z**3 + 2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 19\/(570\/(-78)) + 2\/(-5). Let n(c) = 2*c**3 + 2*c**2 - 2*c + 1. Determine n(k).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2124789853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u**2 - 3*u + 3. Let o be 9 + -12 + -3 + 5. Let k(t) be the first derivative of -t**3\/3 + t**2\/2 - t + 5. Determine o*b(c) - 3*k(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*q + 67 = -22*q - 45. Solve q*m - 26 = z - 27, 2*m = 4*z + 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1472736 and 30624.\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 0.0966.\nAnswer: 0.1932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millennium in years?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 94.\nAnswer: -3\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2586)\/30 + 1 + (135 - 147 - (-56)\/5)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - 2*x**2 - x**2)*(-x + 4*x - x) + 4*x**3 + 5*x**3 - 5*x**3 + 16*x**3 + 1208*x - 1208*x + 7*x**2.\nAnswer: 18*x**3 + 7*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4212)\/(-468) - (64 + -1)*-2*4\/(-120)?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7356 + 12932. What are the prime factors of a?\nAnswer: 2, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/65)*c**(11\/2)*(c**(1\/5)\/c)\/((c*c\/((c*c**(2\/27))\/c))\/c))**(-16\/3) assuming c is positive.\nAnswer: c**(-21368\/1053)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1198116982?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**4 + 2*d**3 - 2*d**3 + (-2*d + 2*d - 2*d**2)*(-4 + d**2 + 4) - 2*d**4 + 5*d**4 - 4*d**4 + (d + 39*d + 39*d)*(98*d**3 + 54*d**3 - 197*d**3).\nAnswer: -3557*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 56?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.239 - -0.15. Let s = 0.511 - x. Sort 0.5, s, -2.\nAnswer: -2, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-140 + 142 - (10 + (-1 - 1))) + 7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/6*((-3504)\/(-960) - (-1)\/(-20))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 426 and 450.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011110000 - 10101?\nAnswer: 10011011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2237 (base 8) to base 2.\nAnswer: 10010011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -813 - -1677. Is 36 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -391361, -2\/5, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 8:44 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*m - 2*l + 11, -2*l = 4*m + 26. Let o(h) = 0*h**2 + 2*h**2 - 7 + 3*h + 2*h. What is o(m)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**3 + 3068*q**2 + 24648*q + 37008 = 0. Calculate q.\nAnswer: -6, -2, 1542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 8. Suppose -9 + r = -5*t. Let o(f) = -9*f**3 - 2*f**2 + f. Calculate o(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 1 = -3*v + t, v = -5*t + 13. Sort -3, v, -0.1.\nAnswer: -3, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -5, 5, -18 in ascending order.\nAnswer: -18, -5, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, o: 6, v: 3}. What is prob of sequence llvo?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 5*h + 4 + 20, -i - 2*h = -7. Suppose f + 1 = 0, 50 = 2*a + 4*f - 6*f. Calculate the remainder when a is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*n + 40 = 0, -4*y = n - 8 - 32. Suppose 328 + 62 = y*t. Is 3 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -2*j**2 - 1\/2*j**4 + 0*j - 1 - 2*j**3. Factor m(p).\nAnswer: -2*p*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide ((-416)\/130)\/(1\/(-525))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 8 = -2*z, 8*z = -638*x + 640*x - 56 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 6*i - 3. Let l(p) = -6*p - 7. Let a(g) = 5*g + 6. Let b(q) = -7*a(q) - 6*l(q). Let n = -7137 - -7136. Determine n*j(s) + 4*b(s).\nAnswer: -2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 39437 to the power of 1\/2, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -60*u - 380*u + 7480 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 473 + 147. Suppose y + 185 = 5*f. Suppose -28*w = -30*w + 46. What is the highest common divisor of w and f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1191121.9 rounded to the nearest ten thousand?\nAnswer: 1190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 645340 (base 7) to base 2.\nAnswer: 11011011011010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2. Let s(z) = -3*z + 4*z + z - z. Determine s(x(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 112 + -112. Solve 3*r - 4 = -5*c - k*c, r + 1 = -4*c for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 23 + (41 - 49)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 586 - 585. Sort 5, 6\/43, -0.5, g in descending order.\nAnswer: 5, g, 6\/43, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 453, 1286, 2119, 2952, 3785, 4618?\nAnswer: 5451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4404830 is divided by 1538?\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -5*u - 9 + 19, -4*o - 8*u + 4 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(91)*5)\/((1*sqrt(42))\/sqrt(6)) - (sqrt(1300) + 1 + -2 + 1).\nAnswer: -20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 42.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 401956629 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 508702?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/((-33)\/(-12) - 2). Let a(f) = -f**4 + f**3 - f**2 - f + 1. Let q(r) = -10*r**4 + 2*r**2 + 4. Let t(z) = j*a(z) + q(z). Factor t(u).\nAnswer: -2*u*(u - 1)*(u + 1)*(3*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(2\/9))**12\/(n**(-2\/49)\/((n**(-3)\/n*n)\/n)) assuming n is positive.\nAnswer: n**(3338\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -52728*g + 18. What is x(0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -254109, -254193, -254279, -254367, -254457?\n\"Answer: -h**2 - 81*h - 254027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - sqrt(768))*2 - 2*sqrt(192))\/(((1*sqrt(192))\/sqrt(4))\/(sqrt(24)\/sqrt(3)*-1 - sqrt(8))).\nAnswer: 44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1239*q**2 + 1331*q**2 - 2563*q**2.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 + 568*w - 1128.\nAnswer: -2*(w - 282)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -96*k**2 - 16*k + 80. Let n(x) = -31*x**2 - 5*x + 25. Let w(t) = -5*b(t) + 16*n(t). Let c(j) = 3*j**2 + 3*j**2 - 5*j**2. Give c(w(y)).\nAnswer: 256*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1564 and 0.05.\nAnswer: -1563.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04968 - 0.0488. Round f to 5 dps.\nAnswer: 0.00088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 c when three letters picked without replacement from {g: 3, o: 3, n: 1, c: 1, y: 9, q: 2}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 176106+771735.054\nAnswer: 947841.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116410 is divided by 38734.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1469 = 27*d - 1523. Let s(f) be the first derivative of -f**3\/3 + 3*f**2\/2 - 2*f + 2. What is s(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2*c - 161046, c - 135 + 140 = 0. What is the ten thousands digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 523 - 513. Solve 4*d = 2*r + q, -r + 7 = 2*d + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/115 - -109\/345. Sort m, -0.1, 2\/5, -4 in descending order.\nAnswer: 2\/5, m, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66450162 is divided by 2497.\nAnswer: 2495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1657884518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4 = k, 3*k + 7 + 7 = 4*z. Suppose 2*b + z*a = 7*b - 322, 4*a = -4. What is the remainder when b is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -3 + (-4 - -8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 162 and 186.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112255*u + 112255*u - 88*u**2.\nAnswer: -88*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 66*i + 354. Let a = 10 + -11. Sort i, -88, a, 3 in ascending order.\nAnswer: -88, i, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3781394 is divided by 676.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 19*r**2 + 9. Let i be m(3). Suppose 0 = -5*p + i + 600. List the prime factors of p.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -1 - 17*m + 356*m**3 + 15*m + 3 - 3*m**2 + 2*m**2. Is n(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/3))**49*b*b\/b**(-7)*b*b*b\/(b\/(b*b**(1\/3)))*b*b*b\/(((b\/b**(4\/7))\/b)\/b)*b**4*(b**0*b)**(-5\/4) assuming b is positive.\nAnswer: b**(93\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 387298 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5308356.0850334 + 5308357. Let z = l + 3.2850273. Let t = z - 4.2. What is t rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f + 26. Let m be j(-10). Suppose -m*n + 3*n = -18. Solve -10 = n*x - x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 50 = -3*n, -38 = -3*n - 2*f - 0. Let a be 4\/(-10)*(-1 - n). Let l = a - 5. Let i(x) = x**2 - x + 1. What is i(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1.99, 3\/5, 0.5, -2\/9 in ascending order.\nAnswer: -5, -1.99, -2\/9, 0.5, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 140 - 3201?\nAnswer: -3011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 82, 511, 1682, 3967, 7738, 13367, 21226, 31687?\n\"Answer: 62*z**3 - z**2 - 2*z + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 94 = 32. Suppose -i = -6*w + 57. Find the common denominator of (4\/(-3))\/((-12)\/22) and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 56*d**2 + 4*d. Let s be c(-1). Solve s = 12*j + 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*p - 77 = 0, 0 = 5*r + 5*p - 159 - 121. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1039*r + 211 = -821 - 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -26*d**2 - d - 5. Let a be t(-2). Let f = a + 590. Let i = f + -883. Round i to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588694?\nAnswer: 2, 294347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1137*i**4 - 427*i**4 - 1299*i**4 + (-2*i - 2*i + 2*i)*(0*i + i**3 + 0*i).\nAnswer: -591*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100100110100000001110101001 + -1?\nAnswer: 10100100110100000001110101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 2:07 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.3 (b) -1\/5 (c) -0.6 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 12:39 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1749, 6546, 14511, 25620, 39849, 57174, 77571?\n\"Answer: -4*z**3 + 1608*z**2 + z + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*u - 65*u - 48 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-20 + 11) - (-1 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 21*s**2 - 2257*s - 50033. Determine i(-22).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -n**5\/20 - n**4\/4 + 4*n**3\/3 + 3*n**2\/2 + 2*n + 1. Let w(q) be the first derivative of d(q). Is w(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53.039 - 53. Let t = -0.039 + n. Which is the closest to t? (a) 5 (b) -2 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 4 + 1)\/(-1). Let r be x\/(-12) - 573\/(-12). Suppose 0 = 3*f - 75 - r. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - f - 60 = 0. Suppose 3*z = 3*a + 30, 3*a + 0*a - 10 = -f*z. Is z > 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 2*a = 0. Let c(m) = -m - m + m + a. Let d(n) = -121*n**2 + 61*n**2 + 54*n**2. Give d(c(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = 3*h + 5*m - 11, 7*h - 16*m - 5*m + 176 = -26*m for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 8*w + 9. Let y(h) = h**3 - 15*h**2 + 14*h + 11. Let j be y(14). Let a = j + 3. Let s = -8 + a. What is z(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, y: 2, q: 2}. What is prob of sequence qi?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 5*m + 5. Let b be v(5). Let y(k) = -4 + k**2 + b*k - 2 - 4 + 3. Suppose -18 + 6 = 2*q. Calculate y(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1828523*a + 98936.\nAnswer: -1828523","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -881, -1045, -1449, -2213, -3457, -5301, -7865, -11269?\n\"Answer: -20*q**3 - 24*q - 837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 380\/2 + -1. Let t be i\/(-28)*(-8)\/3. Let a(o) = -o**3 + 3*o**2 + 5*o - 1. Let u be a(4). Solve -u*k - 2 + t = -4*n, 10 = -2*n + 2*k for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28866805493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1216 a factor of 2388224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000447921 to 6 decimal places.\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.171169 - 0.14929. Round p to 4 decimal places.\nAnswer: 0.0219","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.026 * 70\nAnswer: 1.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 214705 and 2990.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1)**13*s*s\/s**(1\/2)*(s*s*s*s*s*((s*s*s**0)\/s)\/s*s)\/s)\/((((s\/(s**(-2\/7)*s))\/s*s)\/s)**11\/(s\/s**(1\/2))**(2\/55)) assuming s is positive.\nAnswer: s**(21079\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*(n\/(n**(-2\/17)\/n))\/n*n*n**10*n**6\/(((n**(-1)\/n)\/n)\/n) assuming n is positive.\nAnswer: n**(393\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-33)\/(-66) + (-1)\/(2\/(-4)). Let t(u) be the first derivative of -w*u**2 - 9 + 0*u + 10\/3*u**3 - 5\/4*u**4. Determine k, given that t(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24.67 + 8704962328.\nAnswer: 8704962352.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 6355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 11*j**2 + 73*j + 132. Is 104 a factor of u(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5271 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**4\/6 - 9951*z**3 + 286125723*z**2\/2 + 163318001220*z + 44893494221400 = 0. What is z?\nAnswer: -540, 30393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2153 + -2152. What is the fourth biggest value in 0.2, 4, i, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 2*k = 20. Suppose -3*v - 13958 = -k*t + 8786, t - 3*v - 4556 = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l + 18. Let y(o) be the second derivative of o**3\/3 - 25*o. Calculate i(y(n)).\nAnswer: 2*n + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 5690*x = -5689*x - 3, 4*x = 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 + 73. Suppose 3*j + 8 = a. Calculate the lowest common multiple of 5 and j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.176306*7.\nAnswer: 1.234142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3315, -3310, -3305?\n\"Answer: 5*t - 3320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1\/16*6 - (-23905)\/40 and 7.\nAnswer: 4186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -432734, -1730865, -3894418, -6923393?\n\"Answer: -432711*v**2 + 2*v - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 1006*n + 16592. Determine a(-20).\nAnswer: -3528","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -4362 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7\/529 + 46573\/1587. Factor -1\/6 + 7\/3*g + 86\/3*g**3 + 32\/3*g**5 - 73\/6*g**2 - d*g**4.\nAnswer: (g - 1)**2*(4*g - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0.1 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 5*j - 4. Let s be f(3). Let b be 293*18157 + (1 - s). What is b rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00132032 rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 2\/65*u**5 - 11\/26*u**4 + 0*u**2 - 128 + 0*u + 20\/39*u**3. Factor w(y).\nAnswer: 2*y**2*(y - 10)*(y - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**3\/3 - 33*l. Let t(c) = 93*c**2. What is m(t(h))?\nAnswer: -186*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17377087 to the nearest integer?\nAnswer: 4169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/1922102 and -61\/686465.\nAnswer: 9610510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-6))\/(2\/2034*3). Which is smaller: -117 or y?\nAnswer: -117","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**0)**(-15\/4))**(-1\/14))**(-15))**23 assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, k: 4, q: 4, t: 1, a: 4, o: 4}. What is prob of picking 2 a, 1 k, and 1 o?\nAnswer: 8\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -22 and -89\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*k - 203 = 173*k + 321*k - 2803 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 25*r + 3. Let a(f) = -25*f - 4. Let u(s) = 4*a(s) + 5*m(s). Suppose 20*x = 25*x - 5. Calculate u(x).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**3*l*l*l*l**(-5)*l)**3*(l*l*l\/((l\/(l\/l**(-5)))\/l))\/((l\/(((l**(-5\/2)\/l)\/l)\/l))\/l)*(l**6*l)\/l*l**6*l assuming l is positive.\nAnswer: l**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -6.78.\nAnswer: 13.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 26. Let j be h(0). Suppose 0 = 4*g - 3*g - j. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 5*q**2 - 29940*q + 44820180 = 0.\nAnswer: 2994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23110167 < 161771173\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -92, -182, -308, -470, -668?\nAnswer: -902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -s**4\/12 - s**3\/3 + s**2 + s. Let m be 17\/(-15) - 4\/(-30). Let l(i) = -4*i**2 + 3*i**2 - 5 + 4. Give m*c(r) - l(r).\nAnswer: 2*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5268 - -3?\nAnswer: 526b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -287.434 + -16.536. Let l = 302 + d. Round l to one decimal place.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 303*u**2 + 294*u**2 - 622*u**2. Let m(l) = 409*l**2. Determine i(m(g)).\nAnswer: -4182025*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 389935 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.079 (b) 0.1 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 11:44 PM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (2 - 12)\/(-2). Suppose 3 = 2*v - i. Suppose 5*z = -5*d - 0 + v, -z - 3 = 5*d. Which is the smallest value? (a) z (b) 2\/15 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 13. Let l(a) = 2*a - 13. Let s be l(k). Let m be (2*s)\/((-10)\/105). What is the highest common factor of m and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1001, -2003, -2993, -3965, -4913, -5831, -6713, -7553?\n\"Answer: r**3 - 1009*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4641.480716 to 1 dp.\nAnswer: 4641.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/24)\/(3\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1427 or 1436?\nAnswer: 1427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13246803 - -7.\nAnswer: -13246796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490763.\nAnswer: 7, 13, 5393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.036765 to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5391 + -2?\nAnswer: -5393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((2*(-1 + sqrt(72)))**2 - (1*sqrt(128))**2*-5).\nAnswer: -48*sqrt(2) + 932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*z - 5*u, 5*z = -8*u + 12*u - 23. Let i(t) = 14*t**2 - 97*t + 2. Does 15 divide i(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21 + (-2 - 5) - 1\/(-1). Suppose -8*t + 9 = -f. Solve 10 = -t*k + k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 9, w: 10}. Give prob of sequence ww.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**2\/8 - 391*p\/8 + 2541\/2 = 0.\nAnswer: 28, 363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*b + 7 - 352 + 32*b to the form a*b + g and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1454 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.182 from -5.\nAnswer: -4.818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -295478321\nAnswer: -295478321.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1192283 or 1192284?\nAnswer: 1192283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(78)*2 - (sqrt(78)*1 - sqrt(78))*4)\/((sqrt(486)*-2 - sqrt(486))*-4)*1.\nAnswer: -sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvmvvvmvvvvgv. What is prob of sequence gm?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in 38, -1, 0.02, 1\/12?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 412629296?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*l**3 - 6373*l**2 + 10*l - 1649216 wrt l?\nAnswer: 27*l**2 - 12746*l + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1057326334?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 160040 and 3344836?\nAnswer: 33448360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5*w = -51 - 3, 108 = -4*p + 3*w. Let j = -23 - p. Solve -2*n - 31 + 1 = -j*b, -b = 4*n + 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 93478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23b (base 14) to base 11.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(0 + 2 + -1). Let u(t) = -t - 2. Let o be u(s). Let k be (-147)\/(-35) + o\/(-10). Solve 0 = 5*i + y + 4*y + 30, k*i = -2*y - 14 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 13*z**2 + 8*z - 10. Let u be q(-10). Suppose -l - u = -6*l. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218*t + 24*t**3 - 227*t + 678*t + 9*t**3 - 233*t.\nAnswer: 33*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 131810 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 5*i - 2. Let n = -276 + 278. Suppose n*w - 4 = -5*g, -20*w - g = -24*w - 14. Give z(w).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 168.2 in -3, -42, -0.5, 0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39.8 - -56. Let x = 11.08 - j. Let n = x - -0.12. What is the second smallest value in -0.2, n, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**3 + 12 + f + 64 + 6*f + 3*f**2 + 0*f**2 - 6*f as u*f**2 + p*f + j*f**3 + o and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -135, -3, -4, -2, -14 in decreasing order.\nAnswer: -2, -3, -4, -14, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqg when three letters picked without replacement from {q: 2, w: 3, g: 7}.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 15) to base 8\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 25 = r - 4*r, 3*r + 19 = 2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 10, n: 2, x: 3, l: 2, u: 2}. Give prob of picking 3 t and 1 n.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71647*f**2*m**2 + 638*f**2*m - 2*f**2 + 105*f*m**2 - 2*f*m + 26*f - 4*m**2 + 133*m + 2 wrt f.\nAnswer: -143294*m**2 + 1276*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 167458?\nAnswer: 1339664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-6) - (-33)\/(-63). Let h be (13\/13)\/((-15)\/35). Sort 0.2, d, h in descending order.\nAnswer: 0.2, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7010, -0.0147, 0.4, 4 in increasing order.\nAnswer: -0.0147, 0.4, 4, 7010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 54491877599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (2 + 9\/(-3)). Solve 0 = v*i - 0*i - 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (4 - 9 - -2) - -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/24 and -52\/2373.\nAnswer: 18984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x. Let i be f(0). Suppose 4*j = 4*w + 32, w - 4*j = -i*j - 20. Which is the closest to -2? (a) w (b) 1\/3 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2211, 9077, 20529, 36573, 57215?\nAnswer: 82461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/3 - 8156*q\/3 + 8315042\/3.\nAnswer: 2*(q - 2039)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + 25. Suppose -38*f + x*f + 305 = 0. Let n = 7 + 14. What is the remainder when f is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 + d**2 - d**2 + (-1 + 2 + 1)*(-13*d**2 + 100*d**2 + 13*d**2) - 6*d - 4*d**2 + 6*d.\nAnswer: 195*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*c**4 - 4*c**5 - 5*c**3 + 33*c**4 + 23*c**4 + 17*c**3 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 285 and 28439143?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -c0 (base 13) in base 7?\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 23 + 3dc?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/930 and 69\/40.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -32, 5, 63 in increasing order.\nAnswer: -32, -5, 3, 5, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 2)*(-2*g + 4*g + 0*g)*(-g**2 - 9*g + 9*g).\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 221 + -203.8. Round h to 0 decimal places.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(242)*-1).\nAnswer: -sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of m**4\/12 + 2*m**2 + 2*m. Suppose -3*x = -0*x. What are the prime factors of j(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -5\/6, -6, -2, 3?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -701 + 704. What is the third derivative of -160 - 41*y**6 - 3*y**4 - y**2 + k*y**4 + 42 - 2*y**4 - y**6 wrt y?\nAnswer: -5040*y**3 - 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**2 + q**2 - 3 - 4*q**2 + 5*q**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 30, 79, 160, 273?\n\"Answer: 16*m**2 + m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9332, -29, 4, 1\/2, -5\/4, 3\/7?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 5*q**2 - 5*q - 7. Let f be s(6). Let m = 19 - f. Calculate the smallest common multiple of 18 and m.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b - 29. What is a(-23)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -1) + ((114 - 13) + (2 - 22) - -18).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3712 is divided by 64.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/5 and -25\/47.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0222987481 to six decimal places.\nAnswer: 0.022299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**3*f**2 + 38152955*c**2 - 2316493*c*f**2 wrt c.\nAnswer: 6*c*f**2 + 76305910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 196 + 158. Solve -17 = 3*j + b - 14, -5*b = -2*j - x for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1114 - -2?\nAnswer: 1116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.87473 - 0.02527. What is the smallest value in 0.3, 17\/2, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 2*z**2 + 6*z + 1. Let s be j(-4). Let v(b) = -b**3 + 8*b**2 + 10*b + 6. List the prime factors of v(s).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2 + 2 = 0. Let k be 1 + -1 + h - (-25 - -2). What is the highest common divisor of 253 and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16193 - -16114) + 15\/(2\/2)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 222269, 444763, 667483, 890429, 1113601, 1336999, 1560623?\n\"Answer: 113*n**2 + 222155*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2216, 2214, 2210, 2204, 2196?\n\"Answer: -u**2 + u + 2216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kl when two letters picked without replacement from {k: 1, h: 4, t: 1, u: 2, l: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -79*k**3 + 179?\nAnswer: -237*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 10*q - 9. What is the units digit of a(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u**3 + 6*u**2 + 96*u + 128. What is t(-4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2. Let y(q) = 5*q**2 + 6*q - 1. Let l(x) = -4*a(x) + y(x). Let r = 81 + -89. Does 8 divide l(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.221 and 5492.\nAnswer: 5491.779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.1*3.9745.\nAnswer: 8.34645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**5\/40 + 11*l**4\/6 - l**3\/12 - 11*l**2 + 337*l. Solve k(n) = 0.\nAnswer: -44, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 f when two letters picked without replacement from zcdfqcc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/2, 0.2, -2\/59, 4\/13?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**9*y*y\/(y\/y**0))\/(y**16)**42 assuming y is positive.\nAnswer: y**(-661)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -28*(-4)\/784*-7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-746)\/3 - 4\/(-6). Let h be 424 + 0 + 70\/14. Let j = p + h. List the prime factors of j.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -264.\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 5 - 1 + 1013*k**2 + 9*k.\nAnswer: 1013*k**2 + 9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -540 - 6?\nAnswer: -546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17630317, -35260637, -52890955, -70521271, -88151585?\nAnswer: -105781897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.3 + -2. Let a(n) = -n**2 + 6*n - 14. Let d(p) = 2*p**2 + 24*p + 27. Let x be d(-11). Let w be a(x). What is the closest to 0.1 in w, v, -2\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 4*c - 8. Let p be o(-4). Put p, -3, -5 in decreasing order.\nAnswer: -3, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 312508 and 36.\nAnswer: 2812572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*5*(-1*sqrt(5))**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxkt when four letters picked without replacement from {k: 1, t: 8, x: 7, l: 1}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/9800 and 31\/28000?\nAnswer: 196000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**3 + 3*u**3 + 1941*u - 13511*u)*(3*u + u - 6*u).\nAnswer: 2*u**4 + 23140*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(153) + 2*sqrt(153) + 1)**2.\nAnswer: -8268 - 108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 14*k**2 + 10*k - 65. Let a be m(-17). Find the second derivative of -1 - 608*q + a*q + 425*q**5 - 103*q**5 wrt q.\nAnswer: 6440*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/2 - (3 + -1))*-1. Let y(o) = 3*o**2 - 3*o. Let c be y(m). Suppose -3*i + b - 22 = -6*i, 4*i + 3*b - c = 0. Solve 3*u = i*u - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12244 is divided by 178.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (27*(-25)\/(-2025))\/3. Sort 2763, n, -3\/5 in descending order.\nAnswer: 2763, n, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22445 - 77692. Let r = h - -39537. Round r to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/12*(60\/(-25))\/6\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in -317, 4, 1\/419, 2, -1\/3?\nAnswer: 1\/419","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbqs. What is prob of sequence sqq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w + 102*w**3 + 0*w - 111*w**3.\nAnswer: -9*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 12.9. Let k = s - 10.9. Let o = k - -4. Sort 0.4, 0.5, o in ascending order.\nAnswer: o, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-126)\/(-12) + -10)\/((-10)\/160)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001909980614 rounded to four decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 70001189 + 180996811. Round x to the nearest one million.\nAnswer: 84000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -1, -91, 0, -6\/11 in descending order.\nAnswer: 2\/11, 0, -6\/11, -1, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 5. Let n(u) = -u - 5 - f - 5 + 4. Calculate n(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x + 8. Suppose -31*t - 6*t = -333. Suppose -t*k + k = 88. Give z(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3089, -3, 220, 1 in descending order.\nAnswer: 3089, 220, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4 = -a, -a = 5*s - 0*a - 4. Let x = 5 + 24. Let c = s + x. Is 29 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 - -0.2. Let r = 0.15 - 1.65. Let a = n + r. Which is greater: 2 or a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10220120111 - 2?\nAnswer: 10220120102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**5 - 98*y**4 + 1207*y**3 + 221804*y**2 = 0.\nAnswer: -71, 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-15 - (7 - 22)) - (-5 + -14).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*5*sqrt(63) + sqrt(63) + sqrt(3087)*-3 - (sqrt(315)\/(sqrt(320) + sqrt(5)) + -1*sqrt(63)*4))**2.\nAnswer: 386575\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**3 + 3*y**3 + 0*y**3 - 3 + 3*y**3 + 3 + (-3 + 0 + 4)*(5*y**2 - 5*y**2 + 2*y**3) - y**3 + y**3 + 2*y**3.\nAnswer: 11*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -39, -80, -129, -192, -275, -384, -525, -704?\n\"Answer: -k**3 + 2*k**2 - 40*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1821 + 1823. Solve 16 = -3*a - i*y + 7*y, a = -2*y + 13 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1726 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 328, 301, 262, 205, 124, 13, -134, -323?\nAnswer: -560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 673 is divided by 54.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 - 13*l + 7. Let i be p(6). Let s(k) be the third derivative of 0 - 3*k**2 + 0*k**4 + 0*k + 1\/6*k**3 + 13\/60*k**5. What is s(i)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*t + 1, 0 = -5*l - 2*t + 9 + 3. Suppose 0 = -11*a + l*a + 90. Let k(m) = 1 - a*m + 11*m + 0. Give k(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0791663812 to 3 dps.\nAnswer: 0.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -54*y + 198 + 31 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2*s = -756. What is s rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-32)\/(-12))\/((-2)\/(-3)). Solve -3*u + 4*u = a for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6490 and 1184720?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103639 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-77 - 2*x**2 + 77)*(-116*x + 93678 - 93678).\nAnswer: 232*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -741 = 4*w + 79. Let o = w - -291. Let r = 948\/11 - o. Which is the third smallest value? (a) r (b) -1 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 9. Let b be m(9). Let a be b*(4 + 9\/(-2)). Solve -p - 5 = -a*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.13 - -1.47. Let g = q + -1.6. Let m = 0 - 1. What is the closest to m in -1\/9, g, 4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-3)\/36*3)\/(33\/18)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*f - 2*s = -63*f - 851, f - 157 = 4*s. Suppose 2*q + 2*q = 52. What is the greatest common divisor of q and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-22084)\/(-30) + 60\/(-450)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (144\/27 + -5)\/(2\/42). Suppose -3*d - 1736 = -k*d. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/3 (b) 2 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.53 + -0.47. Let n = 30.8 - 30.9. What is the nearest to n in -0.1, 7, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 6:34 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u + 4 - u**3 - 2 + 2*u + u to the form m*u + j*u**2 + i*u**3 + v and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 23*c**3 + 439*c**2 + 1462*c + 242. Let k(r) = -41*r**3 - 880*r**2 - 2923*r - 479. Let q(d) = -2*k(d) - 5*o(d). Factor q(x).\nAnswer: -3*(x + 6)*(x + 7)*(11*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -2 (c) 1 (d) 0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(sqrt(1210) + -3*sqrt(1210) + sqrt(10) - sqrt(10)) - sqrt(38)\/(-4*-2*sqrt(2)).\nAnswer: -15*sqrt(19)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 104454661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -80? (a) 2\/13 (b) 2\/5 (c) 2 (d) 31.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + t - 71 = 6*t, 2*x - 40 = -2*t. Solve 3*d - x = 5*g, 7*d = 5*g + 2*d + 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 9*w. Let t(d) = d. Let q(j) = j. Let b(y) = 4*q(y) - 5*t(y). Give -18*b(g) + 2*m(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14616 and 29000?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + 27. Let x = r - 10. What is the remainder when 93 is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 2) + 1 + 2. Suppose 1 + z = 4*f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5\/(x*(((x\/(x*x**(-3)))\/x)\/x)\/x)*x**(-2\/15)*x*x**3\/x)**45 assuming x is positive.\nAnswer: x**309","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 338*r**3 + r**2. Let n be y(-1). Let b = 475 + n. Suppose -8*t = -5*t - b. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9473141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 452534 - -573?\nAnswer: 453217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 2. Let j = 0.4 - -0.1. Let w = k - j. Sort w, 3, -2\/3.\nAnswer: -2\/3, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 47*v**4\/2 + 482*v**3 + 3531*v**2\/2 - 5071*v + 2800 = 0.\nAnswer: -14, -400\/47, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -109*l - 11662. What is s(-107)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1868183498.\nAnswer: 2, 934091749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 246716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 11*d. Let v(r) = -17*r. Determine c(v(u)).\nAnswer: -187*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ozfffffyyffo. Give prob of picking 2 y and 1 o.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 4*o**2 - 170*o - 48. Give a(11).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.381 - -0.009. Let r = -0.549 + o. What is r rounded to two decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 9*b**2 - 8. What is w(9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 2*v**3\/45 - 109*v**2 + 3268*v\/15 + 9793. Suppose i(b) = 0. What is b?\nAnswer: 1, 1634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -353883614 divided by 37\nAnswer: -9564422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**3\/6 - 7*i. Let v(y) = -4*y. What is v(f(j))?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m - 15454553 + 15454553.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4084 - 1?\nAnswer: 4083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5383579 and 225659?\nAnswer: 37685053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4\/13 + 730*w**3\/13 - 66528*w**2\/13 - 2363904*w\/13 + 400121856\/13.\nAnswer: -2*(w - 144)**3*(w + 67)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2 + 16*l - 9. What are the prime factors of c(6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3443499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2 + 6 = -y, 1 = 2*c - 5*y. Let d be 10 - (-6)\/(c + -5). Solve 3*z - 13 = -4*f + d, -5*f + 14 = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -202*q + 83*q + 31*q**3 - 290*q**3 - 33 - 119*q**2 - 86. Let h(x) = -13*x**3 - 6*x**2 - 6*x - 6. Calculate 6*a(t) - 119*h(t).\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -22 - 58. Suppose p + 5*y - t = -2, 0 = 2*y + 10. Let v be -2 - ((3 - 4) + p). Is v > -41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -12 + 19 + -8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 610, 578, 536, 478, 398?\nAnswer: 290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -6*b - 13\/2*b**2 + 0 - 8\/3*b**3. Is c(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 15*w**2 + 54*w - 28. Calculate j(-18).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -73 + 3d?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, l: 3, s: 2}. Give prob of picking 3 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -227*m + 15709. Give u(69).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (-34)\/28*2. Suppose -3*v = -3*f + 9, 2*v - 3*f - 10 = -5*f. Is r greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**2 + 4934774*a**3 - 4934780*a**3 + 2*a**2.\nAnswer: -6*a**3 + 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 230*l**2 - 7193*l - 7948. Calculate d(258).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24978*q**3 - 8322*q**3 - 8305*q**3 - 8283*q**3.\nAnswer: 68*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 c, and 1 s when three letters picked without replacement from ccrcrsccrcrrcu.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-9 + -9 + 18).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, h: 1, q: 3, n: 13, o: 2}. Give prob of picking 2 o.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -18*g + 2. Suppose -3*q = -8*q - 45. Let j(f) = f**2 + 10*f + 2. Let y be j(q). Let u be b(y). What is the greatest common divisor of u and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 5 - 3*r - 5)*(-6645*r + 16645*r - 7931*r) as u*r + z*r**2 + v and give z.\nAnswer: -6207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 196717 + -196952.119. Let p = 235 + t. Let z = 0.11899818 + p. Round z to 7 decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 12*v**2 - 14*v + 15. Let z be s(13). Put 11\/2, z, 4 in decreasing order.\nAnswer: 11\/2, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**2\/2 - 18*c - 134. Calculate j(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-324)\/24 + 15)*(-17)\/85?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303556 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 - 4 - (16 - 30).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.04518 + -0.35482. Which is the nearest to -1\/2? (a) 9 (b) 1\/5 (c) f (d) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/84)\/(6\/4)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/12 + 31\/6. Suppose 0*u = -m*u. Solve u = -f + 3*f + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233513287.\nAnswer: 7, 19, 1755739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**4\/4 - 4*r**3\/3 - 2*r**2 - 5*r - 1. Let a be i(5). Solve a*u + 1 = -4*y - u, -4*u + 15 = -3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -90 - -245. Let q = 154.9999921 - a. What is q rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -228 divided by -2.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 6:05 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357 = 4*v - 511. Suppose v = t - w, 2*t + 0*t + 2*w = 418. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-36)\/(-5))\/(-4))\/(1\/(-15)). What are the prime factors of 7016\/18 + 6\/t?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**2 - 3*v**2 - 3*v**2 - 2*v + 5*v**2 - 2 + 8*v**3 as p + m*v + i*v**3 + r*v**2 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22ba4 (base 13) in base 10?\nAnswer: 63509","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -371 + 390.3. Let h = x - 18. Which is greater: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a**2 + 3*a - 1. Let j be k(2). Suppose 11 = 4*t - j. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/13)\/(r**(2\/3)*r))**(-3\/7)*((r**(2\/9)\/r)\/r*r)**(-16)\/(r*r*r\/r**(1\/4)*r*r\/r**(-1\/2)) assuming r is positive.\nAnswer: r**(25693\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 703799?\nAnswer: 103, 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 11:39 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 6*b**2 + 4 + 14*b - 20 + 4.\nAnswer: 6*b**2 + 14*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 11:12 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 3 - (-24 - -34)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-4))\/((-1)\/8). Let n be 287\/(-28) + 6 - 6\/8. Is l != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5*1\/((-404)\/138 + 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0234 to 3 decimal places.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**8\/336 + d**7\/14 - 41*d**6\/60 + 33*d**5\/10 - 205*d**4\/24 + 25*d**3\/2 - 31*d**2 + 93. Let n(t) = 0. What is t?\nAnswer: 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 8383891.\nAnswer: 4\/8383891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -122*b + 65 + 59 - 124 as v + a*b and give a.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((2*sqrt(2057))**2 + -4)*6 - 1*(-4 + (sqrt(2057) - (0 + sqrt(2057))) + -1*sqrt(2057) + sqrt(2057) + 5)**2) + -1.\nAnswer: 49342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 60\/48*8\/8. What is the biggest value in g, -1.5, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 0*b**4 + 1\/30*b**6 + 0*b**3 + 1\/12*b**5 + 2*b**2 + 0 + 0*b. Find the third derivative of l(j) wrt j.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13797767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 - 62 - s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 329708.7 nanograms to tonnes.\nAnswer: 0.0000000003297087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/3 - 2\/6. Let s(y) = -y - 1. Let u be s(-5). Put 3, u, n in increasing order.\nAnswer: n, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13.4 + -7.2. Let w = 8.9 - r. Which is smaller: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/21 + 988*q**2\/7 + 52152*q - 314608\/3.\nAnswer: 2*(q - 2)*(q + 742)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 2*z + 69. Let o = 36 + z. Suppose -8*s - 10 = -o*s. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -654 - -661 - (-2 - 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121 + 1?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 2\/7, 2\/21, 3.\nAnswer: 2\/21, 2\/7, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 923.1107us?\nAnswer: 0.9231107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -1\/12633 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-15)*(-285)\/(-10)*(-102)\/(-51).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1410, -1436, -1456, -1470, -1478, -1480?\nAnswer: -1476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1493 - -8.1493. Suppose -h + 10*h - 180 = 0. Which is smaller: b or h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10504648 * 121\nAnswer: -1271062408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3511 + 223*s + 1757 + 1754 to the form b + p*s and give p.\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**5 - 36*k**2 - 73 + 73 - 5*k**3 + 90*k**2 wrt k.\nAnswer: -120*k**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 4*j. Let i be b(-3). Factor -1 - 8*x**2 + 11\/2*x + 7\/2*x**i.\nAnswer: (x - 1)**2*(7*x - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 4:55 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 3*d + 10 = 0. Are -2 and d unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/7, 612, 2\/17, -2\/3, -1, 0.4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22.3 - -31.3. What is the second smallest value in f, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 13471080.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*u + 30 = 0, -2*i + 12*u - 20 = 11*u. What is the third biggest value in i, 0.3, 1\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*(3\/(-8) - (-168)\/192).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 + 8*y - 8*y + (-y**2 - 2*y**2 + y**2)*(-2*y + 4*y - 3*y) + 2*y - 2*y + y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.0319 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 35120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 3, 3*b + 2 = 2*b - 4*k. Suppose 529 = b*v - 131. Calculate the remainder when v is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 11:39 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003301083573 rounded to 7 decimal places?\nAnswer: -0.0003301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -11*z**3 + 8*z**2 + 11*z - 2. Let b(m) = -7*m**3 + 5*m**2 + 7*m - 1. Let r(c) = 8*b(c) - 5*d(c). Determine r(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10895 (base 12) to base 6\nAnswer: 245505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 10:04 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-73)\/390 - ((513\/(-39) - -2) + 11)?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 - g**2 + (-2 - 3*g**2 + 2)*(-1 - 1 + 1) + ((g - 4*g + g)*(-4 - 1 + 6) - 5*g + 6*g + 30*g)*(g - g - g) to u*g + m*g**2 + i and give m.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 6 = -2. Let r(f) = -5*f**2 - 6*f - 17. Let h(q) = 3*q**2 + 4*q + 11. Let i(n) = 8*h(n) + 5*r(n). Let s be i(-1). Sort u, s, 4.\nAnswer: s, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -p + 2*x, 4*p = 2*x - 252 + 278. Solve -5*i - 2*z + 29 = 48, 21 = -p*i - 3*z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, a: 4, h: 2, u: 2, t: 1}. What is prob of picking 1 g and 1 t?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4918717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 5*c + 3, -12*o - 5*c = 11*o + 167 - 44 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((-6)\/(-102)) - 4\/2. Solve 0*y + 3*y = h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 322.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 - 52*u**2 + 11*u**2 + 7 + 36*u**2.\nAnswer: -2*u**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 19 + 5*z + 0*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 23 = -2*s + 3*s, -5*s - 2*v - 5 = 0. Is (s\/6)\/((-6)\/(10313 + -5)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1095?\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 566 is divided by 135\/(-27) + (-1)\/((-2)\/28).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 1 - 6 + f**3 - f**2 - 112*f - 3*f**2 - 107*f + 215*f. Calculate k(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 6*u**2 + u + 10. Let c be h(-6). Let l be (-2)\/8 + 1441\/c. Let y be (4\/5)\/(9*16\/l). Solve y*o + 10 = -0*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29798*a*x**2 - 14*a*x + 59*a - 5*x - 2 wrt x?\nAnswer: -59596*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -0.1, 4.58.\nAnswer: -17, -0.1, 4.58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 9:22 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 30533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 668 + -1822?\nAnswer: -1165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r**2 + 48*r - 162. Determine n(3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -495a (base 11) to base 15.\nAnswer: -1dbd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -71 - -103. What is the highest common factor of 8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 0)*(3 + 1 - 5) + (-1 - 3 + 2)*(-44 - 3 + 14))*(-4*b**4 + 0*b**4 + 3*b**4).\nAnswer: -65*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3 = -0. Let g(d) = i*d - 2 + 1 + 4 + 0. Calculate g(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -150001 (base 9) to base 4\nAnswer: -112123033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6866 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/6*51\/(357\/(-4)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4) + 15110\/20 - 1. Suppose -z + 5428 = 6*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 511 + -498. Solve -5*f = -5*x - 15, 0 = 3*x - 6*f + f + q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -7 - 14 - (605 + -556)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 4*a**4\/5 - 1977196*a**3\/5 - 126556928*a**2\/5 = 0.\nAnswer: -64, 0, 494363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1093, -1549, -1991, -2413, -2809, -3173?\n\"Answer: n**3 + n**2 - 466*n - 629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 592.3575m in millimeters?\nAnswer: 592357.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 201557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/4360 and -149\/66.\nAnswer: 143880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, 0.3, -2, -2\/3, -226.26?\nAnswer: -226.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7, -0.05, -3 in ascending order.\nAnswer: -4, -3, -0.05, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**5\/(l\/(l**1*l))*l**(-1)\/l**(-3) assuming l is positive.\nAnswer: l**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10152 + -6152. Suppose 0*w - h = -w. What is w rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -5*g**2 + 5120*g - 1310720 = 0.\nAnswer: 512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -109 - -109.3. Which is the third biggest value? (a) -4 (b) 2 (c) 45 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.751 and -2.3603796.\nAnswer: 2.3906204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.037 and -0.1226872.\nAnswer: 0.0045394264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-210)\/(-168)*-4)\/((-15)\/204)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-26)\/(-6) - 4)*0\/1. Suppose i = -10*q + 9*q + 39. Calculate the remainder when q is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + a = 23, -10 = -5*k + 5*a - 0*a. Suppose -x + j = k*j - 1030, -4*x + 4044 = -3*j. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 5*c - 50 + 14, 3*x = -2*c + 18. Suppose -42 - 90 = -c*h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2580884 divided by -38.\nAnswer: -67918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3553.63509 - 0.73509. What is d rounded to the nearest 10?\nAnswer: 3550","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*p**2\/3 - 15343*p - 26300\/3.\nAnswer: -(p + 6575)*(7*p + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (76\/(-6))\/((-2)\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/36 + 583\/9. Suppose x + g = y, -5*x - 2*g + 295 = -7*g. What are the prime factors of x?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 = 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0\/v)**(3\/26)*v**(-2\/7)*v**(5\/6)*(v**(-1)\/v**(-4))\/(v**(-2\/7))**(-4\/5) assuming v is positive.\nAnswer: v**(4373\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6777 and 57051.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 69453523849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 8*s**2 - 26*s + 94. Determine b(-12).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 636545?\nAnswer: 5, 7, 13, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3184234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 28, -1, 768?\nAnswer: 768","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*j - 361*j - 12772 = 0 for j.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/(-952))\/(58\/9048)?\nAnswer: 39\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80450178287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 353*s - 353*s - 2*s**2. Let r(o) = -42*o - 1. Give h(r(v)).\nAnswer: -3528*v**2 - 168*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -112339, -229214, -346089, -462964, -579839, -696714?\n\"Answer: -116875*r + 4536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 227, 241, 269, 317, 391, 497, 641?\n\"Answer: p**3 + p**2 + 4*p + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3577 - 1.224. Round q to 2 dps.\nAnswer: -1.58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 838224 and 333.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1226 + -0.112. Round j to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41008 - -41099. Solve 77*i - 42 = s*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1165144, -1165153, -1165162, -1165171, -1165180?\nAnswer: -1165189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 275 - 213. Suppose -6 - w = -5*x. Calculate the remainder when 149 is divided by x.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9973979 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 2 (b) 0.2 (c) -1 (d) 24 (e) -2 (f) -0.4 (g) -7\/95\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.00487 rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 14) to base 13\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a - 4?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 10:39 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**8*k)\/(k**(-40)\/k))**37 assuming k is positive.\nAnswer: k**1887","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 5 = 3*g - 4*g, 45 = -4*m - 5*g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + 2*sqrt(108) + sqrt(108) + -3)**2 - (4*sqrt(108)*2)**2) + 5*-3*(4 + 1 + sqrt(3))*-6.\nAnswer: -4725 - 54*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*r + 2*r + 3*r - 2*r**2 + 2*r - 21 to the form v*r**2 + a*r + j and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.406828, 3\/4, -0.5 in increasing order.\nAnswer: -4.406828, -0.5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 4) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22808 + -13722\nAnswer: 9086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 0.52277, 2\/3 in ascending order.\nAnswer: -3\/4, 0.52277, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(24\/(-10)))\/(6\/18).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 - 31?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -w + 4. Suppose 2*m + 6 = 0, 0 = 2*p - 4*p + 5*m + 77. Let x = 56 - p. Solve t = -w*t + x for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 3:52 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - (0 + (-6)\/9)) + -2. Solve 4\/3 + 4*g + k*g**2 = 0.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 1299284*z**5 + 1483524*z**4 - 45343928*z**3 - 174988024*z**2 - 181688412*z + 192052 = 0.\nAnswer: -19\/7, 1\/947, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: cf0eb (base 16) to base 4\nAnswer: 3033003223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 25\/2 of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 8*i**2 + 4*i - 27. Determine c(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (86 - 64 - 95)*(6 + 16 - 3)*(0*b - 2*b + b) + (3 - 1 - 1)*(-2*b + 0*b + 0*b) + 1 - b - 1.\nAnswer: 1384*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-19 + 4)*(-1)\/1. Suppose 414 = -12*h + p*h. Suppose h = -6*n + 1086. What are the prime factors of n?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 3*j - 11*j**5)*(0 - 4 + 1) - 3*j**5 + j - j + 3*j**5 + 3*j**2 - 3*j**2.\nAnswer: 33*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -406 minus -0.02215503954?\nAnswer: -405.97784496046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - -1.106.\nAnswer: 1.406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -16*c**2 + 11*c + 15*c**2 - 344 + 371. Determine x(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)\/sqrt(45) + sqrt(22))*-5 + (sqrt(3168) + sqrt(3168)*-1)*-6 + sqrt(3168))\/((sqrt(198)\/(sqrt(22)\/sqrt(2)))\/(-2*sqrt(900))).\nAnswer: -320*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (387\/(-15))\/(2\/(-5) - 14*12\/(-240))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**3 + 18*s**2 + 65*s + 93. Give m(-5).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - v - 2, -4*v - 45 + 49 = -2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*(h\/(h**(-21)*h)*h)\/h*h)\/h*h)\/h**(-7\/5)*(h*h**(-16))\/((h**(-13)*h)\/h) assuming h is positive.\nAnswer: h**(122\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 266\/4365 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 43.20119 * -0.4\nAnswer: -17.280476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**3\/2 + 4*x**2 + 13*x\/2 + 3 = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 458*2\/20 + 1\/5. Suppose -5*z = -y + 20, k*z + 16 = 42*z. Sort 1, -1, y in decreasing order.\nAnswer: 1, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/(-4 + (22185\/(-190))\/(-29)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7824.072 to the nearest 100.\nAnswer: -7800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 13. Let z be (n - -4) + -2 + 4. Suppose 0 = t - 2*t + z. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*s**2 + 23*s + 25*s + 82 - 171 + 89 in the form i + m*s**2 + n*s and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22*y**2 - 2*y**2 + 1491*y**3 - 1530*y**3)*(y - y - y) + y**4 - 3*y + 3*y - 7*y**2 to j + r*y + a*y**4 + m*y**3 + p*y**2 and give a.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-35)*o)**(4\/5))**28 assuming o is positive.\nAnswer: o**(-3808\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -8603, -3 in decreasing order.\nAnswer: 0, -3, -8603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j - 450*j**2 + 217*j**2 + 228*j**2.\nAnswer: -5*j**2 + 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 8*p - 2*p. Suppose -3 = t, t + p*t = 3*u - 21. Solve u*q = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1, -4, 4, -0.6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -y + 11, -4*v + 26 = y - 0*v. Let n(t) = -t**2 + 6*t. Let a be n(y). Suppose a = 4*m - b - 19 - 25, -3*b = 12. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -431.7 + 298.41. What is r rounded to 0 dps?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -1417 + 2*k**2 + 1417. Let d(c) = 21*c. Let u(p) = 32*p. Let h(f) = -8*d(f) + 5*u(f). Determine r(h(o)).\nAnswer: 128*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5499 and 6786.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25903, 51807, 77709, 103609, 129507?\nAnswer: 155403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -4\/3, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4*-298\nAnswer: -1192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36*i**3 + 67*i**3 + 6*i**3 + 56*i**3 + (-5*i**3 + 0*i**3 + 2*i**3)*(2 + 0 + 0).\nAnswer: 159*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03028 + 5.\nAnswer: 4.96972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x + x + 3 + x - 3*x. Let o be m(-3). Suppose o = -3*a - 3 + 9. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**2 + 3*a**5 + 3*a**5 + 2*a**2 + 4*a wrt a?\nAnswer: 120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m = n + 2*m + 2, 4 = -3*n - 5*m for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akkkkkakkkka. What is prob of picking 2 a?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/4))**(2\/7)\/(v*v\/((v**(-1)\/v)\/v)*v*v)**(-1\/54))\/((v**0*v)**(-1\/7))**29 assuming v is positive.\nAnswer: v**(794\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1999754989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 354603029 to the power of 1\/4, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 25*j**2 + 67*j + 26. Let z be p(-29). Let u = z - 172196\/119. Which is greater: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of y**4\/2 - 2*y**3 + 7*y**2\/2 - 6*y - 1. Let v be o(4). Suppose 0 = 3*i - 33 - v. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36 + -15 - 12) + 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/3)\/((-2)\/(-12)). Let q(l) = -6 - 3*l**2 - l + l**3 + 8 - 1. Let n be q(b). Solve 4*c + c - 4*o = -21, 4*o - n = -3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 7 (b) 489 (c) 2 (d) 3\/7 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-12) + ((-68)\/(-21) - 3).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/4*(-10)\/30)\/(2327\/(-179)).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 185*q**3 - 13*q**2 - 33*q - 13. Let i(g) = 45*g**3 - 3*g**2 - 8*g - 3. Determine -9*i(r) + 2*u(r).\nAnswer: -35*r**3 + r**2 + 6*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 62*b - 13*b. Let v be 5\/((-45)\/(-7)) - b. What is the biggest value in 5, 2\/119, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - ((-13797)\/216 - -55)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 12:05 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1009 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/1956 and 75\/326?\nAnswer: 1956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 271 + -271. Let l(p) be the second derivative of -1\/6*p**3 + 0*p**2 + z - 1\/5*p**5 - 5*p + 0*p**4. Find the second derivative of l(r) wrt r.\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -41124*h**2*p + 2*h**2 + 12162 wrt p?\nAnswer: -41124*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14, 30, 48, 68?\n\"Answer: l**2 + 13*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 o when two letters picked without replacement from {a: 1, o: 2, x: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1804\/21 + 600\/7. Let d be (4\/42)\/(2\/(-18)). Let s = a - d. What is the nearest to 1\/4 in 0.3, s, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + sqrt(209)*-2*1)\/(-1*sqrt(11)*-6) + ((sqrt(171) + sqrt(171)*-1)*5 + sqrt(171))\/(-1*sqrt(900)).\nAnswer: -4*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 2, -0.1, 0.4, -73?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 8) in base 16?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 8 = -3*h. Let x(y) = -4*y + 3*y + h*y. Let b(k) = 0*k**2 + k**2 - 3*k**2. Determine x(b(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q + 22*q - 5 = 0. What is the nearest to 1\/2 in q, 5, -16, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from nnksngkknnnnngggsgg?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5622 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from ggaagg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2))**(-9) assuming k is positive.\nAnswer: k**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.02 + 0.05. Let n = z + 0.97. Which is the nearest to n? (a) -1 (b) -5 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202947 is divided by 22462.\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000066581747 rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 12*u**2 + 22 + 46\/3*u**3 + 0*u. Find the second derivative of g(m) wrt m.\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2 - 3*o + 4. What is the lowest common multiple of 6 and j(5)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ju when two letters picked without replacement from uwwuwuwwwwwwwuwjbjw?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (1 + -14 - (670 + -595))?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2857*k. Let m(l) = 1024*l**2. Determine z(m(s)).\nAnswer: 2925568*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -284530.08 to the nearest 10000.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1938*v**3 + 6398.\nAnswer: -5814*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(45)*-2)**2*3.\nAnswer: -180*sqrt(5) + 615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 440325718?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = o + 1, 0 = 2*y - 30*o + 28*o - 10. Sort -4, y, -84.\nAnswer: -84, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1573 and 2265120?\nAnswer: 2265120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -12*w - 237. Let j be q(-20). Suppose 14*x + 11*x = -j*x. Factor 0 + 2*r**2 + 1\/2*r**4 + x*r - 2*r**3.\nAnswer: r**2*(r - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -272 + 277. Suppose 8*l = o + 5*l - 2591, g*o + 5*l = 13015. What is o rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -0.1, -0.2, 43.97, -47, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 6*g**2 + 5*g + 4. Suppose 3*h - 2*a = -324 - 271, -4*a + 20 = 0. Let l = -190 - h. Give t(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.4 + 17.4. Let r = -0.2 - -0.2. Sort s, r, 2\/5 in decreasing order.\nAnswer: s, 2\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**0*n)\/(n\/n**(-1\/4)))**3\/(n\/(n\/(n\/(((n*n**(1\/5)\/n)\/n)\/n)))*n*n\/(n\/(n\/(n*(n**2\/n)\/n))*n)*n*(n**(-2\/7)\/n*n)**(-1\/25)) assuming n is positive.\nAnswer: n**(-1093\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5832*r + 5827*r = y + 24, 3*y = 4*r + 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus -156837838?\nAnswer: 156837841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**2. Suppose 0*o = -3*o - 5*s - 20, -3*o = s + 4. Suppose 2*p - 2 = 4*k, -17 = -k - 3*p - o*p. Let j(u) = -3*u**2 + u**2 + u**k. What is j(f(n))?\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -1 - (-8 - -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31694960 - 15094960. Round c to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010874 to 5 dps.\nAnswer: 0.00109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + -2 - 2) + (10 - (72 + -39))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1169099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, 7, -4952, 1 in decreasing order.\nAnswer: 7, 1, -86, -4952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s - 5*s - 139*k = -133*k + 36, 2*s + 5*k + 48 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1042 (base 5) in base 10?\nAnswer: -147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4 + -2 + ((sqrt(325) + sqrt(325) + -1)**2 - sqrt(325)) + ((sqrt(325) + 3)*4)**2 + -5.\nAnswer: 455*sqrt(13) + 6645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4015076812 and -1.\nAnswer: 4015076811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-5 - 2) - 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + -2)\/(3*4\/(-84)). Let g(y) = -y**3 - 7*y**2 - y + 3. Let w be g(o). Suppose -w*b + 9*b + 11 = 0. Let d(q) = q**2 - 12*q + 3. What is d(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 154311 - 3120?\nAnswer: 151151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 13450, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 1.0138021636062.\nAnswer: -3.0138021636062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42.99999943 + 43. What is l rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 17, -40 in decreasing order.\nAnswer: 20, 17, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**3 - 3*o**2 - 28 + 28 to the form l*o**2 + h*o**3 + d*o + z and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14432223 + 2?\nAnswer: -14432221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -4*j + 4. Let z(s) = s**2 + 1. Let m(p) = u(p) + 4*z(p). Determine m(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = 10*a - 42. Solve -4*x - a = -0*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, -3, -5 in decreasing order.\nAnswer: 43, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19152894.\nAnswer: 2, 3, 3192149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 0)*(308 - 614 + 314 + 2*v**2).\nAnswer: 6*v**2 + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 6*m**3 + 4*m**2 + 6*m + 3. Let k(j) = -3*j**2 - 5*j - 4 + 2 + 0 - 5*j**3. Calculate 4*k(z) + 3*n(z).\nAnswer: -2*z**3 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194281?\nAnswer: 23, 8447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v + 101 = 4*y, 278543*y = 5*v + 278539*y - 25 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-170585)\/(-218) + -1 + (-6)\/(-4)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008836665209 rounded to 5 decimal places?\nAnswer: -0.00884","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 4*i - 107, 2*i + 83 = 2*c - 3*i. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 46282.\nAnswer: 46282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 - (-6469)\/(8*4\/352) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 79308565949\/990 - 801390471\/10. Let p = a + 29384. Calculate the common denominator of p and 9\/8.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14.7 + 14.8. Let t(p) = p**3 - p - 2. Let g be t(0). Put -0.4, g, 2\/5, r in decreasing order.\nAnswer: 2\/5, r, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 9. Suppose 4*p = 3*x + 484 - 516, 4*x - 36 = 4*p. Put x, 3, w in decreasing order.\nAnswer: w, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/9))**(-36)\/(h**(-2\/9)\/(h**(-2\/7)*h)))\/((h**(-6)*h*h*h**4)\/(h*h*h**(-1\/6)*h**3)) assuming h is positive.\nAnswer: h**(1735\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.36 and 95?\nAnswer: -129.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1307686 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 806372351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22728 - 22728 + 2074*i**2 to a*i**2 + b*i + o and give a.\nAnswer: 2074","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 39 - 14, 1745 = 2*d + 5*o. Suppose 12*z = 7*z + d. Suppose 0 = -3*b + 5*h + 497, -3*h + z + 336 = 3*b. Does 26 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -2*42\/40. Let k be (0 - (0 - -1)) + -3. Let q be -3 + (-3 - (-11 - k)). Which is smaller: q or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 10 = -6*h + 5*h, -3*h + 6 = -4*k for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (8 + -35) - (-300 - -211)\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16845, 16884, 16973, 17130, 17373?\nAnswer: 17720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzzzyzzy. What is prob of picking 1 z and 2 y?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 257 + 901178?\nAnswer: 901435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -615 - -659. Calculate the smallest common multiple of 176 and x.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**4\/4 - 5*s**2\/2 - 3. Let f(v) = v**3 - 4*v. Let o(n) = 6*f(n) - 4*g(n). Find the second derivative of o(k) wrt k.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*z - 15*z = 260 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*g = 4*h - 263, -5*g = 20. Let p = 23 - 10. What is the remainder when h is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/14088350 and -77\/48?\nAnswer: 338120400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2508 and 95700?\nAnswer: 1818300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3 = 9. Let z = c + 7. Suppose 4*n - z*t - 32 = 0, -t = n - 0*t + 2. Which is bigger: 2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 15 = 0, 3*n + 0*n - 3*y - 33 = 0. Is 2 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5*m + 2358. Let c = -1106 - m. What is c rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71315 (base 11) to base 15\nAnswer: 20d17","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(-9\/10)*k)\/(k*(k*k*k**(-2\/81)\/k*k)\/k*k))\/(k**(12\/5)*k**22) assuming k is positive.\nAnswer: k**(-20473\/810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 6)*(-250 + 2*z + 211*z**2 + 250).\nAnswer: -211*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**3 - c**2 + 2*c. Let d be r(1). Which is smaller: d or -2\/343?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078797571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-28)*((-1496)\/(-33))\/(-34).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 - -0.07. Let v = 0.39 - -3.61. What is the second smallest value in -3, h, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -744 - -1242. Is (u\/(-9))\/((-4)\/6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0*k = -3*k, 4*b + 1 = 3*k. Let q(i) = -15*i**2 - 2*i - 1. Calculate q(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from huhuuuhuhhuh. Give prob of sequence uuu.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g + 67. Is 4 a factor of m(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.01 (b) -1\/6 (c) -51669\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158145 is divided by 63.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 1. Let i(o) = -o**2 + 9*o - 8. Let h be i(8). Suppose 7*f - 19 - 9 = h. Sort -2, f, t.\nAnswer: -2, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + 3 + sqrt(396) + sqrt(11) + 4.\nAnswer: 7 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eep when three letters picked without replacement from {p: 2, e: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**4\/4 + 3*j + 1. Let x be (1\/((-2)\/(-5)))\/(7\/14). Let h(y) = y - 6*y + 6*y - x*y. What is h(l(c))?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**3 - 7*x**2 + 21*x - 19. Let t(k) = k**3 - 2*k**2 + 7*k - 7. Let v(r) = -6*d(r) + 17*t(r). Determine v(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bss when three letters picked without replacement from {f: 7, b: 2, h: 3, s: 5, a: 3}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12216 and 11209707.\nAnswer: 1527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 15 - -9) + 6 + 10 + 1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2 = -3*a - 5, 0 = b + 2*a - 5. Suppose 15 = 2*c + b*w - 4, 2*c + w = 13. Solve 0 = o - 5*o + 4*p, -4*o - c*p = -27 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-24)*y**(-13))**(-4\/9) assuming y is positive.\nAnswer: y**(148\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10714, -21506, -32296, -43084, -53870?\nAnswer: -64654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 3*q - 258. Suppose n - 146 - q = 0. Let a = n - 194. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 21004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 340.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/32013792 and -149\/7452.\nAnswer: 32013792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -268*t**2 + 121*t**2 + 149*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 11:24 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-36)\/5 + 8\/40. Let l = i - -15. Solve -4 - l = -4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24544 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.4 + -1. Let r = 0.1 - d. Which is the nearest to 1? (a) -0.2 (b) 1\/2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32061 + -22538. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6640 - 6633. Put -4, m, -10 in ascending order.\nAnswer: -10, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (81\/(-12))\/((-3)\/8). Suppose n - x = -n. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 15\/6*110\/25?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -10000100?\nAnswer: 10000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 + -0.3. Let c = -520.2 + 2.2. Let m = 517.8 + c. Sort z, m, 1, 5 in increasing order.\nAnswer: m, z, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 2*y + 14 = 0, 29 = -17*r + 22*r - 3*y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -333000303 (base 4) to base 8\nAnswer: -770063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 1)*11\/11. Suppose 6 = r + 3*m, 4*r - 1 - 23 = m. Let i = 5 + r. Solve -l*b = i - 1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 - 6892 = -110*m. What is the greatest common divisor of m and 3520?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5850118 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61877 is divided by 1560.\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 a when four letters picked without replacement from {j: 1, q: 1, e: 3, t: 5, a: 4}.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7331800 rounded to the nearest 100000?\nAnswer: -7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*3\/24*2*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f + 5. Suppose -3*g + 9 = -2*k, -5 = -0*g - 4*g + 5*k. Determine t(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q*x**3 - 2*q*x**2 - 76*q*x + 271123*x**2 + 6606*x - 1 wrt x?\nAnswer: 12*q*x - 4*q + 542246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -168983*c*g*v*y**2 - 6*c*g*v - 2*c*g*y**2 + 2*c*g*y - 2*c*v*y - 5*c*v + 4*c + 35*g*y**2 + 2*g*y + 40*g - 4183*v*y wrt y.\nAnswer: -337966*c*g*v - 4*c*g + 70*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*t - 4*t + 12*t - 19*t.\nAnswer: 25*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 - 367336*a + 9552088.\nAnswer: -2*(a - 26)*(a + 183694)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -14, 79, 214, 379?\nAnswer: 562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2884*f = -3*u - 2879*f - 50, -2*f + 51 = 5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -5*x**3 - x**2 + 0*x**2 + 2*x + 8*x**2 - x**2 + 1. Is j(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 112 + -109. Let x = 13 + -11. Solve -r = x + h for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 162.792892 to one decimal place.\nAnswer: 162.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide ((6\/(-6))\/1)\/(23538\/3924 + -6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**2 - 9*l + 5. Let w be j(0). Solve -4*o - 18 = -0*o - 2*x, -w*x = -4*o - 33 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 994 and 1.\nAnswer: 994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 1. Let s = 45 + -48. Which is the third smallest value? (a) s (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10043 - 1442?\nAnswer: 3101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + (2 - 1))*6. Let c(r) = 4*r**2 - 12*r + u*r. Let i(g) = -6*g - 764 + 764 + 4*g. Give i(c(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 - 10*x**2 + x + 4. Let q be a(4). Let k be (-14)\/6 - 8\/q - 1. Let c be 7\/((-7)\/k) - -2. Solve 3*f - 2 = -c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**2 - 49 + 0*k**2 - 18 + 1 in the form y*k + q + c*k**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*u**2*w**2 + u**2 - u*w**4 + 5101*u*w - 31*u - 9257 wrt w.\nAnswer: 34*u**2*w - 4*u*w**3 + 5101*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 2*n + 92, 5*x = x - 3*n + 170. Suppose 2*b + 30 + x = 0. Let j = b + 65. Round j to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 1) + -3 + 14. Let d = -6 + c. Is 11 a factor of d\/(-14) + (-45)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -1)*15\/(-30). Suppose d = -w - 5*w + 2382. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -640 * -0.004.\nAnswer: 2.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 602814015 to the nearest integer?\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5219 is divided by 1027?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -94 (base 13) to base 7\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ck when two letters picked without replacement from {o: 2, r: 1, d: 1, c: 2, h: 1, k: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (500 - 472) + (0 - (-2 - 76))?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 376905800 to the power of 1\/4, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -23a?\nAnswer: 23d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20231551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m + 12. Let c be i(-9). Let y = c + 4. What is the greatest common factor of 49 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**2 - 15290*d - 11689205 = 0. What is d?\nAnswer: -1529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -258, -3\/8, -1.\nAnswer: -258, -1, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c**3 + 8232*c**2 - c + 1081299 wrt c.\nAnswer: -3*c**2 + 16464*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45910\/(-220368)*6\/(-20).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -13. Sort 2\/7, -0.2, v in descending order.\nAnswer: v, 2\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**2 - 9*a - 12. Calculate the remainder when g(-3) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 3\/1*1. Let j = l - 7. Calculate the common denominator of -1\/4 and 140\/j + (-2)\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47 (base 9) to base 10\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 42 - 6 + 5 + z. Let o be i(0). Suppose -5*s + 23 = 3*j - 2, -2*s = -5*j - o. Calculate the remainder when 14 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 533?\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -h**3 + h**2\/2 + h + 76. Suppose y - 3*y + 8 = 0. Let p be (-4)\/(-16) - (-11)\/y. Calculate w(p).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1214 times -0.0957\nAnswer: 116.1798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**6\/d)\/(d\/(d\/d**4)))\/(d**(-6\/11)*(d*((d**(-2)*d)\/d)\/d)\/d))**(-20\/11) assuming d is positive.\nAnswer: d**(-1000\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 2 - 1\/6*w**3 + 0*w**2 - 11*w. Let m(f) = 37*f**2. What is j(m(y))?\nAnswer: -37*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1469427874 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1*(6*sqrt(64)\/sqrt(2) + sqrt(1568) + -2*sqrt(1568)) + (sqrt(352) - sqrt(352)*-2*6)\/((1*sqrt(77))\/sqrt(7)))**2.\nAnswer: -224*sqrt(2) + 6276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/28 of a week?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 5*m + 390, 353 = 4*k - 2*m + 31. Let u = k - 40. Let t = -53 + 75. Calculate the remainder when u is divided by t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/2 - 225727*m - 40171485\/2.\nAnswer: -(m + 89)*(m + 451365)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-140)\/(-800) - ((-4)\/16 - 3\/(-60))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.067 * 130590\nAnswer: 8749.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/72*4 - (-8860)\/30. Suppose 14*k - 13*k = 33. What is the highest common factor of k and n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29 - 8?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 44.424 and -2.\nAnswer: 42.424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 25 = 56. Let d = 1 - -2. Calculate the greatest common factor of d and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 392 + -369. What is the greatest common factor of 184 and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1030442685*j*w**2 + 8678*w**2 + 1917*w + 4 wrt j.\nAnswer: 1030442685*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**3*f**2*w - 36*c**3*f*w**3 + 5*c**3*w**2 + 5*c*f**3*w - 2*f**3*w**3 - 2*f*w**3 wrt w?\nAnswer: -216*c**3*f - 12*f**3 - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -o**5\/12 - 7259*o**2. Suppose -2*h - 4 = -2. Give y(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**9\/504 - 17*m**8\/56 + 37*m**5\/15 + 23*m**2 + m. What is the third derivative of i(t) wrt t?\nAnswer: -120*t**3 - 6120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -1350*d**2. Let t(y) = 100*y**2. Determine t(q(h)).\nAnswer: 182250000*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2225 and 250?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 11*q - 9 = 0. What are the prime factors of q\/6*(117 - -5)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1277 - 56189\/44. What is the common denominator of x and -73\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**2\/8 + 275639*z\/4 + 75976858321\/8 = 0.\nAnswer: -275639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5126832 plus -2.24?\nAnswer: 5126829.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*k**2 + 17*k**2 - 25*k**2)*(-2*k + 0*k + k + (-3 + 3 + k)*(0 + 0 - 2) - 4*k - 3*k + 5*k).\nAnswer: -30*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/12*(-2)\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 431 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 11 = 39. Put -2, z, 0 in decreasing order.\nAnswer: z, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27133.\nAnswer: 43, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, -19 in descending order.\nAnswer: 6, 1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -7, -45, -10, -0.062, 0.4, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -767*a + 232050 = -377*a - 376*a. Is 31 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/28, 2, -4207, -1, 4 in ascending order.\nAnswer: -4207, -1, -3\/28, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.041014 and 0.8?\nAnswer: 0.841014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24635501 is divided by 773?\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 1\/8, 0.1, 0.1388, 7, -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -8, -4 in descending order.\nAnswer: -4, -8, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of l**3\/3 - l**2\/10 + 32. Factor a(u).\nAnswer: u*(5*u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of q**6\/30 - 14*q**3\/3 + 21*q**2 + q - 2. What is the first derivative of j(u) wrt u?\nAnswer: 4*u**3 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zv when two letters picked without replacement from {d: 2, z: 1, v: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12959678?\nAnswer: 2, 17, 381167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 26. Let v(z) = -10*z + 2. Let y(o) = 3*o. Let d(p) = -2*v(p) - 6*y(p). Give d(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -6*y**3 + 5*y**2 - 15. Let q(g) be the third derivative of g**6\/120 - g**5\/60 + g**3\/2 - 16*g**2 - 2. What is 11*q(w) + 2*z(w)?\nAnswer: -w**3 - w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**4\/7 - 127444197*s**3\/7 + 1804669303478598*s**2\/7 - 8518320640830240258492*s\/7 + 8518318836161064224088\/7 = 0 for s.\nAnswer: 1, 14160466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -252 by -21.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5 - 1 = 0. Let k(f) = -f. What is k(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 4*f - 50, d - 1 = 2*d + 3*f. Suppose -263 = -5*k + 4*c, -k - 25 = -c - 78. What is the remainder when k is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 432 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 6*d = -23*d + 84. Calculate the greatest common factor of d and 8332.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 149 = -k, k - 61 = -2*d + 2*k. Let a = 65 - d. What is the greatest common factor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2811011962?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1423*s**2 - 306*s + 1362956 wrt s.\nAnswer: -2846*s - 306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1) + 1 + 0 + 410 + -407?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 63855*v**3 + 86*v**2 - 86*v - 516. Let l(b) = -2202*b**3 - 3*b**2 + 3*b + 18. What is -86*l(u) - 3*p(u)?\nAnswer: -2193*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 69\/12 + 11\/(-4) + 2. Suppose 2*i + 12 = u*i. Solve -2 = 3*l + 5*p - 34, 4*l = i*p for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 696*s**2 - 116*s + 1054. Is l(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**3 + 0 - 50\/3*z**2 - 12*z + 2\/3*z**4 = 0 for z.\nAnswer: -2, -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 1 + 1. Let z(a) = a + 4. Let s be z(-2). Suppose -l - 9 = 3*t, 0 + 3 = 5*l - t. Solve -r + l*r + s*f = 1, d*r + 2 = -f for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 - 106123*a**3 + 106107*a**3 + 3*a**2.\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21248547 is divided by 20256.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30984 is divided by 6259?\nAnswer: 5948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**3)*l**(3\/4))\/(l**(5\/2)*l**(-1\/6)*l))**(-2\/39) assuming l is positive.\nAnswer: l**(-5\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of r**6\/360 - 6*r**5\/5 + 216*r**4 - r**3 - 3*r + 19. Let w(s) be the third derivative of d(s). Find j, given that w(j) = 0.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -9) + -57 + 50.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (1 + (-1 - 10)). Let y = o - -6. Let j = 10 + 31. Calculate the remainder when j is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (98\/(-21))\/(6\/(-9) + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390 = -7*w + 2*w. Let u = 145 + w. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 88*p**2 + 7*p + 27. Let h(x) = -89*x**2 - 8*x - 30. Let g(o) = -9*h(o) - 10*i(o). Let d(a) = -4*a**2. Calculate g(d(b)).\nAnswer: -1264*b**4 - 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 + -198. Let h = b + 341. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 865, 839, 789, 709, 593, 435?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 1 + ((-32)\/10)\/((-52)\/30). What is the closest to 2 in y, 0.019, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**3 - 8*u**2 + 11. Let k be l(3). Which is the second biggest value? (a) 5 (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (-78 - -66 - (2 + -9)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2501283 and -677.\nAnswer: 2500606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*d = -157*d - 78 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -15135 times 0.3\nAnswer: -4540.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 136823807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = m + 39. Let t = -7 - m. Suppose -2*y = -3*y + t. What is the highest common divisor of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d + 2*d + 0*d - 6*d.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 2. Suppose -4*z + 11 + 101 = x. What is the remainder when 109 is divided by z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 407680 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*x + 6 = 13, -x + 9 = 2*o. Let z be ((-62)\/10 - -7)\/(1\/10). Let s be ((-32)\/z - 4) + 4. Put o, s, -1 in decreasing order.\nAnswer: o, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 111 - 63. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.15 - -0.11. Are 2 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28\/17*i - 2\/17*i**2 - 98\/17.\nAnswer: -2*(i - 7)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 20 (c) -1\/7 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0549 + -0.005798. Let r = 52.9 - 52.949. Let k = l + r. What is k rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - y - 2)*(8 - 3 + 4)*(37235 + 37488 - 73939).\nAnswer: -7056*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 10*l**2 + 10*l + 15. Let p be u(11). Let a be p\/(-10) - 18\/5. Let j = 9 + a. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, w: 1, c: 1, f: 1}. Give prob of picking 1 f, 1 o, and 2 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 7 = 21. Which is greater: o or -31\/5?\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-4 - 4 - -19) - -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*o - 345. Let w = 122 + o. Let q = w - 32. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -10, 11*g - 38 = -12*z + 8*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**2 + 3*u**2 + 25*u + 1 - 2*u**2 + 5*u**2 + 2 in the form m*u + s + l*u**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 627 - 624. Let z = 8 + -10. Let o(t) = t. Let p be o(z). Which is the second smallest value? (a) p (b) -2\/3 (c) -3 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62700 divided by 49\nAnswer: 62700\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.166 - -2.6. Let x = -0.434002705 + k. What is x rounded to seven decimal places?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 + 54 = 2*t. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 + 180*q**2 + 369*q + 186.\nAnswer: -3*(q - 62)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7027 = -10*r + 12193. Is 28 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -43*w**4\/24 - w**3\/2 - 6*w**2. What are the prime factors of h(-5)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -5*c - 91081, 2*z + 202*c - 45533 = 197*c. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1480 and 14819129?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000110 (base 2) to base 3.\nAnswer: 2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7995183*z**3 + 7995277*z**3 + 4 - 3.\nAnswer: 94*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437114 is divided by 145054?\nAnswer: 1952","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 43\/20 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-860)\/258*(-9)\/(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 117\/160073 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83524.\nAnswer: 2, 7, 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 3*p - 2. Suppose b + 124 + 24 = -5*r, -4*b = -8. Let j be 984\/9 - (-10)\/r. Let y = 112 - j. Give v(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2*g + 1406, 3*y - 2106 = -3*g + 6*y. Let d = g + -695. Calculate the remainder when 33 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.076158042 rounded to 5 decimal places?\nAnswer: -0.07616","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + 0*x - 5*x)*(-x + x - x) + 4*x**2 + 0*x**2 - 3*x**2 + (x + x - 4*x)*(-x - 2*x + 2*x) - 1378*x**2 - 980*x**2 + 427*x**2.\nAnswer: -1926*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 - 2b5?\nAnswer: -2aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8 - 700\/80)\/((-1641)\/8). Let r(p) = p - 5. Let s be r(6). Which is bigger: v or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4 + -2 - 1393252\/(-595)) + 2\/5 is divided by 78?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 566877638 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384*i - 387*i + b = 2*b + 19, 32 = -4*i - 3*b for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2041*a**3 - 2*a + 448?\nAnswer: 12246*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29632*g**3 + 29649*g**3 - 59279*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -103*u - 20. What is the units digit of n(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*f - 3*x - 43, 5*f + 14*x - 13*x = 2 - 11 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a second in milliseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rirndbbddrziibr. What is prob of sequence dr?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2611\/2 + 1266. Find the common denominator of p and ((-9)\/6)\/((-6)\/(-154)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 2 (c) -4637\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1937339 to the power of 1\/2, to the nearest integer?\nAnswer: 1392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*y + 6*y + 40. Solve -g + 23 = 4*k, 4*k = y*g + k + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -6*s - 2*s**3 + 6*s + 8*s**2 - 14. Let t(y) be the second derivative of y**5\/20 - y**4\/4 + 5*y**2\/2 + y. Calculate -3*h(r) - 8*t(r).\nAnswer: -2*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 629748*r**3 + r - 59033 wrt r.\nAnswer: 3778488*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7.072906 times -0.4\nAnswer: 2.8291624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, -5, -14, -3, -0.06?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3018158 is divided by 29.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 194*z - 37. Give f(2).\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*o**6 + 3*o**4 + 35*o**2 - 48.\nAnswer: -1680*o**3 + 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4310799 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1558561?\nAnswer: 1558561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qaa when three letters picked without replacement from {a: 4, s: 1, q: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + 3*m - 13, -4*m + 3*m + 1 = -2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence to when two letters picked without replacement from toototo?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 4*z = -21 + 9, -3*k = -4*z + 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 7*j + 6. Let k(p) = -7*p - 2. Let w be k(-1). Let a be (w\/(-10))\/((-1)\/4). Let i be 776\/72 + a\/9. Let m(u) = -13*u - 11. What is i*y(v) + 6*m(v)?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2837 is divided by 664?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 1. Let y(v) = -46*v - 9. Suppose 5*m - 5 = 3*s + 4, 3*s - 2*m = 0. Let d(k) = s*f(k) - y(k). Find the first derivative of d(j) wrt j.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10022011121 + 212?\nAnswer: 10022012110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*j**3*k*n + 1515*j**3*n - 2*j**2 + 137*j*k + 2*j*n - 4*k + 2*n wrt j.\nAnswer: 108*k*n + 9090*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ufu when three letters picked without replacement from ssjfusjjjfgjjjjuugf.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7 - 8*r**3 - 8*r**4 + 3 + 8*r**3 wrt r.\nAnswer: -32*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5*x + x**2 - 6*x - 3 + 8. Let k be s(11). What is the closest to 0 in k, 0.03, -1\/6?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1101011010110001 (base 2) to base 15\nAnswer: -11441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 27*o + 1071. What is l(-40)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1505*u**3 + 425*u**3 - u**4 - 26*u**2 + 3*u**4 + 397*u**3 + 533*u**3 in the form t*u**4 + j*u**3 + a*u + o + d*u**2 and give j.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -331.99 + 332. Which is smaller: -11 or r?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-21)\/14)\/((-2)\/4). Suppose -f*d + 16 = 1. Suppose -d*l + 125 = -0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -134\/3 - -45. Let g be 1 - 3 - 7\/(-3). Factor -n + g*j**3 + 1\/3*j**2 - 1\/3*j.\nAnswer: (j - 1)*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4040, 15, 30, 6 in descending order.\nAnswer: 4040, 30, 15, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 36*o**3 + 9*o**2 - 24*o - 20. Let m(r) = -109*r**3 - 25*r**2 + 74*r + 55. Give -4*m(i) - 11*v(i).\nAnswer: 40*i**3 + i**2 - 32*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 465477.\nAnswer: 3, 17, 9127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*v = 66 + 65, s + 4*v = 47. Let z = s + -21. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.07 + 0.23. Let g = t + -0.2. Suppose 0 = -10*o + 5*o + 15. Which is bigger: o or g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719326830 to the power of 1\/3, to the nearest integer?\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12375\/(-1764) + 7)\/(-7 - 106\/(-16))?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1130\/(-5650))\/(8\/(-25))\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 123127, 123153, 123205, 123295, 123435, 123637, 123913, 124275?\n\"Answer: 2*a**3 + a**2 + 9*a + 123115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 71665929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 42*m**2 - 402*m - 79. Let s be x(27). Solve -17*j + 135 = -s*j for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-2*sqrt(156))\/sqrt(12) - (4*(4 + sqrt(1573)))**2)*6.\nAnswer: -152544 - 8388*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/22 + (14904\/99)\/9. Solve -49*h = -s*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 6*c. Let h be 3 - (2 - 2)\/(-2). Suppose h*z - 15 = -2*z, 3*o + 4*z - 24 = 0. Sort c, o, -2 in ascending order.\nAnswer: -2, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 times -42625?\nAnswer: 1875500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -26*z**3 - 2*z**2 - 66*z - 135. What is u(-2)?\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(-3))*i)\/i*i*i\/((i*i**1\/i)\/i))\/(i\/((i\/i**(-3))\/i)*i**(-5)) assuming i is positive.\nAnswer: i**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + q + 11 = 0, q - 4*q = 9 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2294.1 to the nearest ten.\nAnswer: -2290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -80*d*p**3 - d*p**2 + 1336619*p**4 - p**3 - 19899*p**2 - 1515*p wrt p?\nAnswer: -480*d + 32078856*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7166616 or 7166614?\nAnswer: 7166614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 856212 is divided by 359.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5636 - 783. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*j + 980 = -15*j. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5774*a + 6139*a + 3 + 3 - 4.\nAnswer: 365*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one sixteenth of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h\/h**(-14))**(2\/5)\/(h**(-3\/2))**(6\/7) assuming h is positive.\nAnswer: h**(283\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -41 (b) 1\/3 (c) 0.245 (d) 1 (e) 6 (f) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence te when two letters picked without replacement from teffeeetnkeetttk?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 699863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 84684 divided by 6591?\nAnswer: 28228\/2197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, -4\/23, 0.4, -2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 8*p**2 + 4*p + 4. Let i(s) = s**3 - 9*s**2 + 4*s + 5. Let j(f) = 3*i(f) - 4*z(f). What is j(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 14 + 4. Let x = 11 + 2. Solve 4*p = -f*z + x, -4*p - 2 = 3*z - 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1839 divide 186988874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**4 + 296*u**3 + 9466*u**2 + 91756*u + 275184 = 0.\nAnswer: -108, -26, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 99707 take away -0.029?\nAnswer: 99707.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -39072249.\nAnswer: 5\/39072249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 354 = s, 5*j + 789 = 3*s - 281. Calculate the highest common factor of s and 560.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3632 is divided by 428?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 34\/5 of a millennium?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.923294 rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 5, q: 13}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1072961 is divided by 1323?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q**6 + 257*q**5 - 1958*q**3 + 2273*q**2 - 38*q - 6.\nAnswer: -240*q**3 + 15420*q**2 - 11748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57 + 9607075520.\nAnswer: 9607075463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 827 = 384*t - 383*t. List the prime factors of t.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -192*c + 142*c + 66300. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 6*q**2 - 138*q - 456. Give x(26).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 48500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 577903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of x**7\/350 + x**6\/200 - x**5\/50 + 12*x**2. What is u in r(u) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*k + 426 = -72*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1090877 * 0.3\nAnswer: -327263.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/35, 2, -9, -0.4, 182?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 249.1 - 211. Let q = z + -38.5. What is the third biggest value in 1\/4, -2\/11, q, -0.04?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 2*o**2 - 7. Let y(m) = -33*m + 94*m - 30*m - 41*m. Calculate y(p(r)).\nAnswer: -40*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -153863.8 and 654?\nAnswer: 154517.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5734, 22940, 51616, 91762?\n\"Answer: 5735*t**2 + t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 903.680754 to zero decimal places.\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-60)*-5*3*-3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198090 is divided by 198003.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05029 rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005276 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2055.16 - 2107. Let s = 49 + l. Let p = -0.06 + s. What is p rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4603 - 4182. Calculate the remainder when o is divided by 39.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 236078, 472183, 708290, 944399, 1180510, 1416623?\n\"Answer: p**2 + 236102*p - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 1. Let y be s(-6). Let b = y - 5. Solve -4*c + 8 = -b*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33200 is divided by 2951.\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2 - 5*p - 6. Suppose -305*v = -308*v + 12. Calculate i(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**5 - 2*f**5 - 2*f**5 + (-2*f + f - f)*(0*f**3 + f**4 + 0*f**3) + 32*f**5 - 12*f**5 - 19*f**5 - 3*f**4 - 1.\nAnswer: -2*f**5 - 3*f**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 48*l + 133*l - 4 + 2 to the form t*l + b and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -4*t + 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 368254066 to the power of 1\/2, to the nearest integer?\nAnswer: 19190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.3 - 4.3. What is the closest to -2\/3 in 0, 2\/3, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t\/(t\/(t**(-7\/5)*t)))\/t*t*t*t)**(-1\/57) assuming t is positive.\nAnswer: t**(-13\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 4, 1\/8, 5, -0.1, 24?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5096 + -3514. What are the prime factors of d?\nAnswer: 2, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0107418172 rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y + 0*y + 0*y - 3*y**2 - 2. Let n be h(2). Let z(r) = -10*r - 3. Is z(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76 + 76.5. Let i = 105 - 736\/7. Which is the third smallest value? (a) i (b) q (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -1120*z - 12818. Calculate the remainder when b(-12) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x - 3. Let y(m) = -4*m - 11. Let t(v) = -22*o(v) + 6*y(v). Let d(z) = 4*z. Give t(d(j)).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, -85, -354 in decreasing order.\nAnswer: 50, -85, -354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -8*u. Let c(o) = -20. Let t(v) = -v - 1. Let g(z) = -c(z) - 2*t(z). Give y(g(f)).\nAnswer: -16*f - 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f**2 + 2*f - 2. Let k(p) = p**2 + p - 1. Suppose 0 = j + 4*j - 15. Suppose 2*c - 4*m = -0*c - 26, 4*c = j*m - 27. Give c*s(o) + 6*k(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1532402 and 7654?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/(-12) - (0 - -4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/((g*((g\/g**(-2\/3)*g)\/g)\/g*g)\/g)*g)\/g)\/(g*g*g\/(g**5\/g)*g))\/(g**(-3\/5)*(g\/g**(-5\/4))\/g) assuming g is positive.\nAnswer: g**(-79\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 48179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 362.9278 centimeters?\nAnswer: 3629278000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 - 46. Let v(q) = -4*q**2 + 6*q + 3. Let z(a) = 5*a**2 - 7*a - 4. What is l*z(p) + 4*v(p)?\nAnswer: -p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of x**4\/12 - 515*x. Let d(b) = -927*b + 1. What is a(d(h))?\nAnswer: 859329*h**2 - 1854*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 divided by -45?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 386, 1033, 2112, 3623, 5566, 7941, 10748?\n\"Answer: 216*n**2 - n + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1e2 (base 15) in base 8?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.03 (b) -1\/2 (c) -128\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16 - (-1 + 6) - (2 - -4). Solve -27*f - 76 - d = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -94 - (-50 - 21) - (-3 + 16).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 2*2 - (-13 + -108)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -102.7021.\nAnswer: -30.81063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/11 in 1\/6, 1, -4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -59 or 0.037286?\nAnswer: 0.037286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - g**2 + 3*g + 5. Let b(m) be the third derivative of m**6\/120 - m**5\/30 + 7*m**4\/24 + 11*m**3\/6 + m**2 + 206*m. What is 3*b(i) - 7*y(i)?\nAnswer: -4*i**3 + i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 - -57. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, k: 1, l: 2, e: 1, f: 1, j: 1}. What is prob of sequence oj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 138 + -95. What is the remainder when 128 is divided by j?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*j - 26*j + 5*l - 99, 5*l = 5*j + 75 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k*k\/k**(-2\/3)*k*k*k)))\/((k**(-7)\/k)\/k))**(-2\/135) assuming k is positive.\nAnswer: k**(-88\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 7*u + 6 = 0. What is the lowest common multiple of 1 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -5737*i**5\/10 - 119*i**4\/12 - 31*i**3\/6 + i**2 + 596*i + 2. What is the third derivative of f(z) wrt z?\nAnswer: -68844","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20201110 (base 3) in base 4?\nAnswer: -1030203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-3))\/((-2)\/219). Suppose -h - 2*z - 62 = -3*h, -f = -3*h - z. Suppose 5*d - h = 3*d. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -26*s**5 + 21*s**4 + 45*s**3 - 22*s**2 + 2*s. Let h(z) = -z**5 + z**4 - 2*z**2 + 2*z. Let i(r) = 11*h(r) - j(r). Determine x, given that i(x) = 0.\nAnswer: -1, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27572.4mm in micrometers?\nAnswer: 27572400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-55)\/132*-8)\/((-122)\/1281)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6285, -6277, -6265, -6249, -6229, -6205, -6177?\n\"Answer: 2*u**2 + 2*u - 6289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 95612715 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 24845.95 litres?\nAnswer: 24845950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 - 45. Let h = 3 - r. Is -4 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 4. Let u be (3 + x)\/(16\/(-7944)). Let v = -553 - u. What is v rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 4 - 1 = 10*l - 8*l, 4*v + 7*l + 19 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*o**2 + 9 - 52*o**2 + 132*o**4 - 17*o + 64*o**4 - 91*o**3 + 9 - 19.\nAnswer: (o - 1)*(4*o + 1)*(7*o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*o - 7140 = -20*o - 53*o. Let b be 90\/25 + 2\/5. What is the greatest common factor of o and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 + -30. Let s = 0 - 0.4. Which is the third smallest value? (a) i (b) s (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5302, -5103, -4904, -4705, -4506?\nAnswer: -4307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(325)*1)**2.\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 455 and 3855.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 2:38 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 26 + 245 = 0. Let u = x - -92. Solve -l + 4*l + 12 = 0, -h = -4*l - u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2142)\/(-15) + (-16)\/20. Let m = 278 - t. Suppose 4*w = 3*w + 2*b + 44, -29 = -w - b. What is the greatest common divisor of w and m?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1002404?\nAnswer: 2, 13, 37, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -238*d**3 + 4*d**2 - d. What is the remainder when r(-1) is divided by 83?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1609 - -1598. Let s(c) = -c**3 - 10*c**2 + 7*c - 7. Give s(p).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*i + 19*i**2 + 3*i**3 + 2*i**4 + 31 - 295 + 0*i**4 - 21*i**2 - 7*i in the form k*i**3 + l*i + d + r*i**4 + u*i**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 5 = 7*l. Solve -l*p + 7*p = 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -310650.\nAnswer: 310642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3809859568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 15*a + 7. Let o(n) = 5*n - 2. Let b(x) = 7*o(x) + 2*z(x). Let v(m) = -23*m - 27*m + 71*m - 23*m. Give b(v(y)).\nAnswer: 8*y**2 - 10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u - 1. Let a be m(-1). Let d be (-10)\/4*(-8 + -6). Suppose a*q - d = -5*q. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a minute in milliseconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/(-35) - ((-128)\/10)\/(-2). Is 15 a factor of (-3)\/d - (-537)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m + 2*m + 8*m + 4*m.\nAnswer: 23*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 180 and 30.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**29\/x)\/(x\/(x**(-33)\/x*x)))**(1\/13) assuming x is positive.\nAnswer: x**(-6\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3559900 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) 42 (c) -4423.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(28))**2 + sqrt(7) + sqrt(63)*6.\nAnswer: 28 + 19*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31689206.\nAnswer: 2, 719, 22037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -34*i - 10 + 0 - 54*i + 34*i. Suppose u - 13 = 5*h, -h = 4*h + 2*u + 4. Let y be r(h). Calculate the greatest common divisor of y and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20250363?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 5*p + 2 - 4 + 8. Let c be q(-6). Let s = 3 - c. Solve 5*g = 4*n - 3, s*g + 5 + 1 = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) -13\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 - 15*v**2 - 36*v + 320.\nAnswer: (v - 16)*(v - 4)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -1168*a**6\/15 + a**4\/3 + 297*a**2\/2 + 1600*a. What is the third derivative of x(s) wrt s?\nAnswer: -56064*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 2942764 + 1471354 + 1471410.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*q - 209705, -5*p - 189657 = 2*q - 49832. What is q rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 47\/30 + 5\/(-30). Let s = j - 9\/10. Let a = 0.57 - 0.27. What is the third smallest value in s, 5, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -317 (base 11) to base 3.\nAnswer: -112010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 - 26. Let q = k - 31\/3. Let t be 6\/4 - (3 + 28\/(-8)). Do q and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*p**2 - 5 + 15*p**2 - 20*p**2 + 5 in the form c + u*p**2 + g*p and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -174*f**3 + 313208*f**2 - 140954400*f + 6480000.\nAnswer: -2*(f - 900)**2*(87*f - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -1, -1\/11, -25, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 9, 0 = 2*k + 3*j - 0*j - 231. What are the prime factors of k?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2710 + 4978. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 10:39 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 86bb69 (base 13) in base 6?\nAnswer: 151521503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8901.\nAnswer: 3, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86896113*k**3 + 86896105*k**3 + k**2 - k**2.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 215583 - 215586 - 2*i**2 + 2*i**2 - 179*i + i**3 as l*i**2 + s*i + o + u*i**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31 and 1.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 8*n - 7. Let y(k) = 2*k + 2. Let b be y(-4). Let j be p(b). Suppose -j*t = -10 - 15. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -1008.6?\nAnswer: -2017.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 2:45 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3882, -3881, -3880, -3879, -3878?\nAnswer: -3877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*k + 57 = 0, 0 = -3*n + k - 4*k - 33. Let u = 49 - n. Suppose -3*w = 2*f - 22, 4*f + w = u - 19. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -11, 170, -1, 4.\nAnswer: -11, -5, -1, 0, 4, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 902, 859, 876, 983, 1210, 1587?\n\"Answer: 5*i**3 - 78*i + 975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*4\/(-4)*-2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 18649274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*l**3 + 2328*l - 2328*l.\nAnswer: -28*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3495 = -2*u. Let t = 1957 - 27463\/14. What is the common denominator of t and (-6)\/33 - u\/66?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -7*n**3 - 27*n**2 - 4*n - 1. Let i(w) = 20*w**3 + 77*w**2 + 13*w + 3. Calculate 6*i(j) + 17*l(j).\nAnswer: j**3 + 3*j**2 + 10*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.83 and 6.8.\nAnswer: 11.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 53.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/15 - (-5)\/((-175)\/(-637)). Calculate the greatest common divisor of w and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/7 + 20*h**2\/7 - 42*h - 2808\/7.\nAnswer: 2*(h - 12)*(h + 9)*(h + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**7\/168 + 11*p**6\/24 + 159*p**5\/80 + 157*p**4\/48 + 13*p**3\/6 + 226*p. Solve a(k) = 0 for k.\nAnswer: -52, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 m when four letters picked without replacement from {m: 11, t: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 16\/3*y - 2*y**2 + 3*y**3 - 1\/3*y**4 = 0. Calculate y.\nAnswer: -1, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338476541?\nAnswer: 13, 26036657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 10*j + 31 + 5*j**2 - 28 + 10*j. Give x(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19 and (5 - 655\/130)*73.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-27)\/6 + (3960\/(-8910))\/((-16)\/(-30))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.503 and 0.3.\nAnswer: 1.803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 0)\/(-1)*(429\/(-26))\/11\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*l - 18*l - 33*l + (-1 - 3 + 3)*(-l + 2 - 2).\nAnswer: -41*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 491 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, p: 1, z: 2, v: 1, a: 2, q: 2}. What is prob of sequence avca?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, a: 5, s: 4, f: 2}. Give prob of picking 1 s and 1 x.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 71933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - y = -0*g + 148, 2*g - 127 = -5*y. Let j(a) = -50*a**3 - a**2 + 2. Let w be j(-1). Is g >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.092604 times 151.9\nAnswer: 14.0665476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 4, o: 2, h: 1, j: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4800*a**2 - 4 + 4 + 4801*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24b (base 14) to base 15.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-209259)\/(-36) + (5\/4)\/5. Suppose 2*i - c = -3*o, -2*i = -o - 4286 - 1507. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -68 + 68.51. Let t = b + -0.038. Let x = -0.028 - t. Put -1, x, -2 in decreasing order.\nAnswer: x, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4131478879?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 20*i**2 - 10*i + 96. Give c(16).\nAnswer: -1088","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 55421 * -18222\nAnswer: -1009881462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8654692 to the power of 1\/2, to the nearest integer?\nAnswer: 2942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1955 divided by -5.\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 15 + 5. Let w = -44 - -47. Let c be (-2)\/w*(1 + (-145)\/10). Is c < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -147630, -147631, -147632, -147633?\nAnswer: -147634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 185*p + 1 - 1 + p**2 + 4 - 198*p to c*p + u*p**2 + g and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4779277343?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1166237*c*r + 1572838*r wrt c?\nAnswer: 1166237*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**3*v**21*(v**(7\/5))**3)**(-38) assuming v is positive.\nAnswer: v**(-4408\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36.38 + -36.380003481. What is q rounded to 7 decimal places?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 39\/9 - 95\/(-57). Solve -9*x + 11*x + h = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 49*p**2 - 617*p - 7027. Calculate h(61).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 4*p - 1 + p)*(p - p + 3*p + (-5 - 12 + 18)*(4 - 4 - p)*(4 - 1 - 5)) - 537*p**2 - 55*p**2 - 9*p**2.\nAnswer: -611*p**2 - 5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -265317.00064 + 265356. Let y = 39 - 0. Let v = g - y. What is v rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.5 less than 16?\nAnswer: -6.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -19. Let i(u) = -75*u - 27. Let w be i(s). Suppose 7*q = 18*q - w. What is the greatest common divisor of 81 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j. Let c(i) = -5. Determine 4*c(d) - 4*l(d).\nAnswer: 4*d - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272797.\nAnswer: 7, 38971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 24*c**2 + 77*c + 56. Determine f(20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 24 = 4*c + 2*d, 3*c = 2*d + 8. Let l(r) = -r**2 + 7*r + 2. Let v(u) = u**2 - 6*u - 2. Let b(f) = 6*l(f) + 7*v(f). Does 11 divide b(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - (-2 - 14)) + (-4 - (-12 - -6)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 72 = -12. Let r be 0 + x\/4 + 0. Let k(u) = u**3 + 3*u**2 - u - 3. Let d(z) = 2*z**3 + 5*z**2 - 2*z - 5. Give r*d(a) - 5*k(a).\nAnswer: a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*l - 198981 = -198477 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jjjkjjjkjjjjkjjjjkj?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/967486 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -122\/5 - -25. What is the third smallest value in 0, 1\/14, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -300 + 300. Put -3, y, -5 in ascending order.\nAnswer: -5, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + 14. Let j be b(-13). Let g(r) = -r + 1. Let d(a) = -12*a + 10. Let w(i) = j*d(i) - 10*g(i). Let s(m) = m**2 + 7*m - 7*m. Give s(w(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0 (c) 2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 457 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4613*i**6 - 4356*i**2 wrt i.\nAnswer: -553560*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 4324 and -11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 7*f - 5*u - 516, -5*f + 2*u + 860 = 0. Suppose 2*h - 3 = -y + f, 3*h + 12 = 0. What is y rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g**3 - 34*g**2 + 1464*g - 4105. What is u(3)?\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13408025.\nAnswer: 5, 41, 103, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1610 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: Find the second derivative of -37106*d**3*n*p**2 + 2*d**3*n*p - d**3*p - 28*d**2*n**2*p**2 - 345*d**2*n**2*p - 25909*d*n**2*p wrt p.\nAnswer: -74212*d**3*n - 56*d**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.8 and -52266.5.\nAnswer: 94079.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(6\/7))\/s)\/s*s)**(-46)\/((s\/((s*(s\/(s*s\/(s**16\/s)))\/s)\/s))\/(((s**32*s)\/s)\/s*s*s)) assuming s is positive.\nAnswer: s**(591\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 6*f + 5. Let s be (2 + (-49)\/(-14))\/((-5)\/(-10)). Let u(y) = -y - 1. Determine s*u(w) + 2*c(w).\nAnswer: 2*w**3 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in -3, -2, -13.025?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 greater than 21\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1163 is divided by 305.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j. Let d be ((-71)\/2*-4)\/1. Let h(g) = -2*g**2 + d*g - 142*g. Give h(p(y)).\nAnswer: -50*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021107 rounded to 3 dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 4.113?\nAnswer: 16.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 - 3248*f.\nAnswer: 2*f*(f - 1624)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 121 (base 3) to base 16\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a - 1. Let s be x(1). Let g = s + -4. Let n = g + 7. What is the closest to -1 in 0.2, n, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5.696 and -0.1039529?\nAnswer: 5.7999529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 9*i**2 + 13*i - 20. Is b(-12) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 311*m**3 - 2*m**2 + 4*m - 4. Let u(z) = 623*z**3 - 5*z**2 + 9*z - 10. Calculate 2*u(s) - 5*v(s).\nAnswer: -309*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of 2*h**3\/3 - 2*h**2 + 2*h. What is the units digit of u(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (3*(0 + sqrt(700)) - sqrt(700) - ((0 + sqrt(700))*-4)**2) + 3 + -5)*-4.\nAnswer: -80*sqrt(7) + 44792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1362\/11495 - 8\/605. Let q be (-10)\/25 + 32\/55. Sort 8, q, -1\/7, m.\nAnswer: -1\/7, m, q, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110101233 (base 4) in base 13?\nAnswer: -2ba5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-33 - (-17 - ((-15 - -8) + 1))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 25*x - 2. Give n(3).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 75.8834 - -0.0166. Round y to the nearest integer.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -11 + 76 + 9*d - 23 - 26 + 0*d. Let t = 6 + 1. What is the tens digit of h(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5977*i - 24833 = -168281 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9606 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**4 + 17343*u**3 - 24951897*u**2 - 327103167*u - 302133924 = 0 for u.\nAnswer: -12, -1, 2897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15.03 - 15. Which is bigger: j or -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 2010012?\nAnswer: 2010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2015014 - -3?\nAnswer: 2015020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 31, 39, 61, 97, 147?\n\"Answer: 7*d**2 - 13*d + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -14+3824415.2\nAnswer: 3824401.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 311 + -181. Suppose w - 413 = -8*s, 69 = 4*s + 4*w - 127. Calculate the highest common divisor of s and c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 921951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 608 + -607.999997822. Round s to 7 dps.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-40))\/(10*9\/6)?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 38 = 4*h. Suppose -5*k + 5*q - q + 170 = 0, 137 = 4*k - 3*q. Calculate the greatest common divisor of k and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.017617 and -76.2.\nAnswer: -1.3424154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - (-3)\/((-18)\/(-852)). Suppose -11*j = 5*b - 13*j - 229, 2*j + o = 3*b. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146374903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -1375*k. Let t(r) = -5*r**2. What is q(t(n))?\nAnswer: 6875*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-28)\/(-4) - 7)\/(-1))\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385*l - 378*l + 14 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -215 (base 8) to base 13.\nAnswer: -ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1061370*b**2 + 3059685*b wrt b.\nAnswer: -2122740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1122825.\nAnswer: 3, 5, 11, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -956, -3822, -8586, -15236, -23760, -34146, -46382, -60456?\nAnswer: -76356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 149*t - 12561. List the prime factors of a(-197).\nAnswer: 7, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -103*v + 0 + 208*v - 3*v**2 + 0 = 0.\nAnswer: 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14\/27 - 55\/54. Which is the second biggest value? (a) -1.6 (b) 1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*k - 62360000 = 59*k. Round k to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d*v**2 + 121*d*v + 19*d + 422*v**2 - 1297 with respect to v.\nAnswer: -4*d*v + 121*d + 844*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -13*o**5\/60 - 19*o**4\/8 - 10*o**2 + 3. What is the second derivative of f(j) wrt j?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -19. Let q = -11 - n. Let v = 2.996 + q. Round v to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/(-10))\/(9\/30). Suppose 11*o - 5 = 10*o. What is the nearest to -5 in -2\/5, o, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6 = -0. Let r(q) be the first derivative of 5*q**2\/2 - 3*q + 2. Let u(t) = -2*t + 1. What is w*r(n) + 8*u(n)?\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 12 = -7*s. What is the second derivative of -10*z - 6*z**3 + 3*z**s + 6*z wrt z?\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -4030.2103232957?\nAnswer: -4032.2103232957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*h + 166*h = 95*h - 1924587. What are the prime factors of h?\nAnswer: 7, 17, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q**5\/7 + 132*q**4\/7 + 30*q**3\/7 - 2040*q**2\/7 - 216*q\/7 + 864 = 0.\nAnswer: -21, -4, -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2416.05 + -2368. Let v = m - 48. Let j = v + 0.19. Round j to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14 - 24*n + 0 + 4 with respect to n.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-6))\/(-1)*-6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.336542, 5, -5\/4 in ascending order.\nAnswer: -5\/4, -0.336542, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 220570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1023969?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 5*a**2 - 2*a - 10. Let d be k(-5). Solve d = -13*b + 16*b - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 9. Let p = 632 + -1894\/3. What is the biggest value in 2, p, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -5*g + 1595, 838 + 387 = 3*d - 2*g. Suppose -7*s = -12*s + d. Let f = 96 - s. What is the remainder when 67 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 90\/(-39) + 19392618\/506233?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = -4*r + 5951. Suppose r = 12*q + 121. Calculate the remainder when q is divided by ((-13)\/2)\/(2\/(-4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7735, 13265, 18819, 24409, 30047?\n\"Answer: 2*u**3 + 5516*u + 2217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 0 + (12 - 8) + -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -22, 4, -3965, -11, -5 in descending order.\nAnswer: 4, 1, -2, -5, -11, -22, -3965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 86a8783 + 3?\nAnswer: 86a8786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 0) + -1 + -247. Let r = -74076557\/300092 + 1\/300092. Let x = d - r. Sort x, 1\/4, 0, -2\/7 in descending order.\nAnswer: 1\/4, 0, x, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: 32add9 (base 16) to base 3\nAnswer: 20020201222022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515766496 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -0*d - 570. Let b = -2\/7719 + -107207\/5146. Find the common denominator of (1*2)\/(48\/d) and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 11*m**2 - 21*m + 26. Let a be q(-8). Let x be (-2)\/5 + 0\/(-1). What is the second smallest value in a, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 962 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*i - 0*i + 2, -d = 3*i + 8. Let g be 2\/(-90) - (-4)\/18. Let c = 13 - 13. What is the closest to g in i, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**3 + 7*u**2 + 0*u**3 - 1 + 1.\nAnswer: -u**3 + 7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 92*n + 353, 0 = 2*t - 256 + 250 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1927899890 to the power of 1\/3, to the nearest integer?\nAnswer: 1245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from riyuiruuuuiiyiyriu?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*6\/(54\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 2*l + 4 = 0, -5*l = -2*l - 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10395*m + 42997 + 44959 = -151465 - 155589 for m.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5*p = -20, -3*u + p - 8 + 4 = 0. Suppose -3*m = -u*m - 489. What are the prime factors of m?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**4\/4 - 6*y. Let s(z) = -z. Calculate x(s(f)).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 16*c + 11. What is x(17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**5\/13 + 48*d**4\/13 - 202*d**3\/13 + 220*d**2\/13 + 168*d\/13 - 304\/13 = 0. What is d?\nAnswer: -1, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 - 92*n**2 - 96*n.\nAnswer: 4*n*(n - 24)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -45*k - 6. Let h be i(6). Is -277 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - 0)\/(1\/8 - 2621255\/20968696) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/(16905\/(-2982)) + -1*1 + 5?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3467, 5063, 6659, 8255?\nAnswer: 9851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*k + 879*k + 724*k = 212*k + 33804 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 28023, 112165, 252429, 448815, 701323?\n\"Answer: 28061*a**2 - 41*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 5:12 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 15. Differentiate u + j + 7 - 11 with respect to j.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (2 - 3 - 58) + (13 - -19 - 31)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -7, -4, 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 125 - 123. Let q(n) = -11*n - 3*n**d - 5 + 5*n**2 - 3*n**2 + 7. What is q(-12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 8 (b) -5\/3 (c) -25\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, l: 1, n: 3, i: 1}. Give prob of sequence ine.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -246996?\nAnswer: 246997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a centimeter in millimeters?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, -1\/5, -5, -0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {x: 7, l: 7, s: 1, h: 2}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 54895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-10)*8 + (-3)\/(-15). Let q be (1 + -2)*(1 + 0). Put b, 4, q in descending order.\nAnswer: 4, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of w**4\/12 - 2*w**3\/3 + 3*w**2\/2 + 10*w. Let q be z(4). Solve 2*l - 3*l = q*h - 3, 3*l - 2 = -2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - r - 39 = -38, -4*o - 2*r + 2 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n**2 - 6*n + 4. Let g(q) = -6*q - 59. Let o(t) = -3*t - 30. Let b(a) = -3*g(a) + 7*o(a). Let s be b(-10). What is x(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3843199 (base 10) to base 16\nAnswer: -3aa47f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/31 in 4, -2\/5, -0.68?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -372120468*c**2 - 4159*c + 18?\nAnswer: -744240936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 46650380?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)*2)\/sqrt(4) - sqrt(128).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*((-7)\/3)\/(-1). Let g = m + 13. Is 10 a factor of (2 - (-15)\/g)*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 10) to base 2\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.49572 and -931.\nAnswer: -931.49572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36324 is divided by 386?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3*w**4 + 9*w**3 - 3*w**2 - 9*w + 6 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6034 + 9?\nAnswer: -602b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*j - 4 = -33*j. What is the tens digit of j\/(-9) + (-4)\/18 + 108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4*(-3 + -1*sqrt(9072) + (-1 + sqrt(9072) - sqrt(9072))*-3)**2.\nAnswer: -36288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/7)\/x)\/(x*x**(-4)))\/((x\/(x*(x**(-3)*x)\/x))\/x*x*x*x**(-2\/15)\/x)*x**(2\/7)\/x**(2\/15)*x**(1\/7)*x*x**(-1\/12)*x*x assuming x is positive.\nAnswer: x**(221\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (8 + 0) - (-3 - (20 - 17)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(-168 + 20*a + 168) + 2*a + 0*a - 3*a + 2*a - 34*a - 3*a.\nAnswer: -76*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a kilogram in grams?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 3 (c) -1055149 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1633 - -2059?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 561800*b + 1524349 wrt b?\nAnswer: 561800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59 + 60. What is the nearest to 0 in j, 0, -0.02?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 1 + o**2 + 24*o + 1 + 2 + 3. Let m be g(-11). Solve 0 = 4*k - f - 1, k - 14 = 5*k + m*f for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -154 - -159. Factor -6*m**3 + 3*m - 4*m + p*m**3 + 2*m**3.\nAnswer: m*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 + 4*d. Let k be t(0). Which is greater: 4\/101 or k?\nAnswer: 4\/101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**5\/60 + g**4\/12 + g**3\/6 - 76*g**2. Calculate d(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*sqrt(200)*-1 + 1).\nAnswer: -10*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24381 - 15091. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -4)\/(38\/(-22) + 2). What is the derivative of 0 + c*f**4 - 19*f**4 - 1 - 10 wrt f?\nAnswer: -32*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*o - 4*x + 30, 51 = -3*o - 3*x. Let d be (-4)\/o + (-60)\/(-35). What is the third biggest value in 1\/5, 0.12, d?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1426, -1424, -1422, -1420, -1418, -1416?\n\"Answer: 2*i - 1428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 9338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (1 - (-3 - (0 + -4)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gqqqqcucqquuumquuq. What is prob of sequence gccu?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 34?\nAnswer: -11\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**6\/((m\/((m\/(m*m**7\/m))\/m))\/(m\/m**(-4\/9)*m))*(m\/(m\/((m*m**(2\/5))\/m))*m**(-4\/5)*m)**(-9) assuming m is positive.\nAnswer: m**(-493\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 241 + -251.48. Let m = t + 9.7. Round m to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -224*b**2*u**3 - 2288*b**2*u*y**3 + 24*b**2 + 5*b*u**3*y**3 + 3*b*u**3 - 165*b*y**3 + 444*b*y**2 + b - u**3 wrt b.\nAnswer: -448*u**3 - 4576*u*y**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 1757.709\nAnswer: -1758.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1271682605?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**2 - 2*w**2 + w**2 + (-980*w + 324*w**2 + 980*w)*(1 + 2 - 4) + (2*w**2 + 5 - 5 - w)*(3 - 5 + 0).\nAnswer: -330*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r - 2*r + 10 - 15 + r**2. Let o be j(2). Suppose -8*y = -o*y - 54. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2. Suppose 0 = -2*p - 0*p + 10. Let l(k) = -6*k + 8*k + p*k. What is z(l(h))?\nAnswer: 98*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2232749 to the power of 1\/3, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/6 + (132\/(-9))\/(-4). Let w be l\/((-20)\/(-15)) + 92. What is the highest common factor of 38 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1076*r + 12 = 5*q + 1079*r, 0 = -q + r - 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and -1817\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence glg when three letters picked without replacement from {l: 2, g: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1740 (base 9) to base 10.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -28115, -28099, -28083, -28067?\n\"Answer: 16*k - 28131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65.4 - 59. Let i = 6.39999919 - q. Round i to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 1:11 PM?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**13*b**7)\/(b**(-2\/15)*b*b**(-6\/13)) assuming b is positive.\nAnswer: b**(3821\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a2 + -3?\nAnswer: -2a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 14) to base 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 49*a**6\/30 + 77*a**5\/20 + 8*a**4\/3 + 2*a**3\/3 + a + 3. Let q(p) be the first derivative of t(p). Factor q(y).\nAnswer: y*(y + 1)*(7*y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (-12 + 5)) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqnjgqdqnndnzg. Give prob of picking 1 z, 2 n, and 1 d.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8269 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 - 41. Let a(s) = 4*s + s + h*s - 4*s. Let z(f) = -5*f**2. Give a(z(j)).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -12. Suppose 2*q - 133 = -r*k, 49 = q - 2*k + k. Is q a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, z: 4, x: 1, y: 6}. What is prob of sequence yxy?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-229 - -228) + 2\/2 + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.09, 3.\nAnswer: -0.09, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-1 - 1) - 2 - 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 44*k - 293. Let w be q(8). Let f(g) = 8*g**3 - 8*g**2 - 4 + 15*g**2 - 7*g**3 + 6*g. Determine f(w).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 303485, 302557, 301629?\nAnswer: 300701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**3 - 18*b**2 + 11972*b = 0.\nAnswer: -82, 0, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -75619*d - 5. Let q be p(-5). Suppose -q - 2910 = 3*v. Round v to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - (sqrt(65) + (sqrt(65)*2 - sqrt(65)) + sqrt(65))*-3)\/(sqrt(5) - sqrt(55)\/(sqrt(44)\/sqrt(4)) - sqrt(5)).\nAnswer: -10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*j + 23*j - 2*j = -259 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1370844 divided by -456948.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 179, 572, 1331, 2576, 4427, 7004, 10427?\nAnswer: 14816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200164161?\nAnswer: 3, 66721387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33762024 and 0.4.\nAnswer: 13504809.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -372254.79 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 3:58 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -12060000 to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2541 - 112015?\nAnswer: -106144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11549 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 5*k + 0*k)*(-k - 2*k + 4*k)*(3605 - 125*k**2 - 3605).\nAnswer: 250*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 52060621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**3\/6 - 18*u**2 - 10*u. Let w be g(13). Which is greater: -47 or w?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(17))*-2.\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15179 and 1059?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*g + 15*g - 63*g + 9*g + 21*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-15) + (-5)\/(-9)*3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/28 at least 113.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 15*a = -17*a + 16*a - 568, 0 = -4*a - 140 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v + 0*v - 4*v + (0 - 2 + 0)*(-4*v - v + 4*v) + v + 0*v + 0*v - 2*v + 0*v + v + 5*v + 0*v - 3*v + 65*v - 43*v + 206*v.\nAnswer: 230*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 7*r - 5. Let a(l) = -4*l + 3. Let k(b) = 5*a(b) + 3*c(b). Let u = -5 + 9. Let q(h) = h - 3*h + u*h. What is k(q(w))?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*o - 4 - 32, 0 = -4*d - 4*o - 72. Let p be (-165)\/(78\/d - -4). What is the greatest common factor of p and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 2*x = 11, 5*b - 9*x = -8*x for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r. Let w(a) = 4*a + 1. Let p(y) = y**2 + 5*y + 2. Let k(t) = -2*p(t) + 3*w(t). Suppose -139*o = -1188 + 1049. Calculate o*k(s) - 2*i(s).\nAnswer: -2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 812?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (558\/15)\/(((-1660)\/10375)\/((-2)\/5))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 5 - 20. Suppose 17 - w = s. Suppose s = 5*k - 13. Solve -4 - 8 = k*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 37363838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-2)*(5 - (-356)\/(-68)). What is the nearest to -2 in 3, o, -2\/3, -2\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1209 divided by -6?\nAnswer: 403\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*v + 4*k - 190, v = -3*k + 42. Suppose 0 = -6*c + 3*c - 3*h + v, 5*h = 10. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -2*r**2 + 32*r + 8. Suppose 0 = 2*v - 7*v + 30. Is 3 a factor of w(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1304 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**2 + 2*n - 1. Let l = 13527 + -13532. What is x(l)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, 0, -231, 3, -5, 21, 5 in ascending order.\nAnswer: -231, -5, 0, 3, 5, 21, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 9.1153, -5, 7\/6.\nAnswer: -5, -0.1, 7\/6, 9.1153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + g + 24 = -2*g, 0 = 5*a + 2*g - 33 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24.99979 - -25. Round n to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33117.4 rounded to the nearest one hundred?\nAnswer: 33100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 32*k**3 + 5*k**2 - 4*k - 11. Let f(w) = -65*w**3 - 10*w**2 + 8*w + 20. Let r(j) = 3*f(j) + 7*s(j). Is r(3) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 650 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*w - 6 = -88*w. Suppose 2*t + 4*j = -210, -3*t = -4*t + w*j - 105. Let q = -90 - t. What is the smallest common multiple of 12 and q?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1893222 divided by -1614\nAnswer: -1173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2101387813 - -128.608?\nAnswer: -2101387684.392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -15\/31 (b) 1\/52 (c) -2740\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394*k + 416 = 251*k + 88*k - 9113 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**5\/100 + g**4\/8 + 2*g**3\/5 - 11*g**2 - 8*g. Let z(h) be the first derivative of y(h). Let z(t) = 0. Calculate t.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 222345531 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 3*q = 5*q - 18, -2*q = 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 214\/5, 0.1, -769?\nAnswer: 214\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -x**6\/1080 - x**5\/180 + x**4\/24 + x**3\/6 + 5*x**2. Let n(t) be the first derivative of q(t). Find m such that n(m) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-20)\/(-3)*((12625 - 12) + 0 + -10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/2 and 0.838901 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) - (sqrt(16) + -6*sqrt(160)\/sqrt(10)))\/(sqrt(968)*-3 - sqrt(8)).\nAnswer: -3*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 - 0.4. Let p = q + 0. What is the nearest to p in 3, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -360 divided by 30\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/45 - (-5)\/(-45). Suppose 0 = -5*s, -s - 1908 = -2*j - w*s. List the prime factors of j.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/3*(-9)\/6. Let b be (9\/(-30))\/(102\/5). Which is greater: w or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -745367.83 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1428461157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -24498 divided by 2\nAnswer: -12249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q**2 - 11665 + 23325 - 11665.\nAnswer: 8*q**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6344780686 to the nearest integer?\nAnswer: 1851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/3, -2, -4.3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(-358844 + 5795*q + 358844) + q + q - q.\nAnswer: 11591*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 8) to base 2.\nAnswer: 1001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t - 20 = 17*t, -r + t = -6. Sort -4, -5, -8, r in descending order.\nAnswer: r, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*((sqrt(209) - -5*sqrt(209)*-2)*-2)\/(sqrt(275)*-2 - sqrt(11)*-1*-1))**2.\nAnswer: 25108\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -139.5 (b) 0.1 (c) 0.15 (d) 1 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**2 + 8*z - 12*z - z**2 + (3*z**2 - 3*z**2 + z**2)*(3 + 0 - 1).\nAnswer: z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 4*n**2 + 5*n. Let j(c) = 0*c + 0*c**2 - 4*c + 8*c - c**2. Let u be j(5). Give g(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/(103\/206).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 + 2*v - 2*v + (-2*v**2 - 3*v**2 + 3*v**2)*(3 - 3 - 5).\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*o - 893 = 0, -5*z + 1553 + 672 = -5*o. Let x be -10*1\/(-2) + z. Let 447 - x - 5*a**4 + 30*a**3 = 0. Calculate a.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419 is divided by 222?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.1 + 3.1. Let f be (29\/290)\/(3*(-4)\/15). Which is the nearest to n? (a) f (b) -0.4 (c) 4\/45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210211221200112 + 12?\nAnswer: 210211221200201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 686?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -7 + 67. Let a be 1\/(-4) - 195\/j. Let s(n) = 3*n**3 + 3*n**a + 6*n + 3 - 5*n**3 - 6*n**2. Calculate s(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1405 - 3502.855?\nAnswer: -4907.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/14)\/(1\/(-36)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w - w**4 + 54 + 4*w**2 - 20 + 0*w - 7*w**2 - 9*w**3 - 32 to s + i*w + l*w**4 + q*w**2 + v*w**3 and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 2*z - 2*z)*(-426*z**4 - 565*z**4 - 154*z**4).\nAnswer: -2290*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 53 + 12 = -33, 0*s + j = -6*s - 80 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-10)\/(-6) - 2). Let j = -144 + 149. What is the third smallest value in -1\/2, z, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-374)*(4 - 2). Let j = r - -589\/1309. What is the third smallest value in 4\/3, 3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -10*p - 815 + p + 634. Determine x(-20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 9701316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = k - 4*u - 20, -5*k + u = 1. Let n be 390\/384 - (k + 2). Let i = n + 631\/576. Is 1 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 550 <= 2715?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 127, 133, 143, 157, 175, 197, 223?\n\"Answer: 2*s**2 + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*x**5 - 84*x**4 + x**2 + 10182*x - 2.\nAnswer: -80*x**3 - 1008*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -5.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**4 + i**2 - i + 1. Let w(u) = 1527*u**4 - 3271*u**2 - 10*u + 10. Let f(o) = -10*k(o) + w(o). Find the third derivative of f(m) wrt m.\nAnswer: 36168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/(-18)*(-4)\/(-7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28 + 17 - 3*m**2 - 23 as i*m**2 + y*m + h and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 9534043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10)\/(sqrt(10)\/(sqrt(2)*1 + sqrt(2))))**2 + ((sqrt(550)*1)\/sqrt(11))**2)*-6.\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -98 - -101. Suppose -3*d + 2832 = -2*d + n, 0 = -a*d - 4*n + 8492. Suppose 13*f + d = 17*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -58. Suppose -u = -f + 9. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a millennium in months?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -69605.6876 and -1095.\nAnswer: -70700.6876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.173212 and 150849.\nAnswer: 150849.173212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -12.1, 206, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-24))\/((-3)\/18*2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102 + 110 + 6*x - 212.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 9. Suppose 2*i + 2*p = 0, 6*p - 3*p = -z. Suppose i*d - 26 + 6 = 0. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*l + 4, 3*w - 3*l + 6 = 3. Solve 0 = 5*n - 4*m + 35, -5*m + 27 - 2 = w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/(y*y*y**(3\/11)*y)*y)\/y)\/(y\/(y\/(y\/(y**(-17)*y*y)*y)*y)))\/((y**(5\/3)*y*y)\/(y\/y**18)))**(-27\/7) assuming y is positive.\nAnswer: y**(11565\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 7672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3*b + 15 = 0, 4*i + 3*b = -13 - 2. Let u = -4 - i. Let m(v) = v**2 + 3*v + 3. What is the units digit of m(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -5*f - 45, -2*f + 18*x = x + 19*x + 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5.8? (a) -4\/7 (b) -3 (c) -1\/2 (d) -2\/11 (e) -1310\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 2*f - 4 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -1. Let v(a) = 2 + 0*a - 3 + 2*a. Let g be v(s). Solve -2*z = g*z - 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide (26872 - (4 - -1)) + (6 - (-10 - -21))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(228) + 2*sqrt(228)*4))\/((sqrt(24) + -1*sqrt(216))\/sqrt(2)).\nAnswer: -27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -14*k**3 - 2*k**2 - 2*k - 29. Is g(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*s + 3333 = -18511. Let k = 700 + s. Calculate the highest common factor of 36 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, -30, 39, -1, 2, -2.85 in descending order.\nAnswer: 39, 2, 0.08, -1, -2.85, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325810570?\nAnswer: 2, 5, 43, 757699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*y + v - 16, 3*y - 13 = -v. Let l be ((-12)\/8)\/(y\/(-4)). Solve -5*d + l*d = -6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-15*(-44)\/(-4620))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1 + -11)\/2)\/1. Calculate the common denominator of v\/7 + 2 - 1 and (-52)\/8 + 6 + 131\/(-18).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 27\/8, -21, 1.4?\nAnswer: 27\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2844 + -4110. Let q = z - -1988. What are the prime factors of q?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -4*m - m. Let b be (-1)\/(m\/8 - 3). Suppose -3*a**3 - 6*a**b + 5*a + 0 - 2*a + 0 + 6*a**4 = 0. Calculate a.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b43bf0 + 0?\nAnswer: -b43bf0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 104*h + 26 = 106*h, 5*w + h + 251 = 0. Let x(n) = -n**2 - 2*n - 1. Let j be x(-2). Sort 0, w, 5, j.\nAnswer: w, j, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.19 + 2.83. Let x = 2.64 - t. What is the nearest to 0 in 0.5, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 353\/17 or 22?\nAnswer: 353\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 13*a**2 - a + 17. What is s(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + -1 + sqrt(5) + sqrt(80)*6 + sqrt(50)\/(2*sqrt(10)*1)).\nAnswer: -255*sqrt(5)\/2 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 30 + -23 + -3 + -1 + -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, b: 8, y: 9, e: 1}. Give prob of sequence by.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 43*s - 6. Let m be 33\/6 - (-1)\/2. Let v be b(m). Let o = v - 2774\/11. Which is smaller: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*26.9.\nAnswer: -107.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1108\/(-831))\/(8\/(-42))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-10)*t*t)\/t)\/(t**12\/t))**14 assuming t is positive.\nAnswer: t**(-280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2 + 4. Let n = 3125 + -3126. Let m be 8\/(-6)*12\/(-8). Let d(v) = -5*v - v - 1 + 5*v + v**m. Give n*d(z) - i(z).\nAnswer: z**2 + z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -12051.024 to the nearest 10.\nAnswer: -12050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -13\/7?\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-400)*-8 + 836\/228 + 25\/(-6)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 522389 and 511?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*v, -3*g + 2*g - 18 = 4*v for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 1 = h. Suppose 4*c - 4*k - 48 = 0, 0*c + c - h = -k. Suppose b + p = 15, 4*b + 3*p = -2*p + 59. Calculate the smallest common multiple of b and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*o + 33*o + 367*o - 5644 - 11304 = 0 for o.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24020 + 424210?\nAnswer: 400140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 15 - -1)*(-4)\/10. Suppose 0 = y*d - s - 44, 40 = 5*d - s - 16. List the prime factors of (-160)\/d*12\/(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 25*m**2 + 23*m - 30. Let b be s(-24). Let r(x) = -x**2 - 41*x + 81. Let g be r(2). Sort g, 11, -4, b in descending order.\nAnswer: 11, -4, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 56, 98, 158, 236, 332, 446?\nAnswer: 578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -250.\nAnswer: -1\/250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + w - 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4.6, 4, 0.04, -2\/7?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 251 + -252. Is -0.0098 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 492*b**3*j**2*l**2 + 5*b**3*j**2 - 4*b**2*j**2 - 398*j**2*l + 34*j*l**2 wrt l?\nAnswer: 984*b**3*j**2 + 68*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 160\/(-176) - (-6 - 3))*2\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*x**3 - 76*x**2 - 980 + 107*x**3 - 422*x**3 + 106*x**3 - 476*x + 99*x**3 = 0. What is x?\nAnswer: -7, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of 1\/30*w**5 + 0*w - 2 + 0*w**3 - 38*w**2 - 3\/2*w**4. Find the second derivative of l(a) wrt a.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 17*x**2 - x + 21. Let q be b(17). What is the first derivative of -7 + 14*n**q + 395*n**2 + 17*n**4 - 395*n**2 wrt n?\nAnswer: 124*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**3 - 3*n**2 - 5*n + 4. Suppose -3*h + 22 = -5. Let g = h + -6. What is the least common multiple of r(g) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -65\/3889?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107354 = -85*x + 394571. What is the thousands digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 3 - (3 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1220.4 less than 0.224862766?\nAnswer: 1220.624862766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -101794.999868531 + 101795. Round j to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c + 6 - 3*c - 4)*((-2 + 2 + 2)*(-2*c + 1 - 1) + (2 + 0 - 1)*(-2*c + 2*c - 2*c) - 6*c - 6*c + c).\nAnswer: -34*c**2 - 34*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -191275 - -191275. Factor 0*z + g*z**2 + 2\/3*z**3 + 2\/9*z**4 + 0.\nAnswer: 2*z**3*(z + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 4 = -a, 230*a + 3 = 231*a + 3*q for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p - 18. Calculate c(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 8*r - 16. Suppose 0 = f + 3*f - 48. Is 32 a factor of v(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (3 + 1 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**7)*(d\/((d*d**(-3\/2)\/d)\/d*d))\/d)**(-1\/6)*(d**(-14)*d**(-5)*d)**(-5\/6) assuming d is positive.\nAnswer: d**(163\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p**3 + 4*p**2 + p - 2. Let s(o) = 3*o**3 - 3*o**2 + 1. Let c(l) = -2*i(l) - 3*s(l). Let x = 2 - 4. Calculate c(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134194702 divided by -2.\nAnswer: 67097351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 4. Let s = 9 - 6. Suppose -s*l - x + 7 = -5, 0 = 4*l + 5*x - k. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/5 - 39*d**2\/5 - 79*d - 225.\nAnswer: -(d + 5)*(d + 9)*(d + 25)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*(j\/j**(-5\/7))\/j)*j)\/(j\/(((j*j**(-2\/9))\/j)\/j)) assuming j is positive.\nAnswer: j**(-122\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/4)\/(-1)*10. Let y(m) = -7*m - 4*m + c*m. Let n(r) = -2*r**2. What is y(n(z))?\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 135 - 30. Suppose 0 = 2*o + 3*o - b. List the prime factors of ((-18)\/7)\/(o\/(-98)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10843002 is divided by 1434?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + (4 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j - 49 = 77. Let h(n) = -15*n. Let f(o) = 5*o. Calculate j*h(a) - 17*f(a).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 1 + (-6)\/(-2). Let o = -161 - -307. Calculate the common denominator of -1 - (j + o\/28) and -81\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ilxiuxxutilluuttl. What is prob of sequence lllx?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16936)\/(-88) - 82\/451. Is p at most 192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16354)\/3145 - (-8 - -2)*1)*1\/(-48)?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 12:29 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -229, -5, -698\/17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 14\/11*n**4 - 14\/11*n**2 - 12\/11*n - 6\/11*n**5 + 0 + 18\/11*n**3 = 0.\nAnswer: -1, -2\/3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2174 divided by -35.\nAnswer: -2174\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1317 is divided by 261.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 159.8964 hours to seconds.\nAnswer: 575627.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6255361097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -6228*h - 71. Let d(j) = -6231*j - 89. What is -4*d(k) + 5*l(k)?\nAnswer: -6216*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -190, -0.21, 67, -1?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-50)\/(-175) - 2432\/(-14) and 24?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1040*r**4 + 1040*r**4 + 1 + 5947*r**5 - 1 + 2652*r**5 + (6*r**4 + 7 - 7)*(0 - 2*r + 0).\nAnswer: 8587*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -1, -1\/10, 115\/82 in descending order.\nAnswer: 115\/82, -1\/10, -1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*z - 6 + 2153*z**2 - 2151*z**2 + 7 as i*z + g*z**2 + m and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3 = -79. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1753*r**3 - 875*r**3 + 3*r**2 - 879*r**3 - 34*r**4 + r**2 to f*r**2 + n + l*r**4 + h*r + u*r**3 and give l.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 5 + 2)*(-2704*r**2 + 2704*r**2 - 56*r**3)*(4*r - 4*r - 2*r) in the form l + v*r**2 + p*r + m*r**4 + j*r**3 and give m.\nAnswer: 1008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**3 + d**3 - d - 108*d**2 + 89*d**2 to k*d + j*d**2 + c + p*d**3 and give j.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-75\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -258?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 + 24896*d + 124380.\nAnswer: 4*(d + 5)*(d + 6219)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 2:57 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1194*v**3 - 12*v**2 + 12*v**2.\nAnswer: -1194*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*z + 23*z - 364 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 950219.8 kilometers to centimeters.\nAnswer: 95021980000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d**2 - 34*d**4 + 1 + 26*d**4 + 10*d**4 to c + b*d + x*d**2 + a*d**4 + t*d**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -42 (b) 12 (c) 8\/7 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 2:12 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1412891 or 1412860?\nAnswer: 1412891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -24*s**2 + 10*s - 10. Let y(r) = 8*r**2 - 3*r + 3. Determine 10*y(u) + 3*z(u).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 183*a**4 - 66*a**4 - 66*a**4 + ((1 - 2*a - 1)*(-2 - 1 + 1) + a - 1 + 1)*(a**3 + 2*a**3 - 5*a**3).\nAnswer: 41*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.055409978721 - -6.\nAnswer: 5.944590021279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 590 - 551. Suppose -59*r - t = -62*r. Solve 10*h - 3 = -r for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ney when three letters picked without replacement from {m: 1, o: 4, n: 1, e: 1, y: 1}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -7*d**4\/8 - 57*d**3 - 23*d**2. Is y(-20) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*(1\/(-8))\/(36\/(-16))*(-5932)\/(-7415)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 1097*y**2 - 2*y + 1121*y**2 + 2*y - 2241*y**2. Let w(d) = 4*d - 2. Let h(s) = 63*s - 33. Let k(l) = 2*h(l) - 33*w(l). Give c(k(i)).\nAnswer: -828*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 13*b - 293. Let p be h(12). Calculate the highest common divisor of 21 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 3. Let l = 7 + w. Suppose 0 - 1 = -f. What is the closest to f in l, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000015651685 rounded to 7 decimal places?\nAnswer: -0.0000157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -49*t**2 - 9231*t - 3559. What is s(-188)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbkd when four letters picked without replacement from {k: 2, d: 3, b: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1205*n**2 + 449*n**3 + 2242*n - 750*n - 744*n - 748*n wrt n.\nAnswer: 2694","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*o**2 + 2*o**3 + 12*o**2 + 49 + 16*o**2 + 3*o**4 - 44*o - 49 to l*o**4 + p + f*o**3 + d*o**2 + s*o and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20916*v + 41762*v - 20713*v.\nAnswer: 133*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 256 = 4*f, 1 = 4*j - 11. Let o = f - 62. Calculate the greatest common divisor of o and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*6*6\/18. Suppose 18 = 3*t + p. Suppose -2*j + 2 + 10 = 2*h, -j + h - t = 0. Which is the third biggest value? (a) j (b) 0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {x: 1, o: 10, f: 7}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.4, -11\/263, -157\/7, -2\/5 in ascending order.\nAnswer: -157\/7, -2\/5, -11\/263, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1572588 to the power of 1\/2, to the nearest integer?\nAnswer: 1254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 4*p + 3, 1 = -2*y + 7*y + 2*p for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/7, -0.6, -26, -3144?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1012)\/1045 - (0 + -1))\/((513\/(-180))\/(-19)).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82109 is divided by 13682.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 7. Suppose o*x = 5*x - 39. Calculate the remainder when 62 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - n + 3, 3 = -30*y + 29*y - 4*n. Let r(w) = -10*w**2 - 6*w - 4. Let o(d) = -9*d**2 - 5*d - 3. Give y*r(k) - 6*o(k).\nAnswer: 4*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -44 - 998?\nAnswer: -a31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 164 = -0*v - 5*k, -5 = 5*k. Find the common denominator of v\/28 - (-2)\/(-8) and -31\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + p - 3*p + (-1 + 1 - p)*(1 + 0 - 3) + 2*p + 0*p - p)*(p - 3*p + 3*p)*(11*p - 11 + 11).\nAnswer: 22*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -131 - -235. Let h = 224 - m. Calculate the greatest common divisor of h and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -5*o**4 - 3920*o**3 - 902840*o**2 - 52731840*o - 904781520 = 0.\nAnswer: -354, -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b*f*t**2 + 2*b*f*t - b*f + b*t + 42*f*t**2 - 850*f - 18*t**2 + t wrt t.\nAnswer: 6*b*f + 84*f - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**8\/336 + n**7\/70 - n**6\/60 - n**2\/2 + 6. Let b(i) be the second derivative of a(i). Find f, given that b(f) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18711\/(-1134)*24\/726?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -165504a + -25?\nAnswer: -1655073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (-2)\/(-2 - -4). Let c be (-13)\/1 + -24 + (-135 - -151). Let k = 1 + -1.2. What is the fourth biggest value in k, r, 2\/17, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 38*q**2 - 8*q - 79. What are the prime factors of w(39)?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from vdiquuuuvuvquiuuif?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 682 (c) -222 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -1123123300?\nAnswer: -1123123233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 636205819?\nAnswer: 636205819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**3 + 0 - 23*l**2 + 1\/12*l**4 + 0*l. Let h be (-8)\/12*42\/4. Calculate o(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a year in months?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.18494ng in grams?\nAnswer: 0.00000002418494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8181*s**3 + 57351*s**2 - 588*s.\nAnswer: -3*s*(s - 7)*(2727*s - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-5)\/b**8)\/(b**(-1)*b*b*b**(1\/8)))**(4\/5) assuming b is positive.\nAnswer: b**(-113\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q. Let o(m) = -37467 + 37467 - 319*m. What is c(o(x))?\nAnswer: 638*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-6))\/((-40)\/30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.23 + -1.97. Let f = t - -2. Let v = -0.07 - 0.43. Which is the second smallest value? (a) v (b) -2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -16*o + 323. Let n be q(20). Solve 0 = -n*w - 0 + 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 0 + 0)*((1 - 5 + 2)*(m - 3 + 3) + 7 - m - 7)*(0*m - 4*m + m).\nAnswer: -18*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 83*v**2. Let f(n) = -11*n**2 + 10. Calculate r(f(y)).\nAnswer: 10043*y**4 - 18260*y**2 + 8300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (35 - -2) + (-13 - (1 - (-15 - -12 - -20)))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/3 - 2\/(-3). Let q = f + 11. Suppose 14*n = q*n + 45. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i + 7. Let r(p) be the second derivative of -p**3\/3 - 4*p**2 - 4*p. What is 7*h(a) + 6*r(a)?\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -4377\/25, 3 in decreasing order.\nAnswer: 3, -2\/5, -4377\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1010?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15897054 and 26835.\nAnswer: 5367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*y + 47*y**2 - 25*y**2 - 27*y**2 to b*y**2 + k + f*y and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 226991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2662 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 0.2, 14.62 in decreasing order.\nAnswer: 14.62, 0.2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.57 + -2.43. Sort 5, -2, 0, y in descending order.\nAnswer: 5, 0, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-1)\/(-5) - (-610)\/(-3050).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/14 and (-465)\/80 + 0 + 1\/1.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -50\/19, -485 in descending order.\nAnswer: -50\/19, -5, -485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - s + 3 = 0. Let f = s + -3. Let k(b) = b**2 - 9*b - 10. Let l be k(10). Is f <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -72, -167, -302?\nAnswer: -477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2470 is divided by 496.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 248 = -4*s - 248 + 474 - 148, 37 = -s + 5*p for s.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 49.\nAnswer: -6\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8843*k + 8636*k = 414 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -33 + -69 - -61.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4631077507 to the nearest integer?\nAnswer: 1667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 2. Suppose -2*a - 2*a + 4*f = -260, 197 = z*a - 2*f. Calculate the remainder when a is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**3 - 2*d**2 - 561*d - 492. Give t(-16).\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2114 - -1765.\nAnswer: -349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -259*s + 5701. Let n be z(22). Solve -40 = -n*b + 5*i, -2*b = -5*i - 4 - 31 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21368 divided by -11.\nAnswer: 21368\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4745, -4744, -4743?\nAnswer: -4742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7*s**2 - 10*s - 11. Let r(m) = m**2. Let x(l) = 6*r(l) - y(l). Let g be x(12). Let i = -8 - g. What is the greatest common divisor of 5 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 10, -1, -3, -13 in increasing order.\nAnswer: -13, -3, -1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -4*g**5\/13 - 162*g**4\/13 - 808*g**3\/13 - 1356*g**2\/13 - 916*g\/13 - 210\/13 = 0?\nAnswer: -35, -3, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116214677?\nAnswer: 116214677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 5*t - 10 - 10, 5*t = 3*w + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3211840*n**3 + 3*n - 101058879 wrt n.\nAnswer: -9635520*n**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -60a1d - 12c?\nAnswer: -60b4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -5*w + 52, 372 = 10*w + 35*w + 4*l for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00039060618 rounded to six decimal places?\nAnswer: -0.000391","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let k be 22\/(-7) - (-27 - -23). Which is bigger: k or 9\/2?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 74 = 70. Sort 4, -15, i, -2 in decreasing order.\nAnswer: 4, i, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3468 divided by -4.\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*s + 1 = 0, 6*s - 7*s = -2*g + 4. Let u = -8 - -9. Suppose -2*f - u = -9. Solve -q + f = w + 3, 3*q = -w - g for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 21*a**4 + 33*a**3 - 83442*a**2 - 297672*a - 142848 = 0.\nAnswer: -62, -3, -4\/7, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 28*y + 804. Let k(j) = -22*j - 806. What is -4*f(w) - 5*k(w)?\nAnswer: -2*w + 814","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52*h**2*n**2 + 2*h**2*n + 27561*h**2 + 53*h*n**2 + 6*h + 3405*n**2 + 1 wrt h?\nAnswer: 104*n**2 + 4*n + 55122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 - 3*h. What is the remainder when d(-3) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -5*b**2 + 314370*b - 4941424845 = 0.\nAnswer: 31437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v - 14. Let g be 13\/(-3) + (-2)\/3. Let j be h(g). What is the third derivative of -30*y**2 + 9*y**j - y**6 + 34*y**2 wrt y?\nAnswer: 960*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 168.0161 - -0.1839. Let j = -168 + g. Which is the third smallest value? (a) -1 (b) j (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**6\/72 + 8*v**5\/3 + 640*v**4\/3 - 67*v**3\/3 - 51*v**2. Let h(j) be the first derivative of l(j). Factor h(r).\nAnswer: 5*(r + 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h + 5. Let n be r(7). Let i = n - -21. Sort i, -5, -20, 1\/4 in decreasing order.\nAnswer: 1\/4, i, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -949\/3 - -9583\/30. Let k = -69337\/24 - -2888. What is the common denominator of l and k?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42417 is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 222787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, z: 1, g: 1, l: 6, d: 1, v: 1}. Give prob of sequence lzv.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.59 and 43.\nAnswer: 40.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -60 - -42ab?\nAnswer: 424b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -241, -240, -239?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 132097051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 190054776 and 71270541?\nAnswer: 570164328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -15030 divided by 2505?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 422*x - 2378*x - 197*x in the form z*x + q and give z.\nAnswer: -2153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 at most as big as 72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65740654 is divided by 277?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6888 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*c = 62*c - 5. Let y be (-1)\/4 + (-89)\/(-4). Let j be (-2 + 1)*(-4)\/y. Is j > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.03 (b) 9.624 (c) 5 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from mmvvmmmvmvmmmm?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w + 8974 - 8974.\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.032029 - 38258.\nAnswer: -38258.032029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) -9\/25 (c) -1\/6 (d) -2 (e) -0.3 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 5*p**2 - 7. Determine h(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*a - 233 - 53. Let t = 29 - a. Solve t - 14 - 5 + 2*j**2 + j + 3*j = 0 for j.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162776.\nAnswer: 2, 20347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3494 + 545. Round n to the nearest 10.\nAnswer: -2950","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -28*t**2 + 113*t**2 - 27*t**2 - 45*t**2 - 5. Let b(p) = 2*p**2. Give b(w(y)).\nAnswer: 338*y**4 - 260*y**2 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 - 31*j**2 + 2*j**2)*(-3*j + j + 0*j) + 3*j**3 - 4*j**3 + 3*j**3.\nAnswer: 54*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssuh when four letters picked without replacement from {g: 2, u: 2, s: 2, h: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 186 and 6390.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -246 + 66. Let u = -105 - r. Let i = 40 - 10. Calculate the greatest common divisor of u and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17 + 30036*o**5 - 31149*o**5 - 18 - 2*o**5 + 3*o**5 - 3*o**5 + (-o**4 - o**4 + 0*o**4)*(4*o + 2*o - 4*o).\nAnswer: -1119*o**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 824140 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1403349.1 rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 213 = 4*b - 0*k, 0 = b - 5*k - 27. Suppose -2*y - 5*r = -r - b, -r + 37 = 2*y. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205877 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.6, -6, -2, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 1:42 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (26\/(-6))\/(11\/(-33)) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/6 - 8)*(-2 - (-893)\/304).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 0*v. Let j be (588\/(-36) - -20) + 2\/6. Sort j, v, -2, 1 in ascending order.\nAnswer: -2, v, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -23, -112, -323, -710, -1327?\n\"Answer: -9*p**3 - 7*p**2 - 5*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**5\/4 - p**3\/2 - 3*p. What is the second derivative of l(v) wrt v?\nAnswer: -30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 9*q. Solve -4*v = -q*f - 4*f - 12, v - 2*f - 7 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1761960 divided by -6.\nAnswer: -293660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(12\/(-15))*2\/(-30)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 5*k = -40, -l - 3*l + 4*k = 64. Let j be ((-2)\/1)\/(8\/l). Let y = j - 0. Solve 0 = y*s - 4*t + 11, s - 2 = 5*s + t for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**2\/3 + 496*l\/3 + 944 = 0. What is l?\nAnswer: -118, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -192 + 186.99. Let u = 5 + f. Is u > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - z**2)*(-2 + 3*z + 2) - 4*z + 4*z + 2*z**3 + (-195*z + 195*z + 275*z**3)*(-2 + 2 + 2).\nAnswer: 549*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*i**4 - i**3 - 127*i**2 - 10*i + 196764 with respect to i.\nAnswer: -36*i**3 - 3*i**2 - 254*i - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ycc when three letters picked without replacement from yyyycyccyy?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21536428, -43072852, -64609276?\nAnswer: -86145700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iim when three letters picked without replacement from {i: 2, s: 1, j: 1, m: 1, a: 3, x: 5}?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y - 383 - 384 - 373 - 370 + 1521.\nAnswer: -6*y + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from hhyhyhhhhv?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 - 2*t**2 + 2*t**2)*(-2*t + 5*t - t) + 2*t**3 - t**3 + 0*t**3 + 66*t**3 - 46*t**3 - 191*t**3.\nAnswer: -174*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2150688717 to the nearest integer?\nAnswer: 1291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -6*l + 2640. What is l rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s - 14. Let g be n(6). Suppose 3*i + 0*i = 12. What is the third derivative of g*v**2 + 5*v**4 + 0*v**4 - v**i wrt v?\nAnswer: 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2231423958.\nAnswer: 2, 3, 31, 83, 144541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, q: 3, w: 3}. Give prob of sequence qff.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 5:52 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -337132617 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6161593327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 48*o - 197. Let h(z) = 0*z + 81 - 132 + 55*z - 144 - 4*z. Let t(w) = 6*h(w) - 5*p(w). Find the first derivative of t(s) wrt s.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15974143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 11 + 4 - (-1 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194508500 + 40351*x**3 - 2837*x**2 - 40347*x**3 + 1598700*x - 1543*x**2 = 0. Calculate x.\nAnswer: 365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48027?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -25317 (base 8) in base 2?\nAnswer: -10101011001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -154. List the prime factors of d.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 14*y**2 + 13*y + 5. Let t be j(-13). Find c such that -t*c**2 - 24*c - 4*c**2 + 12*c**2 = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 - 25. Suppose 4*r = 4*q - 0*r - 64, -q - 4*r = -x. Suppose -75 = -3*j - q. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/4*-3*1. Suppose 2*i + 2 = z*i. Suppose 5*w - 353 = -5*q + 2, -i*q + 127 = -w. Is q a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/82467 and 37\/15856155.\nAnswer: 174417705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 11:48 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 497 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 6 - (1 + 11 - 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20141 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 533 and 158.\nAnswer: 84214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 144, 142, 140, 138, 136, 134?\n\"Answer: -2*k + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*z - 96 = 0. Suppose -r + z = r. Suppose -27*s + r*s + 711 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (63 + (-4)\/(-2))*(32 + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 46 = -36 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - k + 7347 + 4842 = 0, -k + 18281 = 3*a. What is the third derivative of -11*h**3 - 6*h - 6103*h**4 + a*h**4 + 10*h**2 + 2*h**3 wrt h?\nAnswer: -264*h - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1215*a - 1 - 1217*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 4*v**2 - 3*v + 5. Let n be o(-4). Let b(f) = -f**2 - 2*f. Let w be b(-3). Let t = n + w. Calculate the highest common divisor of 126 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 4 + 0)*(3*v - 2*v + 0*v)*(-4*v + 2*v - 14*v) as b*v + x + i*v**2 and give i.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 6*n**2 + 2. Calculate y(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108018 is divided by 100.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1573 and 286?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 0. Suppose 3*d = -4*m + 4, 5*m + 2*d = 7*d + 40. What is the second biggest value in m, g, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**4 + 2*x**4 - 3*x**4)*(6*x - 3*x + 0*x) - x**5 + 2*x**5 - 2*x**5.\nAnswer: -4*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3521 - 3518. Suppose -4*k + 13 + 19 = 0. Solve 5*o + 4*g = -22, k + b = 2*o - 5*g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -83, -143, -255, -437, -707?\nAnswer: -1083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 e when three letters picked without replacement from vevvevveev.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + 2*r**2 + 3*r**2)*(0 + 0 + 2) - 2*r**2 + 2*r**2 - 2*r**2 - 19*r**2 - 3794*r + 3794*r - r**2 - 2*r + 2*r.\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307822 is divided by 23678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 48904813 - 0.30397?\nAnswer: 48904812.69603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.229427931 + -3.\nAnswer: 1.229427931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00447121 rounded to five decimal places?\nAnswer: 0.00447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -24*r**2. Let i(q) = 3*q - 7. Let y(a) be the second derivative of a**3\/3 - 5*a**2\/2 + 49*a. Let f(z) = -5*i(z) + 7*y(z). What is f(j(n))?\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4690405?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 1118*b + 84*b**3 - 822 - 528*b**2 + b**4 + 102 - 46*b = 0.\nAnswer: -90, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 a when four letters picked without replacement from {r: 8, a: 3}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -373*u**6\/6 + 2*u**2 + 6*u - 358. Find the second derivative of y(d) wrt d.\nAnswer: -7460*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -4*s - 16*l + 20*l, 3*l - 91 = -5*s. Solve 25*u - s*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768517627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 97, -3, 7, 5 in decreasing order.\nAnswer: 97, 7, 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -82806.1 - -89872. Round a to the nearest one hundred.\nAnswer: 7100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3742, -7482, -11222, -14962?\nAnswer: -18702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*g*w**3 - g*w**2 + 18514*g*w + 4*w**3 - 78*w**2 wrt w?\nAnswer: -48*g*w - 2*g + 24*w - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 5:27 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 - 2*u - 2. Let h(g) = g + 87. Let z be h(-4). Suppose z = 8*p + 59. Determine v(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1169 and 1002.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 12 + 6 - 6)*(4*h + 2 - 2) + 2*h**2 - 2 + 2.\nAnswer: -2*h**2 + 48*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 4*f + 5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9900506467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -13.2, 9\/4, 28?\nAnswer: -13.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ae when two letters picked without replacement from aoapepekpzao?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4650 divided by 6.\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4624474?\nAnswer: 2, 67, 34511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3451, -6905, -10361, -13819, -17279, -20741?\nAnswer: -24205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.10609l in millilitres?\nAnswer: 84106.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kw when two letters picked without replacement from flqfwfqqqfkqm.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 5*z + 123, -3*d = z - 98 - 37. Let b = 52 - 29. Calculate the greatest common divisor of b and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/7 or 32986?\nAnswer: 32986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 6*c + 21. Give h(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 14\/((-168)\/(-20))*-3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014931545 rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 25 + 45 = 0. What is the lowest common multiple of f and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 3*p**2 + 3*p - 2. Let i be c(4). Let q = i + -12. Suppose 0 = -3*m - q + 65. What is the common denominator of 37\/10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35 and 350.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 26*1\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 6*z - 5*l + 9 = 0, z = -3*l - 1. Suppose d = -2*j + 432, -3*j = -z*j - 2*d + 1080. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 2*u**3 - 5*u**2\/2 - 5*u + 33. Let r(m) = -m**2 + m + 1. Determine k(f) + 5*r(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -11. Let b(d) = -d**3 + 5*d**2 - 5*d + 7. Let k be b(c). Let x be ((-2)\/6)\/(1\/k). What is the highest common divisor of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55457 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**6\/120 - k**5\/20 - k**4\/12 + 2*k**2 + 51*k. Factor g(q).\nAnswer: -q*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, p: 3, z: 1, o: 2, a: 1, h: 3}. Give prob of sequence zo.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -179*m**2 + 117*m**2 + 61*m**2. Let v(b) = 232*b. Determine i(v(z)).\nAnswer: -53824*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, s: 1, j: 1, d: 1, c: 1}. What is prob of picking 2 c and 2 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*z**2 + 0 - 4\/19*z**3 + 0*z - 2\/19*z**4.\nAnswer: -2*z**3*(z + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**2\/5 + 44*u\/5 + 141\/5 = 0.\nAnswer: -3, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 768 = r, 0 = -r + 5*r + 2*k + 3122. Let p = r - -1570. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4\/14919 + 14819\/372975. Sort c, -0.3, -2\/15, -1, 0.5 in decreasing order.\nAnswer: 0.5, c, -2\/15, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4655 - 0?\nAnswer: 4655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 12586 and 0.10802.\nAnswer: 12586.10802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 1:53 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i + 0*i + 13*i + (4 + 0 - 2)*(0*i - i - i) + 12*i - 5*i + 6*i.\nAnswer: 19*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 73 = c, -2*p + 5*p = 3. Let w = 113 + c. What is w rounded to zero decimal places?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2919001 (base 10) to base 16.\nAnswer: -2c8a59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47516992 is divided by 341.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 2 + 3*b + 5)*(b**3 + b**2 - b**2) as n + h*b**2 + l*b**4 + z*b**3 + y*b and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pyppbypyypppbp. Give prob of sequence yy.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*t + 10*t + 9152. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -143 + 333. List the prime factors of w.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -55, -48, -37, -22?\n\"Answer: 2*a**2 + a - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.99 + 5.99. Sort j, -3, -10 in decreasing order.\nAnswer: j, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48076 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3289470 divided by 3\nAnswer: 1096490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h + 19*h + 10*h**2 + 0*h**2 - 28*h.\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 5*c**4\/48 - 5*c**3\/3 + 15*c**2\/2 + 23*c - 5. Factor a(d).\nAnswer: 5*(d - 6)*(d - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3072500 to the nearest 10000.\nAnswer: -3070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -115609358?\nAnswer: -115609358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2999285 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pq when two letters picked without replacement from {h: 3, v: 11, q: 2, p: 3}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1039299435?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 640574 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x + 740 = -352. Let w = x + -92. Let b be (-3)\/(w\/(112\/6)). Solve -9*n + b*n - 2 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4243*v + 632 = 4164*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(1*sqrt(12)) + ((sqrt(33)\/sqrt(3))**2 + 0 - sqrt(11)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*w - 11278, -13*w + 11279 = 3*i - 9*w. List the prime factors of i.\nAnswer: 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 39 = -2*p + 101, -3*c + 31 = p. Suppose -4*a - p = -5*b, 4*b - 2*b - 26 = 5*a. Suppose 9 = b*j - 6. Solve j*l = -7 + 17 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81 + -5 - (4 - 53 - -33).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*84483\/(-48) + (-16)\/128. Suppose 27*y = 5*y + g. Is 16 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t + 5*t + 3*t**3 - 10 + t**2 - 4*t - 2*t**3 as q + n*t + g*t**3 + b*t**2 and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3559, 4\/3, -78?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 4*d - 14919, n + d - 4116 + 1133 = 0. Calculate the highest common factor of n and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/13 (b) 0 (c) 0.2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1322753 (base 11) in base 12?\nAnswer: -9239a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 153300 (base 6) in base 3?\nAnswer: 202121000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -2*f**6\/3 - 9*f**2\/2 - 13. Find the second derivative of c(u) wrt u.\nAnswer: -80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 7 - 17)*(-2*g - 2 + 2).\nAnswer: 42*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2. Let l(q) be the first derivative of -q**2\/2 + 3. Calculate l(u(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 321 - -119. Is 22 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + (8 + -4 - 3). Let c(b) = -31 + 2*b + 64 - j*b**2 - 28. Let y be (-8 - -3)*(-14)\/(-5). Let x(q) = -12*q**2 + 6*q + 14. Calculate y*c(u) + 5*x(u).\nAnswer: -4*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 - (-132 + (1 + 7)*-1). Calculate the greatest common factor of h and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67031?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/48 and -83\/2598?\nAnswer: 20784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 6 - (-123165)\/(-11220)\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -20.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37.3 - -37.2. Sort -4, 7, q in decreasing order.\nAnswer: 7, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 412422917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 797300 and 3570.\nAnswer: 2391900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 20*h**5\/3 - 8*h**4\/3 - 40*h**3\/3 + 16*h**2\/3 + 20*h\/3 - 8\/3 = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -69*g**2 - 9*g + 9. Give s(2).\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 233929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 172 + -170. Solve -i*v = 5*u + 18, -5*u + 0*u - 4*v = 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7111 to 1 dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 0.19936361 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2\/5, 1\/4, -231 in increasing order.\nAnswer: -231, 0.2, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -5, 15 in descending order.\nAnswer: 15, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/11 and -20\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 170*y + 3294 - 3464 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -6*b - 42. Let h be o(-8). Sort -2, h, 5, 0.\nAnswer: -2, 0, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6569, -6688, -6895, -7196, -7597, -8104?\nAnswer: -8723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 436224 and 4512?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (4 - -4))*15\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -37, -134, -321, -628, -1085, -1722?\nAnswer: -2569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/16 of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41.0008 - -2.8018. What is y rounded to one dp?\nAnswer: -38.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 0*z - 3*r - 9 = 0, 0 = 11*z - 2*r - 51 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-127)\/((5\/10)\/(1\/(-2))). Let n = -98 + c. Calculate the remainder when 53 is divided by n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*w**5 - 12*w**4 + 12*w**4 - 12*w**5 - 3*w**3 + 3*w**3 + (-2*w**5 - 2*w**5 + 6*w**5)*(-1 + 4 - 2) + w**5 + 2*w**5 - 4*w**5.\nAnswer: -18*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 + -25. Let b = f - 11. Solve -4*s + 1 = -5*m - 4, 4*m = 2*s - b for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29464 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 2. Let j be p(0). Let c be ((6 - 8) + 6)*1. Sort c, j, 3, 36 in descending order.\nAnswer: 36, c, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53284034.\nAnswer: 2, 191, 139487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1940 = n - 4*n - 4*u, -4*n - 2*u = -2590. Suppose -9*k + 13*k = n. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15946 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.67625 nanograms to grams.\nAnswer: 0.00000006267625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -2\/7 (b) -4 (c) 1\/5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14714 (base 9) in base 12?\nAnswer: -59a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 + 12 - 18)*(-12 + 12 - 9*j)*(-25*j + 12*j + 14*j) + (-4*j + 4*j + j)*(3*j - 4*j - j).\nAnswer: -173*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59)\/((-1239)\/28)*(-51)\/(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-55)\/(-20) - 2\/(-8). Suppose -5*w + 0*w + 199 = q*b, 3*w + 5*b - 113 = 0. Find k such that 39*k**3 + 2*k**2 + 2*k**2 + 0*k**2 - w*k**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000010489 to seven dps.\nAnswer: -0.0000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*l - 128*l = 46 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6770 is divided by 244?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(684) + 1*sqrt(684)*2 + -3*sqrt(684)*2)**2 + 0 + (-4 + 1 + sqrt(684) - (sqrt(684) - (sqrt(684) + 0)*6))**2).\nAnswer: -648*sqrt(19) + 92367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 15. Suppose a - 2*a - 4*r - 17 = 0, 4*a + 3*r + 3 = 0. What is the third derivative of d**2 + x*d**a + 2*d**2 + 0*d**3 wrt d?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18020743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 7*a. Let w = 0.1 + -0.6. Suppose -65 = -2*t - u - 50, -2*t + u + 5 = 0. What is the closest to a in w, 2, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1377 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311643.\nAnswer: 3, 31, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 669*t - 36 = 687*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 2*g**2 - 16*g - 29. Let z be f(-4). Suppose s + s - j = z, 0 = -5*s - 5*j + 30. Solve 5*r - s*a = 6, 4*r + 5*a = -r - 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2. Let b(s) = 5*s**2. Suppose -f + 1 = -2*f. Give f*b(m) - 6*a(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 4*c - 2*c)*(5 + 0 - 3) + 6*c - 2*c - 2*c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 14*v - 204. Determine q(18).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.245 or 186540?\nAnswer: 186540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 247 (base 11) to base 12\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or -7\/5?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 - -26. Suppose 4*m - 4 = -40. List the prime factors of l\/(-6) - 3\/m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2260*1.5.\nAnswer: 3390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179, 332, 455, 548, 611?\nAnswer: 644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 7. Suppose -8*l + 2 = -7*l. Suppose -7390 = -2*n - 2*v, 0 = 5*n - y*v + l*v - 18515. Round n to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t**2 - 3*t**2 - t**2)*(108 - 415 + 3*t**2 - 542*t + 542*t) in the form i*t + h*t**3 + d*t**4 + a*t**2 + c and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4490458.55 + 2\nAnswer: -4490456.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62*o**2 - 154*o wrt o.\nAnswer: 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1200 + -10222?\nAnswer: -12122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3\/5 + 24116*l**2 - 964832*l\/5 + 1929792\/5.\nAnswer: 4*(l - 4)**2*(l + 30153)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 + -56. Which is smaller: -112\/5 or p?\nAnswer: -112\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -7*a**6 + 5*a**5 - 4*a**2 + 5. Let i(r) = 6*r**6 - 4*r**5 + 3*r**2 - 4. Let d(w) = 5*i(w) + 4*l(w). Find the third derivative of d(o) wrt o.\nAnswer: 240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -11*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96512 + 6563*l**3 - 6571*l**3 - 96512.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 0*w - 48 = -4*m, 24 = 2*m + 4*w. Suppose 9 = 3*z - m. Suppose 0 = -z*l + 551 + 786. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2326 = -291*x - 289 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 14*q - 18 = 0. Sort -2, 16, q, -1 in descending order.\nAnswer: 16, -1, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105 and 640185.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 11*j**3 + 9*j**2 + 28*j + 171. Let n(b) = -3*b**3 - 2*b**2 - 7*b - 43. Let s(p) = 2*m(p) + 9*n(p). Find the first derivative of s(f) wrt f.\nAnswer: -15*f**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 3*o - 2343 = -2340, o = 4*i - 1 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18 or 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 1. Let l be n(-1). Calculate the greatest common factor of 18 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3467*x + 3508*x = 41 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/280, 3, 0.045 in increasing order.\nAnswer: 3\/280, 0.045, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 g, and 1 n when four letters picked without replacement from sggnonosss?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/9, 2, 0, 367, -21.86?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 - 42 - (1 + -2 + (-30 - -26))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 105707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1132039 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/10 + 0)\/((-61677)\/(-1485) + -42).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2633, -2658, -2699, -2756, -2829?\n\"Answer: -8*t**2 - t - 2624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -99, -145, -189, -231, -271?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3128.9 times -6177?\nAnswer: 19327215.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2683?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 10:27 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*g**2*n**3 + 31*g**2*n**2 - 3*n**3 - 111*n with respect to g.\nAnswer: 18*g*n**3 + 62*g*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 34*n**7\/7 + 47*n**4\/2 - 114*n**3 - 5*n**2 + 2311. What is the third derivative of x(h) wrt h?\nAnswer: 4080*h**3 + 564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1520258 is divided by 141.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 + 98*y + 1148. Let p(c) = 6*c**2 + 295*c + 3442. Let h(q) = -7*m(q) + 2*p(q). Factor h(z).\nAnswer: -2*(z + 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c. Let r(f) = 4*f - 1. Determine -3*r(q) + 8*y(q).\nAnswer: -4*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (15 + -6 + -5) - -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 215 = -b, 983 = 5*b - 16*k + 14*k. Let y be (((-2)\/3)\/(-1))\/(70\/b). Is y bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + 0.1227.\nAnswer: 0.6227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11122 (base 5) in base 9?\nAnswer: -1064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 45 = -5*i + h, 5*i - 3*h - 37 = 0. Let p(v) = 41600*v**3 + v**2 - 4*v - 5. Let k be p(i). What is k rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2579, -5159, -7739, -10319?\n\"Answer: -2580*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.43 + 0.03. Let p = -1.94 + 1.84. Which is the third smallest value? (a) d (b) 0.01 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 1. Let a(o) = o - 7. Let y(d) = -a(d) + 2*k(d). Let m be y(5). Suppose -3*p - 2*p + 25 = 0, 18 = z + m*p. Is z greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - (-2409)\/(-388) - 6\/3. Let v = -4\/97 + b. Calculate the common denominator of 5 + (-3 - -1) - 10 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*o + 14*o + 48. Solve -2*h - 3*y - 13 = 0, 3 - o = 3*h - y for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -445 = -8*w + 319 + 236. Solve -122*g = -w*g - 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -27, -52, -85, -126, -175?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19006*g**4 + 663*g**2*i - g*i + 113140923*i wrt g?\nAnswer: 76024*g**3 + 1326*g*i - i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-2 + 4)) + (-9 - (8 - 21))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + -1)\/((-1)\/42). Suppose -3*i + h = -9. Suppose -2*m - 12 = -110. What is the remainder when m is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57394428.\nAnswer: 2, 3, 7, 13, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*1\/2*112\/3248?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 5. Let s(f) be the third derivative of 2*f**2 - 1\/12*f**4 + 0*f + 0 + 4\/3*f**3. Let y = -1 + -4. Calculate y*s(u) - 8*x(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5142 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -746 - -745.661. Let l = 0.061 - q. What is the biggest value in 6, 0.5, l?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*y + 16 = 2*a, -2*y = 2*a - 22. Suppose -2*z = y, z + 86 + 77 = 5*b. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**5 + 460*r**4 - 24796*r**3 + 421856*r**2 - 1098834*r + 701316 = 0. What is r?\nAnswer: 1, 2, 33, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -3 - (4 + 2 - ((-18 - -28) + 7)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 50*l - 265. Let v be q(-6). What is the third smallest value in -10, -4, v, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) -2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 24*k**2 - 69*k - 109. Is 54 a factor of z(28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3459*h - 3735. Calculate j(1).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -194 - (47 - 175) - -43.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -1\/120*x**6 + 0*x + 1\/20*x**5 + 1\/24*x**4 + 0 + 0*x**3 - 5*x**2. What is v(4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 + -56. Let j = -101 - b. Let v = -83.4 - j. What is v rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8602662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b - 1. Let p be k(2). Let z = p - -3. Solve 4 = -5*o - z, -o + 3 = -n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -2016979515.6.\nAnswer: -2016979516.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*1*-2 - (sqrt(11) - (-3 + sqrt(44)\/sqrt(4))) - ((sqrt(198) - (4*sqrt(198) + sqrt(198) - sqrt(198) - sqrt(198)))\/sqrt(9))\/sqrt(2))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-288294)\/(-8))\/1 - 26\/(-104) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -g**8\/6720 - g**7\/360 - g**6\/180 + 7*g**5\/120 + g**4\/6 - 2*g. Let u(r) be the third derivative of l(r). Determine u(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 16, -206*p + 4*z - 6*z = -1709*p - 1548*p - 0 + 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-45) + ((-2905)\/(-975))\/1 + -3. Which is the nearest to 1? (a) -335\/6 (b) k (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p - 3. Let x(t) be the first derivative of -3\/2*t**2 + 5 + 2*t. Determine -2*k(y) - 3*x(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1822753 to the power of 1\/2, to the nearest integer?\nAnswer: 1350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 c when three letters picked without replacement from {h: 1, l: 8, f: 1, j: 1, c: 6}.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 2993 - 42487 = 0. Does 78 divide 4\/44 + h\/(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20424 and 189129.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4*x = 80, -2*y = -y + 2*x - 22. Calculate the lowest common multiple of 18 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6045 and 3?\nAnswer: 6045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 273188 and 30644.\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.527 and -1239889469.\nAnswer: -1239889470.527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329603 is divided by 2060?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2249275 - -0.9.\nAnswer: 2249275.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13312 - 13284. Suppose 0 = -v - 4*v + 970. What is the remainder when v is divided by i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -66*s**2 - 3*s - 45. Let y(p) = -32*p**2 - p - 19. Calculate -3*v(u) + 7*y(u).\nAnswer: -26*u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 64840.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**2*v**4 - 13*c**2*v**2 - 13*c**2 - 53*c*v**6 wrt v.\nAnswer: 48*c**2*v - 6360*c*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/213 and 47\/3.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s**2 + 7*s + 7. Let o(j) = j**2 - 3*j - 3. Suppose 5*a - v + 19 = -5*v, -a = 4*v + 7. Let p = -22 - -1. Let n = p + 14. Determine a*b(t) + n*o(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + (-362280)\/(-2160) + -147.\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 - 2\/(-8)*-8. Suppose -a*q - 22 = -5*i + 4*i, -25 = 4*q + 3*i. Let f(c) = c**2 + 8*c + 6. Calculate f(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g**2 - 7*g**2 + 10*g**2 - 2*g**3 + g + 3*g**3. Let l(w) be the third derivative of w**4\/12 - w**2. Determine -2*f(n) + l(n).\nAnswer: -2*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130015 is divided by 239?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5599712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r**3 - 52*r**2 - 56*r + 336. What is y(18)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*i - z + 2, 4*z = -20. Suppose 2*f + 120 = i*f. Suppose -2*r - 12 = -5*g, 0*r - f = -4*g - 2*r. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6450211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -20 + 15. Suppose -j = 4*j. Which is the second biggest value? (a) p (b) -0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -4145a3?\nAnswer: -4145a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192 and 7808.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60 + -57. Suppose -869 = -4*m - 277. Suppose -h*j = -j - m. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 6726409.\nAnswer: -5\/6726409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/263508 or 9\/10?\nAnswer: -1\/263508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - l - 81 + 48.\nAnswer: -l - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f - f + 39 - 41. What is j(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43\/25 - -723\/275. Suppose 5*q - 3*y - 12 = 0, -3*q - 4*y - 10 = 6. Is q != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h**3 + 50*h**2 - 74*h - 537. Give a(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 224.63715 months in years?\nAnswer: 18.7197625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97535 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 at most -12649\/619?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 390 + -374. Let k(o) = -2*o**2 + 2*o + 4. Let j be k(4). Let l be (-2)\/(((-1)\/(-1))\/j). Calculate the highest common divisor of l and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192922 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 12:59 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**2*s**2 + 2*b**2 - 22*b - 84*s**2 + s wrt s.\nAnswer: 2*b**2 - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 1. Let c(l) = l**2 + 1. Let o be 2\/5 + 24\/15. Calculate the remainder when c(o) is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2914408 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1964 and -13.99?\nAnswer: 2.747636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28\/149 + 3622\/1341. Find a, given that -4\/9 - 22\/9*a + f*a**2 = 0.\nAnswer: -2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -421212304 (base 5) to base 16\nAnswer: -1a930b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153 + 3657*l**2 - 3649*l**2 + 134 - 478.\nAnswer: 8*l**2 - 497","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/7 + (-48)\/(-21). Let n = 269.1 + -269. Which is the nearest to v? (a) 2\/7 (b) 0 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34494 and 5880?\nAnswer: 33804120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s - 2. Let g(r) = r**3 + 21*r**2 + 20*r + 8. Let b be g(-20). Calculate o(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2173125 - 133743?\nAnswer: 2039382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 6*t**2 - 4*t. Let v be p(5). Let l(z) be the third derivative of -z**5\/60 + z**4\/3 - 2*z**3\/3 - z**2. Give l(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14591\/43908 + -15\/14636. Let b = 0.15 + 7.85. Let t = 7.7 - b. What is the third smallest value in 0, t, c, -11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 115\/3 + -38. Let m = 5.07 - 0.07. Let p be 2\/24 + (-1)\/3. Which is the nearest to p? (a) m (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 68*y**3 + 2516*y**2 + 2*y + 73. Calculate c(-37).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 7*p + 15 - 9 - 7. Calculate z(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71148 and 13861155.\nAnswer: 2541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/726 and -25\/924.\nAnswer: 10164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -7 (b) 0.01 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyiiyyyyiy. What is prob of picking 2 y?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*v - v + 159, 297 = 4*b - v. Let f = b + -65. Calculate the highest common divisor of 40 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*w - 3*h, -3*w - h - 5 = -15. Suppose -w*z = 44 - 68. What is the lowest common multiple of z and 27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 + 34 = 3*p. Suppose 0 = -2*v + 4*v - 5*b - 106, -3*v = -5*b - 164. Let k = v - p. Is k equal to -2\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1132 + 40 = 55*s - 13*s for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -5 - 5. Let m(f) = -f - 6. Let l be m(-3). Let d = l - i. Let k(p) = p + 2. What is k(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 1, 0, 6\/653.\nAnswer: 0, 6\/653, 1\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -56478, -56400, -56180, -55746, -55026?\n\"Answer: 12*m**3 - m**2 - 3*m - 56486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11, 14, 2\/11, 0.\nAnswer: -0.11, 0, 2\/11, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1415678?\nAnswer: 2, 11, 229, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.730099 milligrams?\nAnswer: 0.000000730099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 4*s - 89, 5*d - 3*s - 14 = 4*d. Suppose -26434 = -2*c - 3*a, -13*c - 52868 = -d*c + 5*a. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 1686.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 681 - 405. Suppose -2*w + 32 = 3*b + 216, 5*b = 3*w + d. List the prime factors of 8\/(-40) - w\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4707 divided by 1\nAnswer: 4707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 7 = 3*o. Suppose -1 = -o*l + 4*l. Suppose -3*f - l = -37. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/7)*s)**(4\/19)*((s\/s**2)\/s)\/s**(-7\/3))**(-13\/4) assuming s is positive.\nAnswer: s**(-3133\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a factor of 75531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j + 5. Let q be s(0). Let n be 2\/5 - 43\/(-5). Let c = q + n. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/15)\/(o**(-3\/7)*o))\/((o*o**4)\/((o\/(o*o*o**(2\/3)*o))\/o)) assuming o is positive.\nAnswer: o**(-328\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*o - 1)*(4*o - 4*o - o) + (-30*o**2 + 1188 - 1188)*(-1 - 4 - 3).\nAnswer: 237*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4214 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 10. Let l be 80\/14 - 8\/(-28). What is n(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4*(-3 + 0 + sqrt(475) - -5*sqrt(475)*1)*5)**2*-2.\nAnswer: -82123200 + 864000*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.5 - -0.5. Which is the second smallest value? (a) f (b) -4 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - n)*(5 + 5 + 17)*(0*n**3 + 0*n**3 - 3*n**3).\nAnswer: 81*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 8 = -4*y, -9*y - 351 + 362 = 2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5a32 - -2?\nAnswer: -5a30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61\/35 + 8\/7. Let v(x) = -x**2 - 13*x - 13. Let p be v(-8). Let q = -3.33 + 3.23. What is the nearest to p in q, -5, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((-54)\/(-15) - 2) - -1\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 25494*3\nAnswer: 76482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 231 - 226. Suppose 2*d - s*g - 60 = -3*d, -4*g = -3*d + 41. What is the highest common factor of 1 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/72*(-1)\/(-2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -1, 0.1, 2, 2\/41, 5\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**3\/3 + 3*m**2 - 22*m - 6. Let k be (-106)\/12 + 8\/(-48). Let u be z(k). Solve 3*w = u*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 248*f**2 + 248*f wrt f?\nAnswer: 496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 l when two letters picked without replacement from vjvvilviijviiiglvvj?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/215928 and 127\/36.\nAnswer: 215928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3829\/(-15)*(-1826)\/(-44). Let m = -10597 - y. Find the common denominator of 73\/16 and m.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 2 + 2)*(3*o - 5*o + o) + 13*o - 3*o - 2*o)*(0*o**3 - 2*o**3 + o**3) in the form r*o + n*o**2 + l + x*o**3 + d*o**4 and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9548, -10157, -10770, -11387, -12008?\n\"Answer: -2*a**2 - 603*a - 8943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 108*z**2 - 46*z - 2414. Let y(m) = -2*m**2 - 9*m + 1. Let s(k) = -i(k) + 5*y(k). What is the first derivative of s(c) wrt c?\nAnswer: -236*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 296 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-10)*((-32)\/8 + 3). Is 1 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*-3*1\/(-3). Suppose m*i - 211 = 149. What is the highest common factor of 18 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 10\/(-2 - -4). Let t be (-2)\/2 + 33\/m. Suppose t = w - 109. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(133) - -3*(sqrt(133) + -2*sqrt(133))))\/(sqrt(28) + -2*sqrt(2268)).\nAnswer: -5*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 2*x + 5. Let o be s(-5). Let r(k) = k**2 + 6*k. Let u be r(o). Let a = u - 16. Calculate the greatest common factor of 3 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -7, 1, -1, -0.5.\nAnswer: -7, -1, -0.5, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - q + 9 + 27 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s - 5*i - 0*i + 35, -988*s + 2*i = -994*s + 46 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cwu when three letters picked without replacement from iiiiiiciiwcwui?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2439153683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 10 = -6*b. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**3\/13 - 66*z**2\/13 + 752*z\/13 + 3936\/13 = 0.\nAnswer: -41, -4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -45?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 26869 and 4\/625 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j + 12. Suppose 3*l = 4*n + 12, -3 - 1 = -5*n - l. Let t be w(n). Let r = 13 - t. Put 2, r, 9 in ascending order.\nAnswer: r, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m + 50. Let v(r) = 875*r + 2. Give v(a(b)).\nAnswer: 1750*b + 43752","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.55328925 + 5?\nAnswer: 4.44671075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 2\/7, 48\/11, -15 in descending order.\nAnswer: 5, 48\/11, 2\/7, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.31 and 3.6.\nAnswer: 1.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 711136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 331786057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 66\/(-15) + (-4)\/(-10). Let x be (-2)\/m*(1 + 3). Suppose 4*w + 2 = -u + 23, -5*u = -x*w - 17. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33104 or 198631\/6?\nAnswer: 198631\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 146797397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135)\/(-171)*(-3420)\/(-1440).\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162)\/sqrt(6))\/sqrt(9) + sqrt(3))**2*-1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 271 - 263. Differentiate 108 - p - 2*q**3 - 2 - q**2 with respect to q.\nAnswer: -6*q**2 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 41846*q**4 + 403*q**3 - 3755363 wrt q.\nAnswer: 167384*q**3 + 1209*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 4. Let j(d) = -d**3 + 11*d**2 - 20*d + 12. Let k = -30 + 39. Let p be j(k). What is the remainder when x(p) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + -6)\/4*2. Put s, 2, -3\/2 in decreasing order.\nAnswer: 2, s, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*h**2 - 7*h**6 - 2*h**2 + 14*h**6 wrt h?\nAnswer: 840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 66 + 259. What is the highest common factor of 200 and a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187056 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 437 + -442.14. What is m rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 67. Let r = -10 + 10. Is n(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -629 or -628?\nAnswer: -629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/50*190\/(-133)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sossswwwsssssuso. Give prob of picking 2 w and 2 o.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + r. Let i(q) = -3*q**3 - 6*q**2 - 6*q. Calculate -i(w) - 6*v(w).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53 - -93. Let u = -40 + p. Let b be 2\/(-3) + 50\/(-15). What is the third smallest value in b, -0.1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 6:13 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2489\/32 or 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 241 - 244. Let f(d) = -78*d**3 - 3*d**2 - 3*d - 32. Let q(u) = -78*u**3 - 4*u**2 - 4*u - 33. Let g(h) = z*q(h) + 4*f(h). Differentiate g(b) wrt b.\nAnswer: -234*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-14 + -11 - -2) + 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**4\/3 + 4*m**3 + 22*m**2\/3 + 4*m = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1738\/12 - 57\/(-342). Suppose 56 + 62 = 4*w - l, 25 = w + 2*l. What is the greatest common factor of w and d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 12)*((-96)\/60 - (2 + -3)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9872 or -2302?\nAnswer: 9872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/3 + 64*v + 1536.\nAnswer: 2*(v + 48)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 28 - 20. Let c(o) = 3*o + 24. Let p be c(0). What is the highest common factor of k and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1219\/(-69) + 17 + 20\/(-12)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*21*3\/9. Let c(w) = 4*w**2 - 7*w. Let d(u) be the second derivative of -u**4\/4 + u**3 + 584*u. Give x*d(v) + 6*c(v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -6. Let j(x) = x. Let n(s) = s**3 + s**2 + s. Let y(i) = 5*j(i) - n(i). Calculate the remainder when y(p) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363 is divided by 150 + (7 - (-400)\/(-25)).\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9125.31mm to nanometers.\nAnswer: 9125310000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269438 is divided by 67358?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b3246 (base 16) to base 9.\nAnswer: -7262588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/27966 and 85\/4?\nAnswer: 55932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4509*c**2*q**2 + 2*c**2*q - 637*c**2 + c*q**2 + 4935340*q**2 wrt c?\nAnswer: -9018*q**2 + 4*q - 1274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 11) to base 2.\nAnswer: 1111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39\/76 - -5\/19. Let q be (-2)\/(-3)*(-12)\/14. Sort 0.2, o, q in increasing order.\nAnswer: q, o, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101010001011 (base 2) to base 10\nAnswer: 2699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -22, -46, -74, -106, -142, -182?\n\"Answer: -2*b**2 - 18*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -60, -121, -206?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 425162409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 3*f**5\/20 + f**4\/2 + f**3\/2 - 14*f. Factor n(r).\nAnswer: 3*r*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/9 in 5, 6, 0.4, -2, -18?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j**3 - 5 + 5)*(1 + 3 - 6)*(-20 + 8 - 13)*(-j + 3*j - j) as v*j**3 + i + f*j**4 + q*j**2 + a*j and give f.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6304830 divided by -180138.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110011010 (base 2) to base 5.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/81*-3)\/(5\/(-75))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 550?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-24) - (-134)\/8) + -3. What is the highest common factor of z and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 36 + 16. Calculate the remainder when 38 is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-18)*(-2)\/((-2)\/(-12)*-4)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133772983.\nAnswer: 17, 7868999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 680 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -821 - 836 - 2*x + 4181 - 733.\nAnswer: -2*x + 1791","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 19a775?\nAnswer: 19a776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/15, -0.5, -2\/3, -1, 0?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*c + 121, 0 = -9*c + 14*c - 4*q + 109. Sort 94, c, -4 in decreasing order.\nAnswer: 94, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1287900 rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 569 a factor of 4963965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (21 - 52) + 6 - 1?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**15)\/(i**(-10)*i*i)*i*i\/((i\/(i*i\/(((i\/i**9)\/i*i)\/i)*i))\/i)*i**(-2\/39)*i assuming i is positive.\nAnswer: i**(1519\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 9:14 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 489, 1688, 4037, 7920, 13721, 21824, 32613?\nAnswer: 46472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 821670.5 days to nanoseconds.\nAnswer: 70992331200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8782690459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-40)\/24)\/(((-3150)\/36)\/(-35)))\/22.\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 - 26*a - 2 - 15 - 3 + 73.\nAnswer: -26*a + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1489613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34868 + 18248 + 4*h + 4*h**3 - 4*h + 16620.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.2 (b) -2 (c) 0.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79216814.0155862 - -79216845. Let d = x - -0.0161062. Let l = d - 31. What is l rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (43 - 43 - 20*v)*(1 - 3 + 5) in the form z + a*v and give a.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away -0.71?\nAnswer: 0.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -30 + 62 - 33 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 36 + 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c - 1. Let a be l(4). Let d = a - -7. List the prime factors of 120\/9 - d\/6.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 990, 3956, 8900, 15822, 24722?\n\"Answer: 989*x**2 - x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -4*a**4 + 324*a**3 - 2916*a**2 - 32164*a + 333960 = 0.\nAnswer: -10, 11, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*z + 172*z - 278*z - 1078.\nAnswer: -13*z - 1078","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 0*f + 3 - 2 + 6*f**2. What is the smallest common multiple of 2 and p(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0609 - -20894?\nAnswer: 20893.9391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -550 in decreasing order.\nAnswer: 1, -1, -550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = f + 31, -4*f + 55 - 11 = 5*a. Suppose -15 + a = -r. What is the remainder when 76 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28584726?\nAnswer: 2, 3, 4764121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 t when two letters picked without replacement from mimmewiwnmmwmmtwwmit.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/80)\/(((-44)\/(-260))\/11)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1270, -913, 90, 2063, 5330, 10215?\n\"Answer: 54*u**3 - u**2 - 18*u - 1305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**4 - 1895*v**3 + 172795*v**2 + 1280555*v + 2234940.\nAnswer: 5*(v - 193)**2*(v + 3)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (87*t + 169*t - 34*t)*(-1 - 4 + 4)*(0*t**3 + 4*t**3 - 3*t**3) as c*t**2 + v*t + x + l*t**4 + b*t**3 and give l.\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18) - sqrt(1152)*-1.\nAnswer: 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 - 46*j + 244. Let g be h(15). Solve -8\/3*w**2 + 0 - 10\/3*w**5 + 8\/3*w**g + 4*w**3 - 2\/3*w = 0 for w.\nAnswer: -1, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 148946868, 148946869, 148946870, 148946871, 148946872, 148946873?\n\"Answer: j + 148946867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -76*j - 1705. Let z(f) = 96*f + 1708. Determine 5*x(i) + 4*z(i).\nAnswer: 4*i - 1693","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -13?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 240 (base 9) to base 13\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94730, -94726, -94720, -94712, -94702?\nAnswer: -94690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 912 and 79458.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -462549054 and 0.5964.\nAnswer: -462549053.4036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -q, -k + 5*q + 0*q + 47 = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*t - 33 + 75 - 42.\nAnswer: -32*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 41775840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 27 = 5*p, -3*p + 51 = 9*r - 4*r. Suppose r = 4*l + 4. Suppose 0 = l*y - 11 - 23. Calculate the remainder when 65 is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 198 and 1782.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + z = 3*z - 14, -y - 5*z = -27. Let n be (-1 - (-65)\/75) + y\/6. Which is the nearest to 6? (a) 0.4 (b) -0.1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 18, 77, 172, 303?\n\"Answer: 18*w**2 + 5*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - (-2)\/(-4)*-10. Suppose c*r + 0 - 27 = 0. Factor 26\/7*a**r + 18\/7*a**5 + 40\/7*a**4 + 0 + 4\/7*a**2 + 0*a.\nAnswer: 2*a**2*(a + 1)**2*(9*a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 846741 and 178059.\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 13, f: 6}. What is prob of sequence fff?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -214, 1, -4, 2 in decreasing order.\nAnswer: 2, 1, -1, -4, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -102\/5 (b) 24 (c) 3.5 (d) -4 (e) -0.06 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12042 - 101?\nAnswer: -12143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1876\/(-536) - (-137)\/38. Which is the closest to -2? (a) -2 (b) 0.5 (c) -1 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4466534 is divided by 2233264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.257 rounded to zero decimal places?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-153)\/(-45) + (-4)\/10. Differentiate -1 - 8*y**x + 59*y - 59*y with respect to y.\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4282*1.8\nAnswer: -7707.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 330?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**2. Let o(a) = -2*a**2 - a - 1100492. Determine o(f(b)).\nAnswer: -18*b**4 + 3*b**2 - 1100492","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l**4\/2 + 34*l**3 - 153*l**2\/2 - 565*l - 100 = 0. What is l?\nAnswer: -5, -2\/11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.46 - -0.04. Let m be 4\/2 - (-3542)\/18. Let l = m + -199. What is the closest to 0 in 1\/3, l, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v + 3*v + 0*v. Let i = 69 - 67. Let u(g) = 23*g**i + 13*g**2 - 33*g**2. What is z(u(h))?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - (-7542)\/(-378) - 377\/(-21).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/360 and 103\/6?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 98885837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -54*q - 2. Let g(a) = 20*a**2 - 2*a - 19287. Calculate g(k(w)).\nAnswer: 58320*w**2 + 4428*w - 19203","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.7 + 3.7. Suppose 0 = -2*a, j + 3*a - 7 = -5. Suppose g + j*g = -g. What is the third smallest value in 3\/5, b, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -10*b - 5. Let c(z) = 5*z + 3. Give 5*c(n) + 3*f(n).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 11. Let g(r) = 4*r - 27. Let w(y) = -2*g(y) - 18*j(y). Let p(h) = 2*h. Calculate w(p(m)).\nAnswer: -16*m - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 40*g + 228. Let o be b(-5). Solve -4*k + u + 0*u - 2 = 0, o*u = -4*k + 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15318 and 1433680551?\nAnswer: 7659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49410198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 + 2455*a**2 - 4906*a.\nAnswer: -a*(a - 2453)*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/5)\/(2\/(-10)). Let c(g) = -8*g. Let m = 24 - 15. Calculate the remainder when c(x) is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -87778.9 to the nearest 1000.\nAnswer: -88000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -2. Suppose -7356 = 94*o - 383*o + 154*o - 1704*o. Solve -d = -6*b + o for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 447\/4? (a) 4 (b) -0.1 (c) -10 (d) 28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -912284 or -912283?\nAnswer: -912284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 122, 530, 1202, 2132, 3314, 4742, 6410?\n\"Answer: -y**3 + 138*y**2 + y - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 19*g**2 + 19*g + 19. Let x be l(-18). Suppose 0 = -5*z - 4*k + 41, -3*k - 3 - 5 = -4*z. Does 10 divide 36\/x - (z + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 957 and 131950522?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/183359 and 131\/200028.\nAnswer: 2200308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k. Let c(y) = 246 - 246 + 2*y**2. What is a(c(o))?\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - q - 28 = 0, -2*q + 2 = f - 8. Suppose 0 = -5*h - 2*g + f, -3*h + 15 = -g + 6*g. Is 3 + h + 65 - -3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/5))\/(k*k\/(((k**(-3)\/k)\/k)\/k)))\/(k**6*k*k*(k*k\/(k\/(k*k**7)))\/k)*((k**(-1\/6)\/k)\/(k\/k**0))**(6\/7) assuming k is positive.\nAnswer: k**(-856\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -1, -343, -508 in descending order.\nAnswer: -1, -3, -4, -343, -508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h = -4417 - 10583. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2938 + 94003\/32. Find the common denominator of y and -101\/88.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/8)\/(-1*(-21)\/(-3)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k - 3*k - 3*k + 3*k - 13.\nAnswer: -9*k - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34.60797 - 34.6. What is d rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**3 - 35*k + 14*k + 18*k + k**3.\nAnswer: -3*k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -9*j + 10*j. Suppose -18*q + j*q = -84. Calculate the lowest common multiple of q and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -1) + 1 + 3 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.6 - 0.8. What is h rounded to 1 dp?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**5\/60 - n**4\/24 + 19*n**3\/6 + 3*n**2. Suppose 3 = -5*w - 7, 4*i + 10 = -5*w. What are the prime factors of v(i)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2466738*b**2*u**4 - 5*b**2 - 8*b*u**4 - 953214*b + 1 wrt u.\nAnswer: 9866952*b**2*u**3 - 32*b*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 330 and 35?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-6)\/(-48)*8. Let a = -6 - -2. Put 3, 0, a, h in ascending order.\nAnswer: a, h, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 z when two letters picked without replacement from jzp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/11028294 and 52\/407.\nAnswer: 121311234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -6*b**2 + b. Let z = 407 - 361. Let g(d) = z*d - 24*d - 20*d. What is w(g(o))?\nAnswer: -24*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 14, u: 4}. Give prob of picking 1 u and 1 h.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 980.0121kg?\nAnswer: 980012100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5 + (-5812)\/(-4) - -3) + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - t - 2. Let w be s(-2). Let i = w + -2. Suppose -3*c + 6 = -0. Solve d = i*y - 7, c = d - 5*d - 5*y for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-40)\/(-44) - 1)*(-8 - (0 - 11)). Which is greater: p or 34\/11?\nAnswer: 34\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 6*a - 6. Solve a + 0 = g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 71*t**4 - 8*t**3 + 11*t - 112509?\nAnswer: 284*t**3 - 24*t**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 j when three letters picked without replacement from {j: 11, s: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**2 + 24*i + 32*i - 103*i + 29*i + 2 to r + q*i + j*i**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from meem. Give prob of sequence ee.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/sqrt(8)*4*1.\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8268039 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -5*k + 32 - 17, -10 = 5*v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*z**5 + 55222*z**4 + 930923*z**3 - 2074984*z**2 - 12924*z = 0. Calculate z.\nAnswer: -18, -1\/161, 0, 2, 359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m - 11. Let u be v(0). Let s(j) be the first derivative of j**2\/2 + 24*j - 11. What are the prime factors of s(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 385859948 to the nearest integer?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/16*-2 - (32130\/(-204))\/45?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.2*63184.\nAnswer: -139004.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.51 + -3.3. Let x = -0.11 + h. Let y = x - 3.1. Put -0.4, -2\/7, y in increasing order.\nAnswer: y, -0.4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 4*i - 1. Suppose 0 = 8*h - 3*h - 40. Let o be j(h). Is 6 a factor of o\/4 + (-4)\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13800926.3 to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00200683222 rounded to 4 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - f**2 - 2*f - 3. Let p be -4*((-10)\/4 - -3). Let w be l(p). Suppose w*r = 2*x - 72, x - 2*r = -4*x + 222. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -o**8\/14 + 13*o**4\/12 + 13*o + 4. Let v(i) be the first derivative of p(i). What is the third derivative of v(n) wrt n?\nAnswer: -480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*t - 8 = -97*t, 2*t = 4*n - 63856. What are the prime factors of n?\nAnswer: 3, 17, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42444 and 1572?\nAnswer: 42444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from outttotttoyooototot. Give prob of picking 3 y and 1 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/((-20)\/12) - 2. Let w(d) = -4*d**2 - 2 - q - 8 - 11*d. Let l(c) = -c**2 - 4*c - 4. Let f(o) = 11*l(o) - 4*w(o). Let n(s) = -s. Determine f(n(a)).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76 - 63. Suppose l*n = 3*n + 20. Solve 0 = -5*x + 3*z, 4*x - n*z + 0 = 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 10. Let o(m) = -19*m - 3. Let g(k) = -25*k - 1. Let f(c) = 3*g(c) - 4*o(c). Give 4*f(q) - 3*l(q).\nAnswer: q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -10*w. Suppose 5*x = -25, 3*m + 2*x = -2 - 5. Give t(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -570006*x - 138. Let b be q(-23). Round b to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25*b**2*j*s + 7*b**2*j + b**2*s + b*s + 160*b + 14*j*s wrt j.\nAnswer: -25*b**2*s + 7*b**2 + 14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3928 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 + 282746*q**2 - 848251*q - 1130996.\nAnswer: (q - 4)*(q + 1)*(q + 282749)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 j when two letters picked without replacement from jcqsquuucuq?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y = -4487 + 4467 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1078 + 0.0605. Let f = -327.0473 - x. Let a = 341.3 + f. What is a rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 117780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 629*g**2 - 2. Let j be m(-2). Suppose -5*h + 6*l + j = 2*l, 0 = 3*h + 4*l - 1534. Calculate the greatest common divisor of h and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 2*k = -5*j - 185, 3*k + 779*j - 778*j + 37 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 357123\/34 or 10504?\nAnswer: 357123\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -59 + 32 - (19 - 1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = r + 2*m, -2*r + 8 = -7*m + 3*m. Let v be -1*r\/(-2)*1. Let n be (v\/(-4))\/(4\/16). Sort n, 0, 3 in descending order.\nAnswer: 3, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 102, -5, -2, 916112 in descending order.\nAnswer: 916112, 102, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1558732671 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: What is the fourth biggest value in -0.5, 24, 0.4, -3\/4, 930?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 2*i - 28, -5 = 2*m - i + 2. Let s(b) = 6*b - 4 - b**2 + 2*b**2 + 6. Give s(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -55 (b) 0 (c) -0.5 (d) -186\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(42\/(-4)) + (-2140)\/(-963)*1008\/3000.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s - 22. Let q be h(-7). Find the third derivative of 28*z**2 + 93*z**2 - 25*z**6 - 9*z**q - 10*z**6 wrt z.\nAnswer: -5280*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-101)\/(-6868))\/((-2)\/(-32)).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -s**3\/5 + 33*s**2\/2 - 1210. Factor x(y).\nAnswer: -3*y*(y - 55)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*v + 35*v + 6 = 0. Solve -5*t = -v*t + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41190 divided by -6.\nAnswer: -6865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - d?\nAnswer: -f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -i**9\/5544 + i**8\/1540 - i**7\/1540 - 13*i**3\/3 + 45. Let x(f) be the third derivative of d(f). Find o such that x(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.6 - 7.5. What is the second biggest value in v, 5\/6, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/6*0)\/(-2). Suppose -8*l**2 + 2*l - 7*l**4 - 3*l**2 + l**3 + v*l + 15*l**3 = 0. What is l?\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from {k: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 4 (b) 1\/2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 + 75*y - 140. Let h(q) = -2*q**2 - 76*q + 141. Let u(b) = 2*h(b) + 3*j(b). What is the least common multiple of 10 and u(-39)?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/163 + -304\/1793. Is -1 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288))**2 + (sqrt(90)\/sqrt(5))**2 + 3)*4 + (-4 + sqrt(198)\/(sqrt(176)*-2 - sqrt(11)))**2.\nAnswer: 8*sqrt(2)\/3 + 11270\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 b when four letters picked without replacement from {b: 4, j: 6}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 56\/129 in -3, -5, 0.5, 1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149152902 divided by 1586733.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -557894 - 1.0721.\nAnswer: -557895.0721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 324 = -0*h - 5*h, h - 68 = 2*z. Let m be (h\/(-48))\/(4\/(-6)). Suppose 0 = 4*y - 0*k + 3*k - 23, 0 = -4*y + 4*k - 12. Solve j + m = -y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*p**2 - 113*p**2 - 23*p**3 - 15*p**2.\nAnswer: -23*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -339*o - 19168. Give w(-57).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(6 + -3) - 608\/(-6). Let j = r - 104. Let m = -4 - -5. What is the nearest to -2\/5 in m, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/9 - 6\/(-27). Suppose s = 6*g - 3*g. Suppose g = -5*h + 2*h + 42. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 873 times -2591?\nAnswer: -2261943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**4)**38\/(g\/g**(-17)*g**(-1)) assuming g is positive.\nAnswer: g**135","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 11:18 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -7640, 0, 1 in descending order.\nAnswer: 1, 0, -7640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**7\/105 - 4*n**6\/75 - 19*n**5\/50 - 7*n**4\/15 - n + 179. What is t in c(t) = 0?\nAnswer: -2, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 753399145.\nAnswer: -753399143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.38487ug in nanograms?\nAnswer: 8384.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 - -2.4. Let w = 42 - 208\/5. Sort t, 1\/7, w in increasing order.\nAnswer: 1\/7, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 29*j**2 - 2*j + 1. Let y be m(1). What is the tens digit of (-1062)\/(-14) + 4\/y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 673?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ouoroaoaorouroa. What is prob of picking 1 u, 1 o, and 1 a?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -82*z**3 + z**2 + 2440*z wrt z.\nAnswer: -492*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1136, -2275, -3414, -4553, -5692?\n\"Answer: -1139*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10894171, -10894170, -10894169?\n\"Answer: s - 10894172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 460966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 45648, 45728, 45806, 45882, 45956, 46028, 46098?\n\"Answer: -i**2 + 83*i + 45566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2237\/5 + 8877\/20. Let n be ((-35942)\/70)\/(14\/35). Let t = 1283 + n. Find the common denominator of c and t.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26914.\nAnswer: 2, 13457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/2729166 and -107\/132?\nAnswer: 5458332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 983136 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 12*n - 9. Let m be (2\/(-6))\/((-2)\/(-66)). Let d be z(m). Suppose 4*p - d - 14 = 0. Solve f - 6 = p*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29.39 + -3.\nAnswer: 26.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -206, 62 in decreasing order.\nAnswer: 62, -3, -4, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 73024293 and -290.\nAnswer: 73024003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 13091789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5282261 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2332, -4927, -7788, -10915, -14308, -17967, -21892?\n\"Answer: -133*j**2 - 2196*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432965408 is divided by 3321.\nAnswer: 3317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -5, 0, -2, 29, 2 in decreasing order.\nAnswer: 29, 2, 0, -2, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 100?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7015.\nAnswer: 5, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 2. Let z be k(0). Suppose 644*g + 63 = 651*g. Suppose 4*t + w = g*t - 5273, -z*t - 4*w + 2118 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1651 - 62831?\nAnswer: -61170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 - 3*f**3 + 3*f**3)*(1 - 2*f - 1) + 0*f**4 + 0*f**4 + 11*f**4 + (f**2 - 2*f**2 + 3*f**2)*(-1233*f + 1233*f - 71*f**2).\nAnswer: -129*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 44 - 52. Let r be (-2)\/u*14\/7. Sort 2\/19, 0.4, r in descending order.\nAnswer: r, 0.4, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/2 and 28222 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 11\/706, -1\/5, 174, 2 in decreasing order.\nAnswer: 174, 2, 0.5, 11\/706, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2) + -1 - sqrt(24)\/(sqrt(12) + sqrt(48)\/sqrt(4))) + -3)**2.\nAnswer: 20*sqrt(2) + 57\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from wsswswwwswsw.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hfffffhff. What is prob of picking 1 f and 2 h?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/845*13)\/(-2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/3 + 9857*f**2\/3 - 39416*f\/3 + 39412\/3.\nAnswer: -(f - 9853)*(f - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*t**5*z**2 + 939*t**5 + 222*t**2*z - 3*z**2 wrt t.\nAnswer: -1560*t**2*z**2 + 56340*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - 4*t**2 + t**2)*(5*t - 7*t + 1 + 5*t).\nAnswer: -6*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1851*c**3 - 54*c - 1140*c**3 + 124*c - 63*c as q*c**3 + y*c**2 + o*c + u and give q.\nAnswer: 711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of l**5\/60 + l**4\/24 - 5*l**3\/6 + 5*l**2. Let o be j(4). What is the greatest common divisor of 30 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 9:21 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (27260\/(-752))\/((-27)\/12 + 1). Solve g*o + 20 = 9*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 5*g - 8. Let q(m) = -m - 7. Give q(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) -7614 (b) -1\/7 (c) -0.1 (d) 9 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 332033440?\nAnswer: -332034000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 98265955 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 36.10842 hours?\nAnswer: 129990312000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/120)\/((-64)\/240)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -15*((-5)\/3 - -1). Let b(k) = -2*k + 2*k + k**2 + 2*k + 0*k - 3. Let a be b(-4). Calculate the greatest common factor of a and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + -30. Suppose -y + 5499 = -0*t + t, x*y - 10995 = -5*t. Round y to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -44*k + 2460. Let d be i(55). Solve -d = -10*v - 10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 62, 110, 158, 194, 206, 182, 110?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 131 - 388\/3. Let d = -13\/6 + o. Let v = -2 - -1.9. Which is the nearest to v? (a) d (b) 4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*l + l - 2*l)*(5 - 3 - 3)*(4*l - 4*l + l)*(-3 - 25 + 4) to the form n*l + p*l**2 + z and give p.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2197168 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -90 (c) 2\/9 (d) 0.1 (e) 5 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ub when two letters picked without replacement from babaacauavutub?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 332, 2426, 8060, 19004, 37028, 63902, 101396, 151280?\n\"Answer: 295*l**3 + 29*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 738.7, 3, 2439 in decreasing order.\nAnswer: 2439, 738.7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, a: 4, b: 2, s: 5}. Give prob of sequence pa.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4673*x - 23405. What is o(5)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2095302557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-191327)\/2*242\/(-11). Let z = -4972457 + f. Let x = z + 10867860. What is x rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3944 = 5*w - 6131. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**7)**44 assuming y is positive.\nAnswer: y**(-264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*u - 8 = 9, -5*u = -5*r + 10. Let a(g) = -3*g - 4. Let j be a(r). Solve j*s - 10 = d, -4*s - 7 = 4*d + 9 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 - 15. Let k = 18.00000054 - j. Round k to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h**2. Let z(g) be the second derivative of 26*g**3\/3 - 144*g. Give z(p(m)).\nAnswer: -208*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 101456*m**2 + 2*m + 76763?\nAnswer: 202912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(1\/21*(-330)\/(-55)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1218*h**4 - 2*h**3 + 577?\nAnswer: -4872*h**3 - 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 146119 * 1.6\nAnswer: 233790.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 5*r**2 - 3 - 2 - 64*r**3 - 4088*r + 4087*r + 3 in the form z + o*r**2 + q*r**3 + c*r and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -74*l - 1. Suppose 40*s - 47*s + 4564 = 0. Let d = -615 + s. Calculate the remainder when b(-2) is divided by d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - 113\/4. Which is the closest to l? (a) -3 (b) 0.5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f + 13. Let x be z(7). Let h(a) = 3*a**2 + 0 + 3*a**2 - 7 - a**3 + 6*a. What are the prime factors of h(x)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -2, 5, 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7459.\nAnswer: 7459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 2*v + 5 = 0, -5*v - 41 = 5*l - 81 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 144*d**3 + d - 206 wrt d?\nAnswer: 864*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-4))\/(1\/2). Let p be ((-4)\/(-20) - 1)\/((-4)\/10). Let q(d) = 4*d. Let u(y) = 5*y - 1. What is l*q(a) + p*u(a)?\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 76?\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 367 + -255. Let b = j + -55. What is the greatest common divisor of b and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7429 = -739*u + 1615 - 5271 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*b = 3*x, -4*x = -2*b - 16. Let i be 24\/(-6)*(-1)\/x. Determine w so that -w - 179 - 5*w + 175 - i*w**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -512\/5*c**5 - 26 - 32*c**4 - 1\/4*c**2 - 4*c**3 - c. Solve l(p) = 0 for p.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 13*w**2 + 23*w - 194. What are the prime factors of b(-12)?\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -2 (c) -0.023137\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**2 - 14*y = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -1799?\nAnswer: -359.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7514625670.\nAnswer: 2, 5, 53, 3229, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1676387*d**2*o**2 - 41167287*d**2 - d*o**2 wrt o?\nAnswer: -3352774*d**2*o - 2*d*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 20732 (b) 1\/4 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22176661 to the nearest integer?\nAnswer: 4709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(133)\/sqrt(7) + 1)**2 + (-1 + (sqrt(2736) + sqrt(2736)*1)**2 - sqrt(2736)).\nAnswer: -20*sqrt(19) + 10863","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 4*s - 4. Let p be 4*3*(-7)\/(-21). Give c(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4 = -14. Let n be -4*(-2 + 4)*7\/2. Let b be (0 - (5 + 0))*n\/70. Solve b*y - x = -0*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373343 is divided by 260?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1357830 by -8.\nAnswer: 678915\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 481 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - (-4 + (-4)\/(-2)). Suppose 0 = 2*f - c*l + 7 - 1, -f + 5*l = 19. Suppose 4 = i - f. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 10 + 20 = 0. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 9:45 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1028\/75 - -1\/25. Let d = -43 - -53. Suppose 0*f = o - f + 13, 0 = -o + 4*f - d. Which is smaller: o or q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-3))\/p)**(-33)\/((p**3\/p*p)\/p*p**(-2\/15)*p) assuming p is positive.\nAnswer: p**(-1528\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 1:57 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -9. Suppose -5*n + 25 = u, 3*n = -8*d + 3*d. Let a(f) = -f**3 + 8*f**2 - 8*f + 8. Let h be a(7). Put 2, d, h in descending order.\nAnswer: 2, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/138 and -28\/29.\nAnswer: 4002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.257 + 0.013. Let h = g - 0.13. Which is the third biggest value? (a) 1 (b) h (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 317*c**3*l**3 + 4*c**2*l**3 - 15*c**2*l wrt c.\nAnswer: 1902*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, 0.6, -3, 4\/3, 2\/17, -4 in decreasing order.\nAnswer: 4\/3, 0.6, 2\/17, -1, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -23*g + 14. Let f be q(1). Which is the third smallest value? (a) -0.3 (b) 5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7683?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3e28b3 (base 15) in base 9?\nAnswer: -5565156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(8\/5)*-2*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*m + 42 = 0, 14 + 1 = -3*m. Let f(x) = 2*x**2 - 11*x. Let z be f(8). Let s = z - j. What is the greatest common factor of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 + 35. Let z = q + 8. Suppose -z*a + 28 = -42. What is the highest common factor of a and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 6*n**3 - 4*n**2 - 6*n - 5. Let h be (-2*3)\/((-27)\/(-18)). Let x(g) = -5*g**3 + 3*g**2 + 5*g + 4. What is h*x(s) - 3*i(s)?\nAnswer: 2*s**3 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 136*s**2 - 8*s + 2051. Calculate the remainder when 3879 is divided by a(136).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2010*y**4 - 22 + 1007*y**4 - 4*y**2 + 1001*y**4 to the form m*y + q*y**3 + f*y**2 + x + p*y**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/70*((-222585)\/1704)\/(-209)?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -313 - -2815\/9. Let x = -7\/8 - -41\/56. Put x, g, -5 in descending order.\nAnswer: x, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*x - 10 + 10)*(2*x**4 - 4*x**4 - 2*x**4).\nAnswer: -40*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 544.8534m in millimeters?\nAnswer: 544853.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 14 = 16. Suppose -k + 13 = 2*d, -w*d = -3*k + d + 12. Let q(c) be the first derivative of -3*c**2\/2 + 5*c - 101. Give q(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 647 + 7413 = 806*r - 3224 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38\/11*m**2 - 36\/11*m + 0 - 2\/11*m**3.\nAnswer: -2*m*(m - 18)*(m - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127551061?\nAnswer: 11, 61, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(2) + 1*sqrt(2) + -4 + 4.\nAnswer: -2 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x = -72 + 522. What is z in -3*z**3 + 2*z**3 + 7*z + x - 42*z + 6*z**3 = 0?\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = -10*u, 0 = -3*f + 3*u. Let z be (-21)\/(147\/(-28)) + f + 1. Let o = 0.9 - 4.9. Put o, 0.4, 4, z in descending order.\nAnswer: z, 4, 0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + sqrt(70) + -2*sqrt(70)*3)\/(sqrt(30)\/sqrt(3)*3) - (-3 + -1*(-3 + (-2*sqrt(7))**2)).\nAnswer: -4*sqrt(7)\/3 + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of 0 + 5\/2*g**3 - 5*g + 17\/2*g**2. Differentiate d(a) with respect to a.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 60\/(-9)*90\/(-40). Solve 3*u - 5 = -2*b + 4, 4*b - 5*u + l = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 320*f**2. Let h(y) = 999*y. Determine r(h(v)).\nAnswer: 319360320*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 832\/39 - (-4)\/6. Suppose 0 = -4*m - 5*u + a, 0*m - 5*u - 34 = -3*m. Let y = -3 - -3. Solve -5*z + z - m = y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11918 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8352 + 17131. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - (2 - 1)) + (-52 - -5 - -53)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1181864137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48*h**4 - 504*h**3 - 243*h**2 - 30*h.\nAnswer: -3*h*(h + 10)*(4*h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -631, -2836, -6595, -11974, -19039?\n\"Answer: -11*u**3 - 711*u**2 + 5*u + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -31\/103?\nAnswer: -31\/103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32\/9*a - 1792\/3 + 112*a**2 - 18*a**3 - 1\/9*a**4 = 0.\nAnswer: -168, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1615251005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -502*w = -501*w + 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*p**5 + 10137*p**4 - 19701*p**3 + 7431*p**2 + 2328*p - 468 = 0.\nAnswer: -39, -2\/7, 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2396952772?\nAnswer: 2, 53, 11306381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*a = 56*a - 36. Let q be (-205)\/123*a\/(-15). Solve -2\/3 - q*k + 1\/3*k**3 + 2\/3*k**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3)\/v*v)**23\/(v*v\/v**(-1\/3)*v*v)**21 assuming v is positive.\nAnswer: v**(-160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4709?\nAnswer: 17, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from axmmammmzmmmvmammmmv. What is prob of sequence zxa?\nAnswer: 1\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(320) + (0 + sqrt(320))*-3.\nAnswer: -16*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**2 - 1 - 2*p**2 + 67*p**3 - 75*p**3 + (2*p**2 - 5*p**2 + p**2)*(-3*p - 78 + 78) + 2*p**2 - 2*p**2 - 2*p**3.\nAnswer: -4*p**3 + 2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**3\/7 + 19695*z**2\/7 + 178731*z + 19015425\/7 = 0. Calculate z.\nAnswer: -6501, -39, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7533?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -6*d**4 + 8545*d**3 - 185854*d**2 + 1078208*d - 1884512 = 0.\nAnswer: 4, 14, 8413\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*v + 133*v - 32 = -9*w, -14 = -2*w - 2*v - v for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131, -739, -1757, -3185, -5023, -7271, -9929?\nAnswer: -12997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, p: 4, t: 1, v: 6}. Give prob of sequence tv.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kf when two letters picked without replacement from {d: 2, u: 3, k: 4, w: 3, f: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 2)*(-63 + 515 + 695)*(-3*n - 8 + 8).\nAnswer: -10323*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {n: 1, l: 2, q: 7, t: 1, d: 4}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/7896 (b) 2 (c) -642\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -6481.63.\nAnswer: 6481.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -749*z + 7630 = -1839*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, -3, -113\/4, 19?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 2*j**5\/5 + j**4\/2 - 4*j**3\/3 - 206. Factor h(o).\nAnswer: 2*o**2*(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 181 and 1570.\nAnswer: 284170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 126 + 72 = 0. Suppose 11*t**3 + r - 2*t**3 - 27*t - 2*t**2 - t**3 - 5*t**3 = 0. Calculate t.\nAnswer: -3, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4088, 13069, 28038, 48995?\nAnswer: 75940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3857 and 58957.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of (20\/15)\/((-6)\/(-8649))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 12, -4*d = -5*s + 356 + 41. Does 19 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/42 + 74\/132. Let i = -61 + 53. Let v be (-8)\/(-6)*((-385)\/(-50) + i). What is the second smallest value in k, 0.4, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 22*g - 13. Determine x(-21).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4107*z - 395. Is g(-20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675324.9 nanograms in milligrams?\nAnswer: 0.6753249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 - 22. Let q = l + -6. Suppose q*o = 7*o + 66. What are the prime factors of o?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 5*o - 25 = 0, 4*x + 2*o + 5 = o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1581 - 6297\/4. Let k = -4\/323539 - -2383511957\/11647404. Let n = 825\/4 - k. What is the common denominator of n and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*a + 6 - 6)*(2 + 21288*a + 69*a**2 - 21288*a - 3) to f + b*a + z*a**3 + m*a**2 and give z.\nAnswer: -483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 - f - 6. What are the prime factors of r(-4)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 101001001?\nAnswer: 101001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -291 - -310.48. Let x = 20 - y. Let f = -0.5262 + x. What is f rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2444 and 2.\nAnswer: 2444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4135244*n + 4135263*n - 3 + 4.\nAnswer: 19*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274 + 3*z**2 - 151 - 159 - 159 - 156 + 899.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * -6.8373.\nAnswer: -75.2103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/28 + 0 + -1.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - v - 26 = 0, 5*j + 6 + 40 = 4*v. Let i be (2 - 26\/6)*j. Let h = 26 - i. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -3 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354 = -27*c + 651 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -85 and 563.\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 28 - 76 - 2*p + 32 + 59. Let j be y(16). Solve 5*r - t = -26, -6*r + 3*r = 4*t + j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 3.02. Let v = 0.045 + 0.075. Let r = v - j. What is the nearest to 0 in -1\/3, r, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -7 + 11 + 3120 + 6?\nAnswer: 2, 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - 917 + 935 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -352 + 352.12. Put 0.23, w, 0.5 in ascending order.\nAnswer: w, 0.23, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = 4*i - 42699*h + 42696*h, -4*i - 2*h = 74 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*m - 24*m + 1. Calculate the remainder when 134\/((-8)\/(-3 + m)) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5781443 is divided by 66453?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1477793137.\nAnswer: 61, 24226117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14, -12, -10?\n\"Answer: 2*n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 887.9 - 887. Let g = 1613\/2835 + 1\/405. Let x = -6 - -8. Sort g, d, x.\nAnswer: g, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m - 29. Let y be a(8). Let h(x) = x**2 + 3*x. Let p be h(-7). Let b = p + 12. Solve r + 5*v = 4*r + 40, 5*r - y*v + b = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -3*p - 1, -31 = 3*d + 2*d + 3*p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x**3 - 2*x**2 - 2*x - 3. Let j(h) = -h**2 - h - 1. Give -3*j(c) + m(c).\nAnswer: 4*c**3 + c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h = -2*h - 1008. List the prime factors of h.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*g + 2*g**2 + 7*g + (-5 + 1 + 1)*(-2*g - 3*g + 4*g)*((-2 + 4 + 0)*(0*g + 4*g - 2*g) + 5 - 5 - 2*g - 11 + 2*g + 11).\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 9:31 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 14) to base 10\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 228690 and 15?\nAnswer: 228690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110011101 (base 2) in base 6?\nAnswer: 10353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 + -42. Let t be ((-12)\/i)\/((-58)\/725). Suppose 4*g - 5*q - 135 = 0, -4*g + 2*q + 126 = -0*q. What is the greatest common factor of t and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/4)\/(((-54)\/(-4))\/(-3)). Let g = 54.92 + -55. Which is the closest to i? (a) 1\/2 (b) 0.3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7 - 0.76. Let w = 185 + -185.1. Which is the second biggest value? (a) w (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 840\/756*12\/85*(-38)\/(-8) and 1\/459?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**2 - 53*k + 32. Let j be t(17). Let m(w) = w**2 - 5*w - 1. Let q be m(4). Let p = -2.2 + 1.7. Sort j, q, p in ascending order.\nAnswer: q, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*a - 6 + 6)*(4 - 14 - 30) + 1 - 1 - 2*a + (0 - a + 0)*(-3 + 4 + 0) to w + v*a and give v.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 61.2 and -140176797?\nAnswer: 140176858.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1944915019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 + 85\/15 - (-105838)\/(-2760). Let v = b + 992\/23. Calculate the common denominator of v and (31\/4)\/((-38)\/12).\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(52\/(-20) + 3). Let y = 9 + 16. Let d = -11 + y. Solve 0 = -3*s - 2*f + x - 2, 4*s + f - d = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - 61\/(-2)*6. Suppose -3*o + o = -m. Let u = -18 + o. Is u a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 3*s - 47, -7*a = -3*a - 5*s + 35. Let v(l) = -2*l**2 - 22*l - 11. Let k be v(a). What is the greatest common factor of k and 369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 896.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -99 + 99 - 2*s + 8*s**5 - 10*s**2 + 10*s**4 - 6*s**3 = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*6*((1*sqrt(2299) - sqrt(2299))**2 + 4 + -5 + sqrt(2299) + 1 + (sqrt(2299) + -1)*-3 + 4).\nAnswer: -264*sqrt(19) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -550 + 195 = -71*i. Solve i*h + 8 = -12, -4*h = -5*r + 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -14 + 38, -4*r - 8 = 2*h + 1 + 27 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 less than 0.26?\nAnswer: -20.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 20249666.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*f - 61*f + 152. Suppose 26 = 16*d - 38. Solve -t + c + 2*c = -f, 4 = d*t - 5*c for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9245809, -18491614, -27737413, -36983200, -46228969?\n\"Answer: w**3 - 3*w**2 - 9245803*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z. Let h(x) be the second derivative of -5*x**3\/6 + x**2\/2 - 3*x. Let s(u) = -h(u) - 4*i(u). What is s(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -1) + 0 + -1 + (0 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 7623 = -2*f, 5552 = 2*f + m - 2075. Let v be (-30)\/4*(-7132)\/(-14). Let a = v + f. Calculate the common denominator of -107\/10 and a.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**11\/498960 + r**9\/30240 + r**8\/15120 + r**5\/15 - 3*r**2. Let z(f) be the third derivative of u(f). Factor z(b).\nAnswer: -2*b**2*(b - 2)*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4778?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1392 - 1828 = 460*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 60\/6 - 6\/(-2). Suppose -4*g + 3*g = 2*q - 11, 0 = 3*g + 2*q - p. Suppose h + 2*j - 71 = 0, j + g = 4. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*z**4 + 112371*z**3 + 8909857*z**2 wrt z.\nAnswer: 192*z + 674226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + 19. Calculate the lowest common multiple of 5 and v.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13297818 and 75195?\nAnswer: 1671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -130105.5338 rounded to the nearest one thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-288)\/1302 - (-6)\/(-93)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 + 93. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3 - 7*c + 0 - 4. Let s(r) = -2*r. Let n be s(-1). Determine d(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + q - 174 = 0, 5*q = 4*q - 2. Suppose 225 = -g*a + 59*a. What is the highest common divisor of 6 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 934*x - 221*x**2 + 936*x + 937*x - 2810*x to the form a*x + f + y*x**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-66)*(-1)\/2.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 799109409 to the nearest integer?\nAnswer: 928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.55033148 to 2 dps.\nAnswer: -14.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -161914, -647609, -1457092, -2590357, -4047398, -5828209, -7932784?\n\"Answer: s**3 - 161900*s**2 - 2*s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17 and -3970?\nAnswer: 67490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*o + 48 - 426 - 810 = 0 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 2.9. Let d = 0.3 - 0.35. Let m = -0.05 - d. What is the second smallest value in s, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 358730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*h - 5)*(20*h**2 - 20*h**2 + 5*h**4).\nAnswer: -10*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/69? (a) -2\/13 (b) -3 (c) -3\/5 (d) -2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 15 = -3*m - 3*f, -m = f + 3. Calculate the lowest common multiple of 8 and 4\/(-1 - 8\/m).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 6*m**2 - 4*m + 14. Suppose -2*y - j + 8 = 3*j, 0 = -2*y + 5*j + 26. Let s be a(y). What is s rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 595, 555, 445, 229, -129, -665, -1415?\n\"Answer: -6*m**3 + m**2 - m + 601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 + 17*u + 7. Let n be y(-11). Let q = n + -37. What is the remainder when q is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41448 and 528?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axzq when four letters picked without replacement from vqauvzxxqxquqqquqqq?\nAnswer: 3\/10336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -59156 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(3*x - 3 - 3 + 9).\nAnswer: -3*x - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6521 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 + (26 - 89) - (0 - 0 - -3 - 80)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 47?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2322\/172*16\/18)\/(0 + (-1)\/2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 6*q**2 - q - 7. Let c be n(-6). Is c greater than 1\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 3*w + 6, -4 - 6 = 3*u + 4*w. Let j(p) = u - 45*p + 214*p - 9. Is j(14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*a + 21. Suppose 4*y + a - 39 = 0. Suppose 0 = -3*m + y*m - 5. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/6 (b) 2\/53 (c) -0.1 (d) 2\/3563\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**3 - 16*u**2 + 16*u - 34. Let w be k(18). Suppose -w + 2002 = -26*f. What is the remainder when f is divided by 43?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(99) + 3 + (sqrt(11) + -2 + sqrt(11))**2.\nAnswer: -5*sqrt(11) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200151.\nAnswer: 3, 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - m + 563 = 2*p, -578 = -2*p + 2*m. What are the prime factors of p?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40*f - 18*f**2 - 3*f**3 + 2*f**3 + 74*f + 4*f**2 wrt f.\nAnswer: -6*f - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0062043 - 1.2542?\nAnswer: -1.2479957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/6 - (-70)\/(-4). Let m = r + 19. Suppose -18 = m*u - 46. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 3, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 11:38 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 210 = 4*d - 162, -465 = -5*d + 5*r. Is d a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358046105 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -6*k - 22. Let f be n(-9). What is the common denominator of (2\/1)\/(0 + 3\/f) and 31\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dssdksmdmsdsskdkkss. What is prob of picking 2 m?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*n + 93*n - 813*n**3.\nAnswer: -813*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 2\/5454681?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64914295, -64914296, -64914297, -64914298, -64914299, -64914300?\nAnswer: -64914301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003017 to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - 2. Let c = a + 12. Suppose 2*w = -c*w + 378. What is the remainder when w is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 4*r + 12, 3*x = -0*r + r - 16. Is x less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14508032 divided by 20608\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 91, 247, 547, 1039?\nAnswer: 1771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2*i + 2 + 2 - i.\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1891*s + 226*s - 203*s)*(1 - 1 - 2).\nAnswer: -3828*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -74.5200035737 - -74.52. Round f to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 25*c + 80. Let l be k(28). Suppose -3*i = -4*i. Let t(s) = -s**3 + 7*s**2 + 9*s - 3. Let d be t(8). Sort d, i, l in decreasing order.\nAnswer: d, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77987.\nAnswer: 7, 13, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -6*w - 2. Let n be y(2). Let g(b) = 725*b**2 - 53*b + 44. Let i(t) = -272*t**2 + 18*t - 18. Let f(x) = 3*g(x) + 8*i(x). Give f(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10202 (base 3) in base 14?\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**4*t - 260663*m**3*t - m**2*t - m*t + t + 1783 wrt m.\nAnswer: 48*m*t - 1563978*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 522 and 36225.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/7)\/(k\/k**(2\/13))*k**(-28)\/k**9)**(-2\/13) assuming k is positive.\nAnswer: k**(6810\/1183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*p - 17*p - 14*p + 4 - 24*p + 71*p.\nAnswer: 2*p + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - 0 - (-3 - 28). Suppose z + 4*k - b = -k, 30 = 5*z - k. What is the smallest common multiple of 19 and z?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and -26.87122109.\nAnswer: -25.87122109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -15\/8*w**4 + 0 + 1\/20*w**5 + 0*w + 13*w**3 - 112*w**2. Factor v(q).\nAnswer: 3*(q - 13)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11830486?\nAnswer: 2, 359, 16477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/5)\/((g\/(g\/(g**(2\/3)*g*g)*g))\/g*g))**18\/((g**0)**(2\/9)\/((g*g\/g**(-6))\/(g**(1\/2)\/g))) assuming g is positive.\nAnswer: g**(-143\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -283, -694, -1223, -1858, -2587, -3398?\nAnswer: -4279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/21*((-10)\/(-5) - 7)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of b**6\/540 + b**5\/90 + b**3\/2 - 3*b**2. Let k(c) be the first derivative of y(c). Solve k(t) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - 8) + (-5 - -26) + -14 - 72.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (204 - -32) + -119 - 169.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*b - 395. Let y = b - 157. Calculate the greatest common divisor of 112 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-9))\/((-8)\/1092*13)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 49*w - 78. Let o be i(41). Let y = -122 - o. Is 17 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124205 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 314*a - 622. Let i be p(2). Let k(u) be the second derivative of u**5\/20 - u**4\/6 - 5*u**3\/3 + 9*u**2\/2 + u. What is the tens digit of k(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1438981 to the power of 1\/2, to the nearest integer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4302 - -7683. What are the prime factors of s?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1772*f**2 - 25 + 1714*f**2 + 20 + 35*f**3.\nAnswer: 35*f**3 - 58*f**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -w**7\/105 + w**6\/60 + w**5\/30 - w**4\/12 - w**2 - 3*w. Let m(n) be the first derivative of y(n). Factor m(u).\nAnswer: -2*u*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 400 and 24400?\nAnswer: 24400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2615, -5230, -7833, -10418, -12979?\n\"Answer: l**3 - 2622*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 210265.\nAnswer: 210260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 126 = -42. Is ((-327)\/4)\/(j\/(-16)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0535773 + 0.0536. What is n rounded to 6 decimal places?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1089163485.\nAnswer: 3, 5, 24203633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6, -3, -24, -63, -126, -219, -348?\n\"Answer: -k**3 - 2*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 5*r + 30, -56 = -r + 5*r + 4*l for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33163*z**3 - 5575*z**2 - 66318*z**3 + 33154*z**3 to the form h*z + k*z**2 + v + y*z**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y**(-1\/2)\/y*y))**(-2\/33)\/(y\/((y\/(y\/(y**(-2)\/y)))\/y))**(22\/7) assuming y is positive.\nAnswer: y**(-3665\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ydnvcvnvyntvnvyyn. What is prob of sequence vv?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -l**5\/20 - l**4\/4 - 5*l**3\/6 + 2*l**2 - 5*l. Let w be g(-4). Suppose w + 30 = 5*d. Solve 2 - d = 3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44030321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 5*a + a + 5 + a**2. Let s be -13 - -4 - (-2 - -2). Let y(t) = -t**3 - 9*t**2 + t + 13. Let j be y(s). Calculate m(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -8*j**3 - 3*j**2 - 3*j. Let y be u(-3). Let s = 7580 - 7585. Which is the second biggest value? (a) y (b) s (c) 5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253*k + 298*k - 7 + 283*k - 776*k.\nAnswer: 58*k - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 4 (c) 1\/489\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 w when three letters picked without replacement from lwwhwwlhhwww.\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -372, 14, -37 in descending order.\nAnswer: 14, -37, -372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 15) in base 5?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6283, -6, 6, 4, -3, 5.\nAnswer: -6, -3, 4, 5, 6, 6283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*f + 19*f - 7*f as l*f + m and give l.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -v**4\/24 + v**3\/3 - 42424*v**2. Suppose 10 = -3*o + 5*o. Calculate j(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 1, 12, -5\/1877?\nAnswer: -5\/1877","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3810 (b) -30 (c) -6 (d) -8 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 132, -4, -11, 5, 3 in decreasing order.\nAnswer: 132, 5, 3, -2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/32538 and -117\/4930.\nAnswer: 162690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: dd4f (base 16) to base 11\nAnswer: 39625","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 48*v**2 + 57*v - 367. Give g(49).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 5:12 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-2 - -1 - (-3 + 3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -4 + 1 + 4 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-37)\/6 - (-2)\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 389296 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 9*i + 4*z - 4332, -4*i + 4*z + 3480 = 0. What is the remainder when i is divided by 79?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 8 = 28. Calculate the smallest common multiple of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 126 + -70. Suppose 2*v + 3*f - 5 = 31, 4*v - 2*f = q. Suppose v = 2*b + t, -3*b + 3*t + 24 = 4*t. Solve -y - 5 = -2*g, y - 3*g + 1 = -b for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - 0. What are the prime factors of y\/(-8)*40\/6?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -747*p + 907*p + 4160 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9525108 weeks to microseconds.\nAnswer: 576078531840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 228 + -673. Let k be o\/(-120) + (-2)\/(-3) + -4. Let t = -58\/95 + 1\/95. Sort k, t, 1 in descending order.\nAnswer: 1, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1032213 - -3?\nAnswer: -1032210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a*a*a**(2\/5)*a*a*a*a**(-4\/9)\/a)\/(a**(-3\/8))**(1\/17))**(-27) assuming a is positive.\nAnswer: a**(-109749\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.018 - 0.248. Let r = -24.23 - u. Let c = r - -19. What is the closest to -0.1 in c, 2\/7, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/110 and 49\/5257776.\nAnswer: 289177680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8306412?\nAnswer: 2, 3, 29, 23869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 + 121 = 5*a. What is the third derivative of -7*z**a - 6316 - 2*z**4 + 27*z**3 + 6316 wrt z?\nAnswer: -48*z + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -827014267*l - 133793043?\nAnswer: -827014267","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-42)\/(-4))\/(-4 - (-301)\/70).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*g - 199 + 156 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -6. Suppose -c*o - 12 = -w + 5*w, 2*w + 14 = o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/67, 0.2, -2\/3, -2\/9, 89, 0.1 in increasing order.\nAnswer: -2\/3, -2\/9, 2\/67, 0.1, 0.2, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t**3 - 9*t**2 - 11*t + 9. Let j be a(3). Solve 0*z = z + q + j, -2*q = 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(-18))\/11*2\/2\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 168912 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/2222 and -47\/11.\nAnswer: 2222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -165\/472573?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, -406, -932, -1668?\nAnswer: -2614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -7*n**3 - 72*n**2 + 1651*n + 17917. Calculate p(-11).\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + -12 + -26 + 12 - -15.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -122, -184, -246, -308, -370?\nAnswer: -432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156 and 11622.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3624*p + 90*p**2 + 3779*p - 7403*p + 520*p**2.\nAnswer: 610*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 10752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -953\/2191 - -2\/313. Let o = 1522 - 1521.81. What is the third biggest value in -3\/2, o, n, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, z: 2, x: 4, b: 3}. Give prob of sequence zbzx.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) - (sqrt(325) + -1)) + 5 + ((sqrt(65)\/(sqrt(5)*-2 + sqrt(5)) - sqrt(13))*-3)**2.\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 46*m - 117. Calculate k(19).\nAnswer: 757","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*y**2 - 14\/3*y + 0.\nAnswer: y*(y - 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**5)**48*y**(2\/7)\/y**0 assuming y is positive.\nAnswer: y**(1682\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 31 = -17. Let r be 58 + j*2\/(-4). What is the greatest common divisor of 10 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*k - 12. Solve -2*j - q - 8 - 4 = 0, -k*j - q - 22 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 48*p = -47*p + 9, 0 = 2*n + 4*p - 36 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 818 - 450. Suppose -3600 = -3*l + 3*d, z - 1568 = -l - 3*d. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**3 + o**2 + 6007 + 4*o - 3*o**3 - 6012 + 6*o**3 as x*o + d + s*o**2 + b*o**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/205 and -49\/25?\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = -3*u - 60. Let a be 2\/6 - (-1028)\/u. Suppose 3*j = 263 - a. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 474.05272*-0.4\nAnswer: -189.621088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 59, 84, 131, 206, 315, 464, 659?\nAnswer: 906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeleeel. What is prob of sequence elel?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**2 + 3*o**2 + o**4 + (-2*o**3 + 0*o**3 + 0*o**3)*(-4*o - 2*o - 2*o).\nAnswer: 17*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*h**4 - 93*h**3 + 36*h**2.\nAnswer: 3*h**2*(h - 4)*(7*h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3*q - 37737, -3*n - 24*q + 22639 = -23*q. What are the prime factors of n?\nAnswer: 3, 5, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1599993 - 1691192176\/1057. Let r = j - -4\/151. Which is the third smallest value? (a) r (b) 1 (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c - 7*c**2 - 7*c**2 - 49*c**2.\nAnswer: -63*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28814653 greater than 28814654?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -294.8, -59.5, -0.2 in ascending order.\nAnswer: -294.8, -59.5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 9*k**2 - 11*k + 12. Let n be r(10). Solve -n*l - 14 = p, -3*p + 4 = 5*l + 41 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 88.\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 93841 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: Simplify (sqrt(270)\/sqrt(10))\/sqrt(9) + -5.\nAnswer: -5 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1256814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1208 and 151.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a**2 - a**3 - a + 1 + 6 - 3*a**3 + 5*a**3. Let s be d(5). Is 12*(s - (-3)\/(-3)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 - 0.2. Let m be ((-14)\/(-49))\/((-3)\/7). Which is the closest to z? (a) -1\/7 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/338405 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -468400 to the nearest 10000.\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4210238, 8420479, 12630720, 16840961, 21051202?\n\"Answer: 4210241*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 767*i - 36766. Calculate t(46).\nAnswer: -1484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a**2*v + 16*a**2 - 50*a + 236801*v + 2 wrt a?\nAnswer: 4*a*v + 32*a - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4478*o + 929*o + 2122*o + 4453*o + 4719*o.\nAnswer: 16701*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r. Let t = 2 + 16. Suppose -q + 4*q - t = 0. Let m(s) = 6*s - 5*s**2 - q*s. Give m(n(b)).\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -4. Suppose 2*j = 3*g + 5, 2*j - 2 + 0 = 4*g. Suppose u = 3*b + j - 13. Solve -b*d = -5*t - 7, d + 11 = -t - d for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45242550517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*h + 107*h = -2130. Let i = -700 - h. Solve -i*d + 24 + 6 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1576 - 20482\/13. Factor -4\/13*m**2 + x*m + 0 - 2\/13*m**3.\nAnswer: -2*m*(m - 1)*(m + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/10)\/(8\/3*3)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 9 = -u - 2*u, -4*u - 3*n = -29. Suppose 0 = -u*q + 4*q - 3. Is (q - -11) + 1 + -2 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3451 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*t = -91*t + 60076. What are the prime factors of t?\nAnswer: 2, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1095\/8 (b) 1\/2 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 3*i + 18 = 0, -7*r + 4*r + i = -8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 13 + 1)*(0*d**5 + 0*d**5 - 3*d**5).\nAnswer: 39*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 210\/13 or 300?\nAnswer: 300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -53, -59, -69, -83?\n\"Answer: -2*k**2 - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103 (base 5) to base 7.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 500815, 3, -5, 1.\nAnswer: -11, -5, 1, 3, 500815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1123404 (base 6) to base 14.\nAnswer: -17100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 7*h. Let z be k(-6). Let t = 0 + 0. Suppose t = -z*g + 9*g - 1371. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3901*t - 123977. Calculate c(-32).\nAnswer: 855","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40503 by -15603.\nAnswer: -13501\/5201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 16*p - 154 = 0 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1182.886 litres?\nAnswer: 1182886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227 + 224 - 451 - 4*y - 7*y.\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of 0 + 110*t**2 - 18*t**3 + 0*t + 71\/60*t**5 + 0*t**4. Find the first derivative of c(s) wrt s.\nAnswer: 142*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/9 - (-490)\/(-42). Calculate the common denominator of (0 - (-669)\/(-189)) + m\/(-4) and 73\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9, -6, 13, 54, 123, 226, 369, 558?\n\"Answer: x**3 + 2*x**2 - 10*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1063 + 1069. Let p = 991105\/126 + -7866. Let w = p - 1\/18. Put s, w, 2 in descending order.\nAnswer: s, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 71, 80, 101, 140, 203, 296, 425?\nAnswer: 596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -4 - (-7 + 6)) + -7\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.8 times 0.1?\nAnswer: 0.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 33\/5 of a millennium?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1680416 and 44064?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(29\/2)*(v*v\/(v**(-25)*v))\/v*(v*v**1)\/(v\/v**(2\/3)) assuming v is positive.\nAnswer: v**(247\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 > -61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 164005?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*((-1)\/4 - (-12)\/16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 26839991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9129547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l - 16*l - 3*l)*(-11 + 3 + 7 - 2 + 5 - 2 + (3 - 3 + 1)*(-1 + 0 - 1) + 1 + 1 - 3 - 3 + 2 + 0) in the form u*l + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-6)\/(k\/((k*k**6)\/k)*k))\/(k**(-3\/10)\/((k*k*k\/(k**(-2)*k*k))\/k)))**(3\/4) assuming k is positive.\nAnswer: k**(9\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 448\/256 + (-17)\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10946362 rounded to the nearest 100000?\nAnswer: 10900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -2. Let f = -16 + 13. Let z = f + y. What is the lowest common multiple of z and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 3:10 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 8934.6.\nAnswer: -3573.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 8*p**2 - 11*p + 6. Let m be h(-3). Let c(f) = f**2 + 7*f - 5. Give c(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111918*h + 8007 = 111761*h for h.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 33. Let t be x(14). Solve 2*p - 5*w = t, 5*p = w - 4*w + 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c - 844b85?\nAnswer: -844b56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 113 + -94. Let t = s + 152. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134703, 269410, 404117, 538824, 673531?\nAnswer: 808238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*h**2 - 12*h**2 - 3*h + 3*h.\nAnswer: 29*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.84 + 0.83338?\nAnswer: 54.67338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 335987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*2.8.\nAnswer: 1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86825188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1136)\/1988*49\/(-168).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 314687.432 - -0.1.\nAnswer: 314687.532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 11. Solve 3*a - o = 5*t - a, 0 = 2*t + 3*a + 13 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1.6 (b) 13\/12 (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 98077 + 28131.\nAnswer: 126208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/7)\/f*f**(-11\/3))\/((f*f**(-7))\/f)**4 assuming f is positive.\nAnswer: f**(496\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -910 - -924. Suppose -3*b + 5*z = -31, -3*b - 15 = 3*z - 6. Suppose b*o + 3*o - 270 = 0. Calculate the remainder when o is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - -2 - 2 - -6. Suppose -3*y - 5*r + 13 + 93 = 0, -o = -3*r. Does 11 divide (-4)\/2 + -1 + y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 k when two letters picked without replacement from {i: 7, k: 4, s: 2}?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -m**4\/12 - m**3\/2 + 2*m + 2. Let p(z) be the first derivative of y(z). What is the second derivative of p(u) wrt u?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -240 + 207. Let v = p - -33.07. What is the nearest to -0.2 in v, 0, -4, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11456 (base 14) to base 3\nAnswer: -2010122022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 25.64*2141.01\nAnswer: 54895.4964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d (base 16) in base 10?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(3)*1)**2 - sqrt(3)))*-6.\nAnswer: -24 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 130 = -2*t. Suppose -4*j + l + t = 0, 3*j - 29 = j - 3*l. What is the remainder when j is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*l + 21 = 0. Let n be l + 0 - (0 - 0). Let s = n + 10. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3*j**4)*(33 - 33 + 12*j) + j**5 + 2*j**5 - j**5 + (j**3 + 0*j**3 + j**3)*(-3*j**2 + 2*j**2 + 0*j**2).\nAnswer: 36*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.92 + -0.17. Round c to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - r = -3387, 42*b - 43*b + 2*r + 849 = 0. What is the hundreds digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 531050906 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: Suppose 0 = w + 5, -w + 24 = b - 31. What is the lowest common multiple of 18 and ((-2)\/(-5))\/(((-6)\/b)\/(-1))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -4*h - 15. Find the third derivative of -3*n**2 - 17 + 2*n**2 + 17 - 3*n**h wrt n.\nAnswer: -180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65859 is divided by 13162?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0185 + 359.0185. Is g bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -0.4 (c) 1\/2 (d) -57 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 50 from -174827.\nAnswer: -174877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1408708679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -3484.6, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6.940885 and 0.032?\nAnswer: 6.908885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12279259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66*x**3 + 61*x**3 - 202*x**3)*(5 - 2 - 5).\nAnswer: 150*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9\/(-15))\/((-252)\/1995) - 4)*-2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 709*f**2*y**3 + 16*f*y**3 - 2*y**3 - 19 wrt f?\nAnswer: 1418*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(1\/2))\/(i\/(i**(6\/5)\/i)*i))\/(i\/(i*i**(-18)*i)*(i**15*i*i)\/i))**(-12) assuming i is positive.\nAnswer: i**(1998\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/15 + (-387)\/(-570). Let x = l - 167\/190. Let f = 0.1 + 0.2. Which is the third biggest value? (a) x (b) 0 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.16 - -5.84. Let y = -64 + 58.2. Let i = y + z. Which is greater: i or 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 416111949 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -22954 and 18.\nAnswer: -22936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + b - 5*b)*(0*b + 2*b + 0*b + 34 - 34 + 13*b + (-5*b + 3*b + 0*b)*(-3 + 2 + 2) - 2*b + 4 - 4 + 5 + 2*b - 5).\nAnswer: -52*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -53 + 47 - (0 - -2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmk when three letters picked without replacement from {k: 1, u: 9, z: 5, m: 5}?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hthtihllll. Give prob of picking 2 t.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8710 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*z = 2*t - 98*z - 114, t + 143 = -7*z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 121740209*j*x**4 + 4*j*x**2 + 1719*j*x + 24*j + 15*x**2 wrt x.\nAnswer: 2921765016*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.16 + 0.03. Let b = 0.01 - t. Let x = b + -0.14. Which is bigger: 1\/3 or x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = k + 255. Let l = 257\/5 + k. Solve -6\/5*s - 4\/5 - l*s**2 = 0 for s.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vzz when three letters picked without replacement from vzzzzvzzzzzvzv?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 245, 382, 595, 872, 1201, 1570?\nAnswer: 1967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52*i**4*m**3 + 35260*i**2*m + 34*i + 2946*m**3 + m wrt i.\nAnswer: 624*i**2*m**3 + 70520*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/8*(-2)\/10. Let i = 2 + -3. What is the third biggest value in i, y, -2\/11?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.003 - -14.597. Let b = x - 13.11. Round b to one decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107594?\nAnswer: 2, 23, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0329 times 2?\nAnswer: -0.0658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 r, and 1 d when four letters picked without replacement from {r: 1, o: 2, d: 2, p: 2, x: 2, t: 7}.\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 2*z + 4 = 0, 129*o - 126*o - 16*z + 20 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zvr when three letters picked without replacement from vwnvwrzgn?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2056820, 219\/4, -5?\nAnswer: 2056820","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 20*s + 923. What is z(-35)?\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -134420344430 - -4?\nAnswer: -134420344421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p. Suppose 2*r - 2 = 0, 5*u - 3*u + 3*r - 13 = 0. Suppose -3*k = -u - 7. Let d(h) = -3*h - k*h + 13*h. Give d(n(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.16 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 221*h**3\/3 + 5*h**2\/2 - 4*h + 7. Let i be w(3). Round i to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 - 0.5. Let k = -1014 - -4427\/5. Let y = k - -129. Sort y, 1, b in increasing order.\nAnswer: b, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/4055254 and -25\/579322.\nAnswer: 4055254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -5 + 0*z - z + 0 + 2*z. Let f be y(9). Suppose -2 + 10 = f*g. Solve g*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*46\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 277\/2 - 139. Which is smaller: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127073.\nAnswer: 83, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 318 divided by -310.\nAnswer: -159\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsvsvssvszsvvvsz. What is prob of sequence vz?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kiik when four letters picked without replacement from ikkiikbk?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2780 is divided by 34.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 777075800 rounded to the nearest 1000000?\nAnswer: 777000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0) + (38\/100)\/((-1)\/(-5)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -101 + 100. Let f be ((-60)\/(-25))\/(6\/(-15)). Sort 2, y, f in descending order.\nAnswer: 2, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4871*o + 629*o - 3093*o + 1970*o - 4224*o to the form f + a*o and give a.\nAnswer: -9589","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 13*w**2 - 21*w + 17. Let k be l(-11). Solve 0 = -k*z + 3*z + 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*q + 15, 2*c - q + 17 = 1. Let g = c - -36. Suppose o + 5*u - g = 0, 4*u - 36 + 2 = -2*o. Calculate the remainder when o is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 608602\/(-92976) + 1 + 0. Let z = k + 8\/1937. Let j = -825461\/30 - -27520. Find the common denominator of z and j.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -37*t**5\/20 - t**4\/6 + t**3\/2 - t**2 - 3*t + 17. Calculate o(1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 444 a factor of 206327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -1 (c) 2\/187 (d) 58817\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 24, 114, 330, 726, 1356?\n\"Answer: 9*x**3 + 9*x**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -548*b**3 - 25 + 549*b**3 - 3*b**2 + 3*b**2 to i + a*b**3 + n*b**2 + w*b and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b + 51. Let s(o) = o + 102. Let n(m) = -4*s(m) + 9*t(m). What is the units digit of n(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*b + 405 + 209, -4*b - 4*c = -596. Which is bigger: 158 or b?\nAnswer: 158","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4974 - 2728. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 3, m: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 3*k. Let j be g(-4). Let x be j\/(-6) - 38\/3. What is the units digit of (x - -6)\/(2\/(-2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2459381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1052998 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 0)*(-5 + 5 - o**4) - 1661*o**3 + 1661*o**3 + 20*o**4 as g + k*o**4 + x*o + w*o**2 + f*o**3 and give k.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 137, 4, -3, 1\/75?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*o - 94*o - 49*o - 13 + 62*o - 20 + 38*o.\nAnswer: -3*o - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -455 = -6*v - 509 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 7*c**2 - 9*c - 1. Let q be v(7). Let p = q + 83. Suppose 24*d - p*d = 20. Solve 0 = -o + d*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 2*o**2 + 4)*(-13 - 11 - 6) - o**2 - o**2 + 3*o**2.\nAnswer: -59*o**2 + 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 8527 and 8542 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**9\/v)**(-18) assuming v is positive.\nAnswer: v**(-144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 40, -7\/8, -0.05?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2465811*m**3 - 10150157*m**3 - 9904585*m**3.\nAnswer: -22520553*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 25082*v - 25087*v - r, -7 = 5*v + 4*r for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9726716 divided by -2.\nAnswer: 4863358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*a**2 + 2\/3*a - 8.\nAnswer: 2*(a - 3)*(a + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 61*s**2. Let v(p) = -2*p + 28. What is t(v(d))?\nAnswer: 244*d**2 - 6832*d + 47824","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-77)\/(693\/(-54))*(3\/1)\/78?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-1*(2 - 1)) - 79. What is the common denominator of -49\/3 and 178\/(-20) + (u\/25)\/8?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cjs when three letters picked without replacement from ijxcxsjijxx?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.626698mm in micrometers?\nAnswer: 2626.698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 1689*c + 6715. Give n(-4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65*s**2 - 72*s**2 + 159*s**2)*(1 - 1 + 2).\nAnswer: 44*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 2*x - 4*r - 3, 0 = -3*x - 4*r + 17 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.3 + -319.\nAnswer: -315.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 294 divided by -6?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/93 + 295\/744. Let k = 31272\/169697 + -38\/15427. What is the second smallest value in k, -0.087, n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence df when two letters picked without replacement from nykkpnyfndyn.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-2)*2\/(-6). Suppose -l = -11 + t. Calculate the remainder when 27 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14 or 6904\/509?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14.7 - 15. Which is the second smallest value? (a) v (b) 0.4 (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 41 = 6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12345558 divided by -14.\nAnswer: 6172779\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 1. Let g(b) = -2*b - 3. What is -g(m) + 4*k(m)?\nAnswer: 2*m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2482 and 340.\nAnswer: 24820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000478514994 rounded to 6 decimal places?\nAnswer: -0.000479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6 + 2 = 0. Let m be q\/4*1*-310. Let w = m - -641. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -2*i - 5*n + 309, 4*i = -3*n + 611. Is i a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/12432844 and 1\/144.\nAnswer: 447582384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -2254 and 1821.07 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -362*g**4*h - 341016*g**4 - 501*g**2*h + 2*g*h - 31332*h wrt g.\nAnswer: -8688*g*h - 8184384*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - -240 - 10 - (-6 - (-5)\/1). Calculate the greatest common factor of 185 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*v**5 - 3*v + 10*v**5 - v wrt v?\nAnswer: 60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 140131430011 - 2?\nAnswer: 140131430004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 800109 and 4622852.\nAnswer: 41605668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 769 - 203. List the prime factors of x.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1703 minus 0?\nAnswer: 1703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 208, 416, 624, 832?\n\"Answer: 208*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -799*f + 85*f - 74*f**2 + 110*f**2 - 93*f**2 + 6*f**4 wrt f?\nAnswer: 72*f**2 - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77184931?\nAnswer: 1231, 62701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*o + 5. Suppose 0 = 4*k - 93 + 29. What is the lowest common multiple of k and 6 + 2*o - -2?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2. Let s(n) be the second derivative of n**5\/15 - 7*n**2\/2 - 12*n. Let l(j) be the first derivative of s(j). What is g(l(u))?\nAnswer: 32*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 0*k + 1 - 2 - 1 + k + 5*k. Determine m(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/9)\/((-273)\/(-351)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -3*q**4 + 9*q**3 + 6*q**2 - 36*q + 24 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/((-4)\/(16\/4)). Determine m so that n*m**2 + 7*m - 5*m**2 + 3*m = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*f**2 - 1197 - 1171 + 2368.\nAnswer: 31*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-150)\/45)\/((-20)\/(-90))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y**3 - 2 + 103\/2*y**2 - 50*y = 0.\nAnswer: -1\/26, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*h = 76*h - 14022. Let z = 1625 + h. Does 44 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = -14*r - 2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2. Let n be x(0). Suppose 3*k + 10 - 4 = n. Let i be 0 + k + -3 + 15. Solve 0 = 5*p + u + i, 0*p + p - u + 8 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.7945 times -0.5?\nAnswer: 22.39725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2, 4, 0.5, 213743, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*r = -28, 0 = -g + 6*g + 2*r + 42. Let o = g + 8. Is 1 at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283*r - 277*r - 286*r + 1414*r - 282*r - 285*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/171 and 101\/114.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*u**5 - 3496*u**4 + 7187*u**2 - 14349309*u + 3.\nAnswer: -60*u**3 - 41952*u**2 + 14374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -133 (base 5) to base 12\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**2 - 11*m + 17. Let c be b(2). Suppose d = 5*p - 810, -5*p + c*p + d - 331 = 0. 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 common denominator of -79\/432399 and 25\/419296.\nAnswer: 13836768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1452 and 220.\nAnswer: 7260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -3. Suppose 5*c - 534 = -4*l + m*l, 3*c - 326 = 2*l. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 738224\/12555 - -2\/2511. Let u = 59 - x. Sort u, -2\/7, 2 in increasing order.\nAnswer: -2\/7, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -da5dc (base 14) to base 7.\nAnswer: -4326265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -155 + 154.99466. Round d to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -499 + 502. Solve 2*x - 2*o - 1 = -v*o, x + 3*o = -12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/12 and -43\/63572.\nAnswer: 190716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 0*i**5 - 5\/42*i**7 + 0*i**3 + 1\/2*i**4 - i + 0*i**6 + 0 + 0*i**2. Find the third derivative of r(f) wrt f.\nAnswer: -300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -264 + 342. What is the tens digit of -3 + 222\/u - (-5037)\/39?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -10, 118, -50, -6 in increasing order.\nAnswer: -50, -10, -6, 3, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 5288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q - 1 + 2 - 2. What is b(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**7\/c*c*c**(-2)*c*c*c)\/((c**(-4)\/c*c)\/c**(1\/3)))**42 assuming c is positive.\nAnswer: c**518","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2)*7\/(-14)*8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 6*r**2 - 2511*r + 10001. Determine c(4).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, i: 8, z: 1}. Give prob of sequence zzi.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 times 44.2?\nAnswer: -1812.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 4 = -4*y, 20*y - 29*y - 5*r - 9 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2838 + -1422. Suppose -5*r + r + c = 4*f, 0 = -4*r. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239*n = -240*n - 97. Let s = -30 - n. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 260174971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 93 + 81 = 0. Solve a = -0*a + 3, t - 12 = -c*a for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*m - 67, 2*t + 63 = 3*t + 4*m. Let n = -75 + t. Suppose -n*u + 18 = -2. Solve -4*b + u*d = b - 30, 5*b = -3*d - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61 - 61. Let z = w - -121.73. Let o = -0.1 - 0.9. Do z and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 902232 is divided by 211.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 8735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (8 - 11) + 6 - -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 19 = -3*y - 0, 0 = -4*y - 3*b - 26 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 69, 86, 107, 132, 161, 194?\n\"Answer: 2*t**2 + 11*t + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 - (144 + -2)\/(-2) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 17*p - 40 = -5*q, -q - 40 = -4*p. Let v(g) = 3*g - 8. Let s be v(10). Suppose -5*o - s = -107. What is the remainder when o is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 12 = 0, -2*b - 3*h + 6*h = 1716. Let u be (0 - (-8)\/12)\/((-4)\/b). Calculate the highest common divisor of u and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w**3 + 3*w - 3*w)*(-4*w + w + w) + w**4 + 674*w**2 - 9419*w + 4708*w + 4711*w as j*w**3 + n*w**2 + d*w + u*w**4 + l and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 - -385 - 30\/(-5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 361 + -636. Let w = q + 274.99999957. Round w to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 23*w**2 - 36*w - 27. Let r be q(21). Do 101 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1400) + sqrt(1400) + 2*sqrt(1400))\/sqrt(7).\nAnswer: 160*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 6*p + 8. Suppose 0 = -v, 0 = -3*r + 5*v - 7 + 16. Suppose -5 = m, 0 = r*w + m + 4 + 13. Let f be l(w). Solve f*k = -3*k + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1\/8, -24\/25, -1\/6?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 6\/13 (b) -0.05 (c) -44.2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*q - 8*q + 28*q + q - 7*q + q + (-5*q + 4*q + 3*q)*(0 + 0 - 2) to the form y + t*q and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -10.8. Let h = -5.2 + n. Let i = h + 4. Which is the closest to 0.1? (a) 0 (b) i (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -36*v + 2. Let l be z(-2). Let m = -41 + l. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o\/(o*o\/(o\/o**(2\/17)))))\/(o*o**11)*(o**3*o)**(-4\/3) assuming o is positive.\nAnswer: o**(-776\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(0 - 2\/526). Suppose 0*d + 150 = 3*v - 2*d, -d = 5*v - y. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -10 + (-1 - (-12 - -4)) + -4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ygy when three letters picked without replacement from ytqtgtkgtkqktyty.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1829 - 0.1830311. Round x to five decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 + 79. Suppose 1437 = z + d, 5*d - 10 = -r. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p + 504 = 13*p. Suppose 5*u + p = -4*r, 0*u + 124 = -2*r - 2*u. Let d = 64 + r. Solve 0 = -2*s + d for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35904372 and 134641395?\nAnswer: 538565580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9126, 73462, 248224, 588624, 1149874, 1987186, 3155772, 4710844?\n\"Answer: 9202*p**3 + p**2 - 81*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*z - 161 + 161)*(-3 - z**2 + 3).\nAnswer: 17*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - 2*(-434)\/(-488). Let s = -3691674 + 675578162\/183. Let l = y + s. What is the common denominator of l and 9\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 + 2*u + 8. Let r be w(-4). Let j be 4\/3*312\/13. Calculate the greatest common divisor of j and r.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 369, 1535, 3491, 6237, 9773, 14099, 19215?\n\"Answer: 395*l**2 - 19*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a millennium?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1096 + 1063. Which is the nearest to 1? (a) 3\/8 (b) -2\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = 3*a + i + 2, i + 34 = -a. Let h = 59 + a. Suppose -k = 5*o + 3*k + 1, 5*k + h = 0. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/(-5) + 2\/10. Suppose -3*x - 32 = -q, 103*x = 112*x + 63. Solve -i*a - q = -21 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 52*g + 333. Determine v(58).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, 1\/4, -3, -0.3, -4\/3.\nAnswer: -71, -3, -4\/3, -0.3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/14)\/(1\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**2 + 2*t - 12. Let r be -5 + 1 + 1 - (-32)\/(-4). Let o(k) = k**2 - k + 6. Let x(j) = r*o(j) - 6*v(j). What are the prime factors of x(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3163 and 127028.\nAnswer: -401789564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -866, -897, -926, -947, -954, -941?\nAnswer: -902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -1 - 2*d + d**2 - 2*d**2 + d**3 - 1. Suppose 39*u - 5*g = 38*u + 63, 2*u + 42 = -4*g. What is p(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10.12 from -1058.002503.\nAnswer: -1068.122503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20800971.\nAnswer: 3, 97, 23827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f = 4*f + 48. Let m = 4 + f. What is the derivative of -2 - 5 - 4*z + m*z + 3 wrt z?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24.602504 + 1.398156. Let z = -61 + 35. Let d = z + g. Round d to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*y - 1 - 0, 16 = -4*h + 2*y. Let z(v) be the second derivative of -v**5\/10 - v**4\/4 + 2*v**3\/3 + v**2 - 4*v. Is z(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/150)\/(6\/90)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 116 + 4535. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 8*g. Let s(f) = 7*f - 6. Let r(v) = -5 + 3*v + 0*v + 6*v - 3*v. Let u = -40 - -46. Let h(i) = u*r(i) - 5*s(i). Give h(y(z)).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2+-821289\nAnswer: -821291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12.9 and -0.14.\nAnswer: 1.806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r - 11. Let g be u(5). Let x be -1*(g + 2)*-1. Let s = -16 + 15. Which is the nearest to -3? (a) s (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -513*l + 523*l. Let y(u) = -5*u**2 - 4*u - 26. Let b(d) = -d**2 - d - 6. Let m(c) = -9*b(c) + 2*y(c). What is m(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -430403954*q - 430403958*q + 860807914*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 391 + -416. Which is smaller: o or -21?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 5a44b297?\nAnswer: 5a44b294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 3*w**2 - 3*w - 3. Let r be b(-3). Suppose 3*q - r*q = -18. Solve -5*n - q = 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.94 times -0.4\nAnswer: 1.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345*i + 60*i - 77*i.\nAnswer: -362*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 3, -1\/10, 48.\nAnswer: -1\/10, 0.5, 3, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (50\/60*24 - 1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - 38 - (4 + -13 + 43)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*a**3 + 15*a**2 = 0. Calculate a.\nAnswer: 0, 3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240*z**2 + 2921*z**2 + 1128*z**2.\nAnswer: 3809*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -3. Let h be y\/3*-6 + -1. What is the smallest value in h, -0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u + 26*u**3 + 2*u**3 + 2*u.\nAnswer: 28*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -28544867 take away -0.04?\nAnswer: -28544866.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*r = -116*r - 5*n - 8, 4*n + 16 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - -0.6. Suppose 4*y + 6 = -2*v, -68*y - 18 = -70*y - 4*v. Which is the biggest value? (a) p (b) y (c) -8\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.65932 + -0.66. What is u rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20007 and 600210.\nAnswer: 600210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-264)\/330)\/((-2)\/(-30)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 4:43 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -513*b**2\/2 - 413. Let s(j) = -j**2. What is s(z(k))?\nAnswer: -263169*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4087597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-714)\/255*10\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9386.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 115.274 - 0.274. Let r = h - 124.3. Round r to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2766?\nAnswer: 2, 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2368088, -4736176, -7104264, -9472352?\nAnswer: -11840440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4*b + 20 = 0, -3*b - 4 = i + 11. Suppose 3*d + 11 - 95 = i. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (16 - 5 - -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.29? (a) 8811 (b) -0.14 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 1 + 3)*(-3 + 4 + 1) - 30 - 54 + 98)*(-24 + 3*j**2 + 24).\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -34*x**2 - 43 + 16 + 11. Suppose 4*q = -4*t, 4*q - t - 4*t = 45. Let o(s) = -11*s**2 - 5. Calculate q*b(j) - 16*o(j).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -16*b - 3. Let a = -25 - -33. Suppose 0 = -5*q - 5*p + 20, 3*p - p + a = 0. What is the remainder when j(-2) is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 + 16*j - 8. Let m(d) = d - 1. Let k(o) = -3*m(o) + q(o). Let w be k(-7). Calculate the highest common factor of w and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/15 - 13\/3. Which is the closest to -1? (a) q (b) -3\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 130 - 127. Let u(z) = -15*z**2 + 23*z + 38*z**2 - 24*z - r. List the prime factors of u(2).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -988 by -29.\nAnswer: 988\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-564)\/288*-36)\/(18\/(-12))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 22?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10001 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9895 - 9862. Solve -39 = v*g + 27 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -1 (c) -0.03 (d) -3 (e) -5 (f) -1\/8 (g) 204.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 3*i - 4*i)*(0*i - i + 2*i + (2 + 3 - 4)*(2*i + 4*i - 4*i))*(-1558*i - 7*i**2 + 1 + 1558*i).\nAnswer: 21*i**4 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3178.\nAnswer: 2, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -250 + 1341154?\nAnswer: 1340604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/775392 and -79\/26004.\nAnswer: 8529312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-6)\/(i*(i*i\/i**4)\/i*i))\/(i*i**(1\/2))**(-6\/5))\/((i**(-2\/7)\/(i**(5\/4)*i))\/(i*i**(1\/3)*i*i**(4\/5))) assuming i is positive.\nAnswer: i**(1037\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 708454491 and -0.2?\nAnswer: 708454491.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w + 6. Suppose -2*d - 15*j = -11*j + 10, -3*d - 3*j = 15. Give h(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24172 divided by 1\nAnswer: 24172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 39883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 8*r + 10 = 0. Suppose r*t = -3*q - 7, -t - 12 = t + 4*q. What is the lowest common multiple of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and 170169.4.\nAnswer: -1701694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -7935*m**2. Let o(i) = 4*i - 645. Let f(p) = -5*p + 860. Let q(s) = 3*f(s) + 4*o(s). What is q(u(g))?\nAnswer: -7935*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 276964 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**2*a**(-5)*a)**39)**(1\/35) assuming a is positive.\nAnswer: a**(-78\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77623678?\nAnswer: 2, 11, 320759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1462 (b) 0.4 (c) -12 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - 0. Let l = g + 2.94. Round l to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 247494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -38. Suppose -v*t = -69 + 14. Let w = t + 27. What are the prime factors of w?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 25, -4*i = -2*r - 2*r + 460. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 2 - 5 + 6 + 6)*(-11*v + 12 - 12) to x*v + q and give x.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 135050.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/((3 + -6)\/(-1)). Suppose s*n - 105 = 5*n. Let m(v) = -3*v - 43. Does 5 divide m(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-816)\/476)\/(10\/7))\/((-66)\/(-33)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39430.94ml in litres?\nAnswer: 39.43094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 788986562*h**3*l - 3*h**2*l + 445*h**2 - 2*h*l - 41671*h wrt h?\nAnswer: 4733919372*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j - 836 - 1792 = 0. What are the prime factors of j?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*n - 43 + 232 = 65*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-2)*(-40)\/(960\/(-24)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1264441?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*v + 208 = -29*v. Solve -3*p - p = 3*o - v, 13 = p + 4*o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) 4 (b) -2 (c) -1.05939 (d) 8\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + 0 - 4) + (-18 - -18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1093 - -1095. Let m be (9 - 41)*(-2)\/4. Solve -m = -5*z + j, i = z - 0*j + j for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 10, 5*r - 3*o + 0*o = 579. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46 + 7 + 9 - (4 - 4)) + 0.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17\/811, 1\/5, -2369, 4 in decreasing order.\nAnswer: 4, 1\/5, -17\/811, -2369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (238236\/(-36) + 0)*-3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1618.40171 rounded to the nearest ten?\nAnswer: -1620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**4\/8 - 4*o**3\/3 - 44*o**2. Let w(z) = 15. Let n(j) = -4. Let v(m) = 4*n(m) + w(m). Give f(i) - 6*v(i).\nAnswer: -3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/28)\/((-4)\/14).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1.3217376 months?\nAnswer: 0.01101448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3237 = -q, -q = -3*q + 10. Let c = 1379 + p. Suppose -4*b + c + 26 = 3*a, -5*b = 5*a - 740. List the prime factors of b.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*4\/(-56) - (-630)\/(-1078).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9737650859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 87, -3, 1, 7, 4 in ascending order.\nAnswer: -3, 1, 4, 7, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -101 (b) 0.5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -208 * 645\nAnswer: -134160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*y**2 - 5*y**4 - 17*y**2 + (-5*y**2 - y + y)*(7*y**2 - 5*y**2 + 5*y**2) + 3*y**4 + 2*y**4 - 6*y**4 + y**4 + 0*y**4 + y**4.\nAnswer: -39*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 33*o**4 + 336*o**3 - 963*o**2 - 7446*o - 1320 = 0. What is o?\nAnswer: -11, -4, -2\/11, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -190*z + 174*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 18 - 10 = 0. Let k be -5*(-2)\/(40\/(-4))*z. Solve k*t = -t - 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 divided by -10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j = 65 - 95. Suppose 3*k = -4*o - 5, -2*o - 3 = k - 0. Calculate the greatest common divisor of j and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -45*s**2\/2 + 4*s - 203. Let x be p(0). Let w(g) = g**3 - 11. Let f(r) = -1. Give x*w(h) - 44*f(h).\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1286, 1164, 1040, 914?\nAnswer: 786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -835 greater than -842?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -102 + 100.49. Let n = 0.91 + w. Which is the biggest value? (a) -0.1 (b) -4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14*(-1 + 6\/4). Let g = 9 - h. What is the second derivative of 3*x + 5*x**2 - x**4 - 5*x**g wrt x?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 0.0434631.\nAnswer: -3.9565369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1320664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -a58 (base 13) in base 2?\nAnswer: -11011100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -1012?\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163328 is divided by 152003.\nAnswer: 11325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 - v**2 - 3*v**2)*(-710 - 292 - 1459 + 363) + (0*v**2 + 3*v**2 - v**2)*(3 + 1 - 3).\nAnswer: 2100*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 184611101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3*sqrt(243).\nAnswer: -27*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*o**3 + 7 + 0*o**3 + 4*o**3 - o**3 wrt o.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10825*j = 10835*j - 3382310. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3*f**4 + 25110*f**3 - 150012*f**2 - 4514616*f - 16259616 = 0.\nAnswer: -6, 18, 8364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 10) to base 9\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2636 - 1700. Suppose -b = 2*b - h. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.4009 - 0.5991. Let o = 0.06 + -55.06. What is the closest to -0.1 in 0.2, z, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 15*d**2 + 14*d + 11. Suppose 6 + 2 = 2*o. Let l(q) = -q**2 + 2*q - 6. Let j be l(o). Is 5 a factor of p(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16061.5224 hours to weeks.\nAnswer: 95.6043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.1 - -3. Let n = 1 - d. Which is the nearest to n? (a) -0.4 (b) 2\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*o + 16202, 21*z - 24*z + 9702 = 3*o. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c. Let b(t) = 62*t**2 - 7*t - 8. Let y(z) = 31*z**2 - 3*z - 3. Let s(j) = -3*b(j) + 7*y(j). Determine h(s(g)).\nAnswer: 93*g**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 282 + 177 - v**2 + v - 386 to the form r*v + z*v**2 + a and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 66517*r**3 - 9762 wrt r.\nAnswer: 199551*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1145, 2337, 3529?\n\"Answer: 1192*z - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*p - 17. Let k be p\/(-9) - (-66)\/9. Solve -2 = r, k = 2*h + 3*r - 2*r for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*v - 8*v - 24 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4687319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 8*g**2 - 8*g - 2. Let n be f(6). Suppose 2*d - 661 + 177 = 0. What is the greatest common factor of d and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 4 - 6 - -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 3:12 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 4:14 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -331*q + 710. Let p be (-12)\/4 + (2 - -41). Suppose 3*b = -0*i + 2*i - 38, -2*b = -2*i + p. Calculate the lowest common multiple of o(2) and i.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14003.\nAnswer: 11, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 472*w - 466*w - 18 = 0. Solve 5*j = -4*i, 3*j + 3 = -w*i - 0*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 174831 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 740711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h**2. Let t(o) = -8*o + 2*o - 2*o - o. Calculate y(t(g)).\nAnswer: 405*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen quarters of a decade?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 10000101110100101011?\nAnswer: -10000101110100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + -13. Suppose 14*x - 15*x = -f. Suppose -3*g + 3*w + 65 = -x, -g - 4*w = -8. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70230 and 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {e: 2, m: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = a - 2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -125\/966 + -6\/161. What is the second smallest value in 0.1, 2, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53053*p*z**2 - 385*p*z + 7*z**2 - 29*z - 54910 with respect to p.\nAnswer: -53053*z**2 - 385*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n**2 + n + 11. Let j be q(-6). Let y = j + 141. Factor l + 0 - 1\/2*l**y.\nAnswer: -l*(l - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 24*u - 210. Let s = 110 + -30. Calculate the greatest common divisor of s and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12\/55 + 4187\/220. Let c = 19 - d. Let s be (-16)\/12 + 1*2. What is the nearest to 1 in s, c, -4\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 7. Let o be g(-3). Let p = -5 + o. Is p + -2 + 5 - -217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(90*v + 171*v + 22*v - 14*v).\nAnswer: 538*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 1 - (5 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.14*160.6\nAnswer: -22.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1213110133 (base 4) in base 11?\nAnswer: -269a57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 339448\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) + 2)**2 - sqrt(5) - (sqrt(605) + 1))*2 + -2.\nAnswer: 64*sqrt(5) + 1214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39441.3 - -1.740228.\nAnswer: 39443.040228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.5889236 days?\nAnswer: 848.049984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441 is divided by 18832\/121 + 76\/209.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4244 + -728. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 7*l + 10. Let k be j(10). Suppose 3*v - k = v. Suppose 3*c + 0*c = 9, -v = -2*f - 2*c. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b + 26 - 39 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2, 7, -4\/3, 7\/57, -1?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2 - 3*b. Let k(v) = -5*v**2 + 118*v + 241. Let s be k(-2). Let d(f) = -f. Give s*d(c) + 5*t(c).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -9*o. Let h(u) = 27 - 56 + u**2 + 26. Let j(s) = 2*s**2 - 5. Let v(k) = 5*h(k) - 3*j(k). Determine x(v(d)).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 11*v + 6. Suppose 2*y - 1 = -13. Let r be (-4)\/(-5)*(-45)\/y. What is the remainder when x(r) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -8*t**4 + 5*t**2 + t - 59. What is the second derivative of a(u) wrt u?\nAnswer: -192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 2\/9, 119 in descending order.\nAnswer: 119, 2\/9, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70531 divided by -3.\nAnswer: 70531\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.1046 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.785 and 0.2039.\nAnswer: 0.9756615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 147? (a) -0.4 (b) -380 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/40)\/((-1256)\/128 + 7)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 68439 and 136878.\nAnswer: 136878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n - 2. Let b be o(2). Let f(c) = 10*c**2 - 2*c. Let t be f(b). Suppose -19 - t = -5*r + 5*y, 5*y + 27 = 3*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 22 + 26 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x - 82. Let g be n(-22). Let o(y) = -y**3. Let v(f) = -7*f**3 - f. Determine g*o(k) - v(k).\nAnswer: k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 5*g - 2. What is the nearest to 0.1 in 5, -0.4, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1940*-112.\nAnswer: -217280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1807*s + 2210*s + 7286*s.\nAnswer: 11303*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101010111100010101000 + -10111?\nAnswer: -1101010111100010111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 6*f + 3. Let i be u(6). Suppose 4 = i*v - 2*v. What is the units digit of v\/(2*-1)*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-29 - (-18 + 29))) + -8?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -4576696 + 219392123\/48. Let f = -6028 - q. Find the common denominator of -81\/44 and f.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -162 - -4?\nAnswer: -15c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.115 take away 13?\nAnswer: -13.115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-2) + 1 + 1. Let g = -27 + 29.8. Let p = g - 3. What is the nearest to p in -0.1, y, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 + 1 - 1 + (w - 5*w - 2*w)*(-2*w + w + 2*w) + w**2 + 4 - 4 to j*w + s + q*w**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 2) + 7 + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 464871763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 25, -z + 10*v = 6*v - 156. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 15025589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, s: 14}. Give prob of sequence ts.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 121*i - 11968. Give l(99).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.553 + -0.542. Which is the biggest value? (a) -0.2 (b) l (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 615639.2nm in meters?\nAnswer: 0.0006156392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63 - -70. Suppose t*k = -0*k + 63. Calculate the lowest common multiple of 5 and k.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u\/u**7*u*u\/u**7*(u**(2\/3)*u)**26*((u*u**(-1))**(-13\/3))**(-7) assuming u is positive.\nAnswer: u**(100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f**3\/2 - 185*f**2\/2 - 4175*f\/2 - 14375\/2 = 0. Calculate f.\nAnswer: -23\/3, -5, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 42352 divided by -6?\nAnswer: -21176\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3918 - -3914. Put -8, y, -6\/7, -0.05 in descending order.\nAnswer: -0.05, -6\/7, y, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21216516 a multiple of 348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248 + 5*a**2 + 125 + 123.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}